Strong-coupling expansion for the momentum distribution of the Bose-Hubbard model with benchmarking against exact numerical results

A strong-coupling expansion for the Green's functions, self-energies, and correlation functions of the Bose-Hubbard model is developed. We illustrate the general formalism, which includes all possible (normal-phase) inhomogeneous effects in the formalism, such as disorder or a trap potential, as well as effects of thermal excitations. The expansion is then employed to calculate the momentum distribution of the bosons in the Mott phase for an infinite homogeneous periodic system at zero temperature through third order in the hopping. By using scaling theory for the critical behavior at zero momentum and at the critical value of the hopping for the Mott insulator–to–superfluid transition along with a generalization of the random-phase-approximation-like form for the momentum distribution, we are able to extrapolate the series to infinite order and produce very accurate quantitative results for the momentum distribution in a simple functional form for one, two, and three dimensions. The accuracy is better in higher dimensions and is on the order of a few percent relative error everywhere except close to the critical value of the hopping divided by the on-site repulsion. In addition, we find simple phenomenological expressions for the Mott-phase lobes in two and three dimensions which are much more accurate than the truncated strong-coupling expansions and any other analytic approximation we are aware of. The strong-coupling expansions and scaling-theory results are benchmarked against numerically exact quantum Monte Carlo simulations in two and three dimensions and against density-matrix renormalization-group calculations in one dimension. These analytic expressions will be useful for quick comparison of experimental results to theory and in many cases can bypass the need for expensive numerical simulations.

Theoretical studies on magnetic superconductors

The discovery of magnetic superconductors has posed the problem of the coexistence of two kinds of orders (magnetic and superconducting) in some temperature intervals in these systems. New microscopic mechanisms developed by us to explain the coexistence and reentrant behaviour are reported. The mechanism for antiferromagnetic superconductors which shows enhancement of superconductivity below the magnetic transition is found relevant for rare-earth systems having less than half-filled f-atomic shells. The theory will be compared with the experimental results of SmRh4B4 system. A phenomenological treatment based on a generalized Ginzburg-Landau approach will also be presented to explain the anomalous behaviour of the second critical field in some antiferromagnetic superconductors. These magnetic superconductors provide two kinds of Bose fields, namely, phonons and magnons which interact with each other and also with the conduction electrons. Theoretical studies of the effects of the excitations of these modes on superconducting pairing and magnetic ordering in these systems will be discussed.

Om naturens förvandlingar : Vetenskap, kunskap och frihet i Rudolf Steiners tidiga tänkande. Idéhistoriska perspektiv på Waldorfpedagogiken

TRANSFORMATIONS OF NATURE Science, Knowledge and Freedom in the Early Thinking of Rudolf Steiner. Perspectives on Waldorf Education in the light of the History of Ideas Waldorf Education is based on the worldview that Rudolf Steiner (1861-1925) developed to a wide-ranging anthroposophical movement in the first decades of the 20th century. This thesis takes as its departure the early thinking of Rudolf Steiner that precedes anthroposophy, and its main purpose is to uncover the tradition of ideas represented in Steiner´s early life and which, in different ways, have emerged in the practice of Waldorf Education. Through systematic analysis I attempt to bring to light different aspects of Steiner’s early thinking: his concept of science, his epistemological startingpoints and his philosophy of freedom. By departing from J. W. Goethe’s qualitative concept of science, Steiner strove in his early works to formulate a monistic worldview which appears to be closely related to the Romantic Movement and its philosophy of nature. Characteristic traits of his thinking are, on the one hand, a critique of a one-sided enlightenment and, on the other hand, an aspiration to see the world as a living organic unity. Human beings can, by developing our intuitive faculties, get a deeper understanding of the indissoluble relationship between man and nature. Against this background Steiner´s early thinking can be read as a special kind of romantic development narrative. Steiner’s early thinking also opens the way for romantic perspectives on Waldorf Education. It appears that many central aims and conceptions in Waldorf Education can be illuminated by the epistemological perspective upon which Steiner elaborated early in his life. An organic curriculum, phenomenological didactics and high ideal of freedom can be considered seen as educational applications of conceptions that played an important role in Goethe and his age. Thus, Waldorf Education provides in our contemporary society an exceptional set of educational values: a holistic education with romantic undertones.

