The solutions and tunneling properties for a linear potential and an inverted harmonic oscillator in an infinite well

In this work we look at two different 1-dimensional quantum systems. The potentials for these systems are a linear potential in an infinite well and an inverted harmonic oscillator in an infinite well. We will solve the Schrödinger equation for both of these systems and get the energy eigenvalues and eigenfunctions. The solutions are obtained by using the boundary conditions and numerical methods. The motivation for our study comes from experimental background. For the linear potential we have two different boundary conditions. The first one is the so called normal boundary condition in which the wave function goes to zero on the edge of the well. The second condition is called derivative boundary condition in which the derivative of the wave function goes to zero on the edge of the well. The actual solutions are Airy functions. In the case of the inverted oscillator the solutions are parabolic cylinder functions and they are solved only using the normal boundary condition. Both of the potentials are compared with the particle in a box solutions. We will also present figures and tables from which we can see how the solutions look like. The similarities and differences with the particle in a box solution are also shown visually. The figures and calculations are done using mathematical software. We will also compare the linear potential to a case where the infinite wall is only on the left side. For this case we will also show graphical information of the different properties. With the inverted harmonic oscillator we will take a closer look at the quantum mechanical tunneling. We present some of the history of the quantum tunneling theory, its developers and finally we show the Feynman path integral theory. This theory enables us to get the instanton solutions. The instanton solutions are a way to look at the tunneling properties of the quantum system. The results are compared with the solutions of the double-well potential which is very similar to our case as a quantum system. The solutions are obtained using the same methods which makes the comparison relatively easy. All in all we consider and go through some of the stages of the quantum theory. We also look at the different ways to interpret the theory. We also present the special functions that are needed in our solutions, and look at the properties and different relations to other special functions. It is essential to notice that it is possible to use different mathematical formalisms to get the desired result. The quantum theory has been built for over one hundred years and it has different approaches. Different aspects make it possible to look at different things.

Wood species identification by visual characterization of fibers

Kandidaatintyö tehtiin osana PulpVision-tutkimusprojektia, jonka tarkoituksena on kehittää kuvapohjaisia laskenta- ja luokittelumetodeja sellun laaduntarkkailuun paperin valmistuksessa. Tämän tutkimusprojektin osana on aiemmin kehitetty metodi, jolla etsittiin kaarevia rakenteita kuvista, ja tätä metodia hyödynnettiin kuitujen etsintään kuvista. Tätä metodia käytettiin lähtökohtana kandidaatintyölle. Työn tarkoituksena oli tutkia, voidaanko erilaisista kuitukuvista laskettujen piirteiden avulla tunnistaa kuvassa olevien kuitujen laji. Näissä kuitukuvissa oli kuituja neljästä eri puulajista ja yhdestä kasvista. Nämä lajit olivat akasia, koivu, mänty, eukalyptus ja vehnä. Jokaisesta lajista valittiin 100 kuitukuvaa ja nämä kuvat jaettiin kahteen ryhmään, joista ensimmäistä käytettiin opetusryhmänä ja toista testausryhmänä. Opetusryhmän avulla jokaiselle kuitulajille laskettiin näitä kuvaavia piirteitä, joiden avulla pyrittiin tunnistamaan testausryhmän kuvissa olevat kuitulajit. Nämä kuvat oli tuottanut CEMIS-Oulu (Center for Measurement and Information Systems), joka on mittaustekniikkaan keskittynyt yksikkö Oulun yliopistossa. Yksittäiselle opetusryhmän kuitukuvalle laskettiin keskiarvot ja keskihajonnat kolmesta eri piirteestä, jotka olivat pituus, leveys ja kaarevuus. Lisäksi laskettiin, kuinka monta kuitua kuvasta löydettiin. Näiden piirteiden eri yhdistelmien avulla testattiin tunnistamisen tarkkuutta käyttämällä k:n lähimmän naapurin menetelmää ja Naiivi Bayes -luokitinta testausryhmän kuville. Testeistä saatiin lupaavia tuloksia muun muassa pituuden ja leveyden keskiarvoja käytettäessä saavutettiin jopa noin 98 %:n tarkkuus molemmilla algoritmeilla. Tunnistuksessa kuitujen keskimäärinen pituus vaikutti olevan kuitukuvia parhaiten kuvaava piirre. Käytettyjen algoritmien välillä ei ollut suurta vaihtelua tarkkuudessa. Testeissä saatujen tulosten perusteella voidaan todeta, että kuitukuvien tunnistaminen on mahdollista. Testien perusteella kuitukuvista tarvitsee laskea vain kaksi piirrettä, joilla kuidut voidaan tunnistaa tarkasti. Käytetyt lajittelualgoritmit olivat hyvin yksinkertaisia, mutta ne toimivat testeissä hyvin.