Semantic Fluency in Mild and Moderate Alzheimer's Disease

Alzheimer's disease (AD) is characterized by an impairment of the semantic memory responsible for processing meaning-related knowledge. This study was aimed at examining how Finnish-speaking healthy elderly subjects (n = 30) and mildly (n=20) and moderately (n = 20) demented AD patients utilize semantic knowledge to performa semantic fluency task, a method of studying semantic memory. In this task subjects are typically given 60 seconds to generate words belonging to the semantic category of animals. Successful task performance requires fast retrieval of subcategory exemplars in clusters (e.g., farm animals: 'cow', 'horse', 'sheep') and switching between subcategories (e.g., pets, water animals, birds, rodents). In this study, thescope of the task was extended to cover various noun and verb categories. The results indicated that, compared with normal controls, both mildly and moderately demented AD patients showed reduced word production, limited clustering and switching, narrowed semantic space, and an increase in errors, particularly perseverations. However, the size of the clusters, the proportion of clustered words, and the frequency and prototypicality of words remained relatively similar across the subject groups. Although the moderately demented patients showed a poor eroverall performance than the mildly demented patients in the individual categories, the error analysis appeared unaffected by the severity of AD. The results indicate a semantically rather coherent performance but less specific, effective, and flexible functioning of the semantic memory in mild and moderate AD patients. The findings are discussed in relation to recent theories of word production and semantic representation. Keywords: semantic fluency, clustering, switching, semantic category, nouns, verbs, Alzheimer's disease

Ohjaukselliset käytännöt yliopisto-opintojen alkuvaiheessa : Maatalous-metsätieteellisen tiedekunnan opiskelijoiden merkitykselliset kokemukset ensimmäisen opiskeluvuoden ohjauksesta

In this Master's Thesis I study guidance practises, which facilitate first year students' integration into the university. Besides formal guidance, for example tutoring and peer tutoring, general student advising and introduction courses, I address my research to informal everyday guidance practices. I aim to highlight existing supportive practices, which are meaningful from the university students' perspective. My aim is to study what kind of guidance practises exists in university and how these practises support first year student. The aim of the guidance practises is to facilitate new university student to integrate into the academic community. I study the implementation of this aim as a development of an academic identity, which requires that students have an opportunity for guided participation in academic practises. The research is based on phenomenological-hermeneutic research tradition, and my aim is to produce information of students' everyday experiences and meanings. My informants were students of agriculture and forestry at University of Helsinki. I gathered research material utilizing the critical incident technique in 11 theme interviews, which I carried out with individuals, pairs or small groups. During interviews I asked the students to describe and evaluate their first year guidance experiences, especially those that were extreme positive or negative. Based on my research I specified four meaningful guidance practices: care of students, transparency of the practises of the learning community, presence of guidance in everyday activities of a student and communal reflection to studies. I represent the character and components of the guidance practises, and I also describe the meaning of those practises to university students. Keywords: Guidance practices, guidance, first year studies, academic community, integration, academic identity,critical incidents

Luova mieli : lähikuvassa muusikoiden luomisprosessit

This work studied the creative process of musicians. The subject was chosen partly due to the attention given to creativity in social discussion. The approach was material-based, because during the work it became clear that the theoretical models describing the creative process in general did not provide adequate tools for the examination of musical creation. In this study, the creative process was defined as a process, which generated a work found by the musician novel to him or her. There were two principal research questions: 1) How does the creative process of musicians progress? 2) What makes a process creative? The main emphasis was on the first question, because the study aimed at modeling the creative process of musicians. The material for this study was collected by interviewing five professional musicians, each qualified by an expert of music to be creative. The interviews were thematically linked with each musician’s recently implemented creative process. The work generated in the process was used as a stimulant in the interview. The main themes of the interview dealt with the musician’s concrete action, cognitive functioning and affective experience during the process. Secondary themes included his or her goals as well as the factors that enhanced or inhibited the process. A material-based analysis was made of the interviews. The conceptualization and modelling of the creative process was founded on a phenomenological-hermeneutic interpretation. In addition to the primary interviews, also supplementary interviews were made in order to ensure that the description of the musician was understood correctly. Further supplementary interviews were made when the material was analyzed and results were deduced. This aimed at increasing the reliability of interpretations and conclusions. The study resulted in a four-level model representing the progress of a creative process. The levels were defined by means of the conception of state. The levels used in defining the process were 1) the state determining the potential of the process, 2) the state delimiting the process, 3) the state orienting the process, and 4) the state determined by the process. The progress of the process was described as changes taking place in the state. It was discovered that the factors having an effect on the creativity of the process were the dynamism of the process, the musician’s work in relation to his or her inner standard and the impulses that caused variation in the musician’s thinking. The interview method used in this study proved to be a very suitable tool in an examination of a creative process. Thus it may well be applicable in other research contexts associated with creative processes. The outcome of this study, the model of the progress of a creative process, should also provide a feasible basis for the examination of different kinds of creative processes. It enables a comprehensive examination of a creative process, simultaneously justifying the dynamic nature of the process.

Vammaisen lapsen äidin vanhemmuuden kokemus sekä lähiympäristön ja kasvatuskumppanuuden merkitys

The parenthood experience of a mother with a disabled child and the meaning of the social environment and parent-professional partnerships The importance of parental guidance when a family has a child with a disability or autism has been pointed out by several studies. The present research was based on the premise that by supporting the mother we can help the whole family to cope better and the professionals in day care or at school are able to support parents. The starting point was the subjective experience, which is also the central focus of the phenomenological method. The purpose of this study was firstly to describe the experience of the mother and the dialogue between mother and educational professionals. Secondly it was the task of this research to discover what kind of support and information the mother obtains from her social environment. At the background of this study there was the ecological theory of Bronfenbrenner, the ecocultural approach by Gallimore and the interactive examination of family that take into consideration the whole environment and personal situation. The research data was collected by interviewing the mothers, the day care personnel and the teachers at school. In this research there were a total of 32 interviews and 24 informants: 10 mothers who have a child with a disability and/or autism, 8 professionals in day care and 6 teachers at school. This study was longitudinal because the same mothers were interviewed twice, first in 1998 and then after five years in 2003. It was thus possible to get information on whether their life situation had changed and the nature of those changes. The data of this study was analysed by the method of phenomenological psychology that was applied for this study. The findings indicated that all mothers had experienced many complicated emotional feelings such as: anger, mourning, fear and sadness as well as love and bonding. It can be said that several human feelings existed at the same time. Mothers experienced that the support of the social environment, for example, relatives, families in the same situation and persons taking care of the child had significant meaning for their coping. However the life situation among the mothers varied. Mostly mothers received valuable support for their parenthood and they have adopted a strong emotion for manage ring. Mothers with an autistic child were more stressed than mothers with a mentally retarded child. A few mothers had numerous problems with taking care of their child and they did not get enough help. Same mothers were very exhausted too and the situation was quite the same after five years, when their child was teenager. All mothers said that after starting school the support for the family had significally diminished. Mothers said that dialogue with teacher got on without problems, but there were meetings seldom, so it wasn´t possible to get enough support for their parenthood. Keywords: parenthood, motherhood, disability, early special education, family-centred.

Kotitaloustaidon ulottuvuuksia : Analyysi kotitaloustaidosta eksistentialistis-hermeneuttisen fenomenologian valossa

DOMESTIC SKILLS AS THE ART OF EVERYDAY LIFE. An inquiry about domestic skills as a way of being-in-the-world in the light of existentialist-hermeneutics phenomenology. This study focuses on analyzing domestic skills in a phenomenological manner. The description phenomenological emerges from the interpretation process, which originates from the ontological question of domestic skills. The ontological question of how domestic skills are directs one s phenomenological gaze to the experiencing of domestic skills, rather than merely viewing their action or technical aspects. Along with the ontological question, the axiological question of what the meaning of domestic skills is drives the analysis. This study is both theoretical and philosophical. Phenomenology is the guiding philosophy, theory and methodology of the inquiry. Existentialist-hermeneutics is the emphasis which most appropriately describes the phenomenological attitude adopted within the analysis. Martin Heidegger s philosophy of being and Maurice Merleau-Ponty s philosophy of the lived body essentially form the theoretical base for the inquiry. The analysis reveals domestic skills within a core of Care and the Other. Care and the Other are anchored both in Heidegger s analysis of Dasein and in Merleau-Ponty s analysis of the reversible being-in-the-world. The social nature of being and the action-oriented intentionality of the lived body are embodied in Care and the Other. This ontological base of domestic skills enables us to see the extensions that inhabit in it. These extensions are redoing, emotional experiencing, adapting and emancipating. The analysis connects ability and action, which is why domestic skills and household activity must be seen as a united whole. This united whole is not the matter of the two components of the phenomenon, but is rather the matter of domestic skills as a way of being-in-the-world. Domestic skills are a channel for the phenomenon Home Economics to manifest in our lives. This is the gaze that presents domestic skills as to be like the poetry of everyday life. The main result of the study is the elucidation of the ontology of domestic skills and the naming of its extensions. This growth of philosophical understanding makes it possible to strengthen the science of home economics.