Ethical leadership as a way to promote work-related well-being

The purpose of this study was to clarify the connections of ethical leadership with the work-related well-being of employees. Additionally, the role of occupational health care in ethical leadership that promotes work-related well- being was analyzed. The objective of the study was to produce knowledge to support the development of ethical leadership and work-related well-being as well as to find ways for occupational health care to support organizations in these actions. The target groups of this study consisted of the managers (N=43) and employees (N=336) working in one organization in the Finnish energy industry. The population was studied in November 2014 using census. The data was gathered with two different web-based surveys containing structured and open questions. The survey for managers consisted of background questions and statements concerning ethical leadership, work-related well-being and occupational health care. The employee questionnaire consisted of questions about background and statements about work-related well-being and ethical leadership. The structured questions were analyzed with SPSS Statistical Program and the open questions using inductive content analysis. At least 80 % of the managers saw their actions as ethical in all but one part of ethical leadership. The work-related well-being of the employees was found best in the area of ability to work (91 % agreed) and lowest in the area of experience of ethical leadership (67 % agreed). The results showed a strong positive connection between ethical leadership and all the components of work- related well-being. The managers and employees were generally quite happy with the services of occupational health care but managers saw some problems with the collaboration with occupational health care. Several ways to improve work-related well-being and collaboration with occupational health care were found. One of the most important things was thought to be offering ways to maintain ability to work and making these actions visible. Investing in ethical leadership and work-related well-being is extremely important for the success of an organization and the societal benefits cannot be forgotten either. The role of occupational health care in promoting the health and well-being of employees is substantial. Occupational health care should offer managers more tools to recognize difficult situations and acting in them as well as encourage managers to seek help from occupational health care without hesitation in problematic situations of leadership.

Ethical leadership as a way to promote work-related well-being

The purpose of this study was to clarify the connections of ethical leadership with the work-related well-being of employees. Additionally, the role of occupational health care in ethical leadership that promotes work-related well- being was analyzed. The objective of the study was to produce knowledge to support the development of ethical leadership and work-related well-being as well as to find ways for occupational health care to support organizations in these actions. The target groups of this study consisted of the managers (N=43) and employees (N=336) working in one organization in the Finnish energy industry. The population was studied in November 2014 using census. The data was gathered with two different web-based surveys containing structured and open questions. The survey for managers consisted of background questions and statements concerning ethical leadership, work-related well-being and occupational health care. The employee questionnaire consisted of questions about background and statements about work-related well-being and ethical leadership. The structured questions were analyzed with SPSS Statistical Program and the open questions using inductive content analysis. At least 80 % of the managers saw their actions as ethical in all but one part of ethical leadership. The work-related well-being of the employees was found best in the area of ability to work (91 % agreed) and lowest in the area of experience of ethical leadership (67 % agreed). The results showed a strong positive connection between ethical leadership and all the components of work- related well-being. The managers and employees were generally quite happy with the services of occupational health care but managers saw some problems with the collaboration with occupational health care. Several ways to improve work-related well-being and collaboration with occupational health care were found. One of the most important things was thought to be offering ways to maintain ability to work and making these actions visible. Investing in ethical leadership and work-related well-being is extremely important for the success of an organization and the societal benefits cannot be forgotten either. The role of occupational health care in promoting the health and well-being of employees is substantial. Occupational health care should offer managers more tools to recognize difficult situations and acting in them as well as encourage managers to seek help from occupational health care without hesitation in problematic situations of leadership.