Young, gifted and spiritual -The case of Finnish sixth-grade pupils

The aim of this study was to explore the spirituality of Finnish academically gifted 12 13-year old pre-adolescents (N = 101). Their spirituality was investigated through the following three questions: (1) What is their relationship to religion? (2) How do they perceive transcendence? and (3) How does their search for meaning integrate into their lives? A total of 60 girls and 41 boys participated in the study. They attend a special school, Helsingin Suomalainen yhteiskoulu, in Helsinki, Finland. The school includes classes from grade 3 to upper secondary school and has an entrance test. This study is part of a research project called Actualizing Finnish Giftedness which is funded by the Finnish Academy between 2000 2007 and is led by Professor Tirri. The research project is based on Gardner s Multiple Intelligences theory (Gardner 1993) and on Hay s (1998) work on spirituality. The data in this study was gathered in 2003 and 2004. It includes both qualitative and quantitative material. The emphasis is on data gathered with interviews. The mixed method approach was used as the methodological framework for connecting the qualitative content analysis, phenomenological approach and the quantitative tests of this study. The results of the sub-studies are reported in full in the four original articles. First, the articles show that the pupils connect religion mainly with Christian institutions and do not consider religion and spirituality to overlap. Second, the articles show that the pupils believe in God and the interference of God in their lives and they think that reality includes a spiritual dimension. Third, the pupils had four kinds of existentially significant interests: personal, transcendental, cosmic and ethical. Cosmic interests were especially highlighted in the article concerning boys as nature and science were reported to be integral sources for their existential thinking. In addition, perceptions on God seemed to be connected to the individual s perception on the meaning of life. In RE, spiritual development has been a constant topic of interest since the late eighties. Likewise, recently in gifted education there have been discussions concerning spiritual intelligence (Gardner 1999) and spirituality of the gifted (Kerr & Cohn 2001). Based on the empirical results of the study, this study concludes that education wishing to promote spiritual development should aim at being existentially relevant to the pupils and use their existential search as an integrative framework for their individual talents and skills.

Kiusaamisen kasvot kasvatusyhteisössä : Päivähoitoyksikön esimiesten kokemuksia ja näkemyksiä työpaikkakiusaamisesta

The subject of my research was analyzing how psychological violence appears in educational communities in both preschool and kindergarten environments. The superiors of every daycare unit (a total of 80 units) in Vantaa were asked to tell about their own views and experiences of psychological violence in educational communities. In addition I cleared out the superior’s views on what the role of workplace counseling is in clearing out cases of psychological violence. A workplace always consists of people connected through work and the workplace creates a context for psychological violence. Working is public in an educational environment, as also customers set expectations and make wishes on how the work should be done. Different thoughts on what the working community should be creates pressure for the workers. My aim was to find out about the superior’s views on different types of psychological violence in the workplace, how one’s personality effects on an experience on psychological violence, the superior’s abilities and possibilities on noticing psychological violence in an early stage and the necessity of intervention. I also wanted to map the superior’s views and experiences on the value of workplace counseling in straightening out cases of psychological violence. The research point of view used was triangulation with hermeneutical and phenomenological features. The research method used was a semistructured questionnaire with a few open questions used to seek answers for the problems that have come up in the research. I analyzed the collected data partly from quantitative and partly from qualitative point of views, and also my aim was to understand psychological violence in the workplace as a phenomena in the communities within the early phases of education and to give this worker-to-worker mobbing a face. As a result of my research, I found out that the psychological violence inside the educational communities is more passive and scheming than aggressive or straightforward. The most important outcome of my research was finding a risk factor, where the superior is in danger of being the target of workplace psychological violence. Out the superiors who answered the questionnaire, 12% told they had been the target of this psychological violence after being transferred in to an old unit to work as the new superior. I hope this result will be of use when changes similar to this are known to take place. Avainsanat – Nyckelord – Keywords Psychological violence, educational enviroment, moral and ethic at work, role of the superior, role of a workplace consultant

Luonnoksia käsityön ruumiillisuudesta. : Käsityö Maurice Merleau-Pontyn ruumiinfenomenologian valossa.

Purpose This study focused on craft from a standpoint of phenomenological philosophy and craft was interpreted through Maurice Merleau-Ponty’s phenomenology of the body. The main focus was the physical phase of the craft process, wherein a product is made from material. The aim was to interpret corporality in craft. There is no former research focusing on lived body in craft science. Physical, bodily making is inalienable in craft, but it is not articulated. Recent discussion has focused on craft as ”whole”, which emphasizes designing part in the process, and craft becomes conceptualized with the theories of art and design. The axiomatic yet silenced basis of craft, corporality, deserves to become examined as well. That is why this study answers the questions: how craft manifests in the light of phenomenology of the body and what is corporality in craft? Methods In this study I cultivated a phenomenological attitude and turned my exploring eye on craft ”in itself”. In addition I restrained myself from mere making and placed myself looking at the occurrence of craft to describe it verbally. I read up Maurice Merleau-Ponty’s phenomenology of the body on his principal work (2002) and former interpretations of it. Interpreting and understanding textual data were based on Gadamer’s hermeneutics, and the four-pronged composition of the study followed Koski’s (1995) version of the Gadamerian process of textual interpretation. Conclusions In the construction of bodily phenomenology craft was to be contemplated as a mutual relationship between the maker and the world materializing in bodily making. At the moment of making a human being becomes one with his craft, and the connection between the maker, material and the equipment appears as communication. Operational dimension was distinctive in the intentionality of craft, which operates in many ways, also in craft products. The synesthesia and synergy of craft were emphasized and craft as bodily practice came to life through them. The moment of making appeared as situation generating time and space, where throwing oneself into making may give the maker an experience of upraise beyond the dualism of mind and body. The conception of the implicit nature of craft knowledge was strengthened. In the light of interpretation it was possible to conceptualize craft as a performance and making ”in itself” as a work of art. In that case craft appeared as bodily expression, which as an experience approaches art without being it after all. The concept of aesthetic was settled into making as well. Bodily and phenomenological viewpoint on craft gave material to critically contemplate the concept of “whole craft” (kokonainen käsityö) and provided different kind of understanding of craft as making.

Mallimestari globalisoituneen sarjatuotannon situationaalisessa prosessissa : Kokemustutkimus

In this thesis, taking place within the clothing industry of Finland, the impact of the globalisation of the economy on the pattern maker s job was studied and the present day fields of know-how of the job were found out. The thesis answers the questions, what are the characteristics of the patternmaker s job nowadays, and what areas of the know-how in the patternmaker s job form the core know-how, which is repeated in every organisation. Earlier studies of the subject do not exist in Finland. Similar studies have been made in USA (Staples 1993) and in Estonia (2002). Patternmakers who took part in this study were located in the Finnish clothing companies manufacturing or having clothes manufactured in series production, like clothing industry or chain of stores. A methodical triangulation was used in the thesis. In a phenomenological research of experience seven patternmakers were interviewed and in a quantitative research 26 patternmakers filled in a structured questionnaire. The phenomenological analysis has 2 parts. In the first phase using the professional background of the patternmakers, the historical development of the clothing industry for the last 40 years was described. In the second phase of the phenomenological analysis the description of the patternmaker s job was created based on the organisational strategy of the companies nowadays. The analysis of quantitative research material was performed by one-dimensional study of variables, where the variations in the amounts of variables lead to proportional conclusions. As a result of the structured questionnaire, the core know-how of the patternmaker was pointed out. In the thesis, the concept of situationality was used to describe the continuous change in the clothing industry. This explains the continuous requirement of patternmakers commitment to the time and location. The researcher has a background of a patternmaker and she works as a specialist instructor. With the thesis the researcher updates her professional competence. The analysis of the patternmaker s job can be used to update the content of patternmakers education in the vocational schools.

Low temperature Properties of glasses-unsolved problems

Glasses show very interesting behavior well below the glass transition temperature. Inspite of various experimental observations, even simple quantitative explanations relating these relaxation phenomena to structural properties are absent. In this paper we have tried to point out a phenomenological approach to this problem by identifying certain parameters which we think can be used to characterize these relaxations.

Electrochemical phase formation (ECPF) and macrogrowth Part I. Hemispherical models

The phenomenological theory of hemispherical growth is generalised to time-dependent nucleation and growth-rates. Special cases, which include models with diffusion-controlled rates, are analysed. Expressions are obtained for small and large time behaviour and peak characteristics of potentiostatic transients, and their use in model parameter estimation is discussed. Two earlier equations are corrected. Numerically calculated transients which are presented exhibit some interesting features such as a maximum preceding the steady state, oscillations and shoulder.

Axial and pseudoscalar current correlators and their couplings to eta and eta(') mesons

Correlators of singlet and octet axial currents, as well as anomaly and pseudoscalar densities have been studied using QCD sum rules. Several of these sum rules are used to determine the couplings f(eta)(8),f(eta)(0), f(eta)('8) and f(eta)('0). We find mutually consistent values which are also in agreement with phenomenological values obtained from data on various decay and production rates. While most of the sum rules studied by us are independent of the contributions of direct instantons and screening correction, the singlet-singlet current correlator and the anomaly-anomaly correlator improve by their inclusion.