9 resultados para harmonic oscillator elementary review classical quantum

em Dalarna University College Electronic Archive


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In this work, I consider the center-of-mass wave function for a homogenous sphere under the influence of the self-interaction due to Newtonian gravity. I solve for the ground state numerically and calculate the average radius as a measure of its size. For small masses, M≲10−17 kg, the radial size is independent of density, and the ground state extends beyond the extent of the sphere. For masses larger than this, the ground state is contained within the sphere and to a good approximation given by the solution for an effective radial harmonic-oscillator potential. This work thus determines the limits of applicability of the point-mass Newton Schrödinger equations for spherical masses. In addition, I calculate the fringe visibility for matter-wave interferometry and find that in the low-mass case, interferometry can in principle be performed, whereas for the latter case, it becomes impossible. Based on this, I discuss this transition as a possible boundary for the quantum-classical crossover, independent of the usually evoked environmental decoherence. The two regimes meet at sphere sizes R≈10−7 m, and the density of the material causes only minor variations in this value.

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The aim of this degree thesis is to see what research says about the use of computer and video games to support upper elementary pupils’ development in English reading comprehension in Swedish schools. Other goals are to see how online and offline gaming can be integrated in the Swedish schools and what attitudes teachers have towards gaming. The method used is a systematic literature review and the purpose is to analyze chosen articles and to find relevant content that answers the research questions. Five articles were chosen from different databases and were systematically analyzed in this thesis. The results show that online gaming as support for education can be rewarding for some upper elementary pupils in English learning. However, in English reading comprehension there is not much research found which means that more research needs to be made within this area. Moreover, involving online gaming in English language learning seems to be a challenge for teachers mostly because of their lack of knowledge about the subject, even though they are positive to gaming. The lack of knowledge about the subject could be altered with more education and courses in the area.

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The use of children’s literature in the English as a Second language (ESL) classroom is a widely used teaching method. This study aims to find research relating to the incorporation of children’s literature in the lower elementary English as a secondlanguage classroom. The main questions are how children’s literature can be used in the classroom and what potential benefits it has. A systematic literature review was carried out and research from six studies was included. The included studies, analyzed in this thesis, involved children aged 6-9, who are learning a second language. The results reveal multiple benefits with the use of children’s literature in the lower elementary ESL classroom, such as vocabulary gains, improved speaking and listening skills, increased motivation and better pronunciation. The results also present a few suggestions on how to incorporate the literature in the classroom, where reading aloud to the students appears to be the most common practice. It also appears common to have post-reading sessions that include discussions about what has been read.

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The aim of this literature review is to investigate which strategies teachers use to motivate pupils to communicate orally in English. The literature review also investigates how these teacher strategies affect pupils. The methodology used for this investigation is a systematic literature review. Various databases have been used when searching for literature. Scientific articles and theses have been searched for. They have also been read and analyzed before they have become a part of this review. The results indicate that some teachers feel insecure when speaking English. Therefore Swedish is spoken in many language classrooms. Teachers speaking in front of the class is the traditional way of teaching, and it does not seem to be a strategy who influences pupils positively. If teachers speak the target language among pupils they often get more motivated and focused pupils who feel comfortable speaking English. Young pupils are fast learners. By exposing them to the English language in early ages they receive great opportunities to learn a foreign language and strengthen their self-confidence. Drama, songs and rhymes are preferable strategies to use when teaching young learners. What position teachers decide to take in the classroom is also a significant element when teaching foreign languages.

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We have obtained numerically exact results for the spin-related geometric quantum phases that arise in p-type semiconductor ring structures. The interplay between gate-controllable (Rashba) spin splitting and quantum-confinement-induced mixing between hole-spin states causes a much higher sensitivity of magnetoconductance oscillations to external parameters than previously expected. Our results imply a much-enhanced functionality of hole-ring spin-interference devices and shed new light on recent experimental findings.

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Electromagnetically induced transparency (EIT) is an important tool for controlling light propagation and nonlinear wave mixing in atomic gases with potential applications ranging from quantum computing to table top tests of general relativity. Here we consider EIT in an atomic Bose-Einstein condensate (BEC) trapped in a double-well potential. A weak probe laser propagates through one of the wells and interacts with atoms in a three-level Lambda configuration. The well through which the probe propagates is dressed by a strong control laser with Rabi frequency Omega(mu), as in standard EIT systems. Tunneling between the wells at the frequency g provides a coherent coupling between identical electronic states in the two wells, which leads to the formation of interwell dressed states. The macroscopic interwell coherence of the BEC wave function results in the formation of two ultranarrow absorption resonances for the probe field that are inside of the ordinary EIT transparency window. We show that these new resonances can be interpreted in terms of the interwell dressed states and the formation of a type of dark state involving the control laser and the interwell tunneling. To either side of these ultranarrow resonances there is normal dispersion with very large slope controlled by g. We discuss prospects for observing these ultranarrow resonances and the corresponding regions of high dispersion experimentally.

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We generalize the standard linear-response (Kubo) theory to obtain the conductivity of a system that is subject to a quantum measurement of the current. Our approach can be used to specifically elucidate how back-action inherent to quantum measurements affects electronic transport. To illustrate the utility of our general formalism, we calculate the frequency-dependent conductivity of graphene and discuss the effect of measurement-induced decoherence on its value in the dc limit. We are able to resolve an ambiguity related to the parametric dependence of the minimal conductivity.

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This paper traces the developments of credit risk modeling in the past 10 years. Our work can be divided into two parts: selecting articles and summarizing results. On the one hand, by constructing an ordered logit model on historical Journal of Economic Literature (JEL) codes of articles about credit risk modeling, we sort out articles which are the most related to our topic. The result indicates that the JEL codes have become the standard to classify researches in credit risk modeling. On the other hand, comparing with the classical review Altman and Saunders(1998), we observe some important changes of research methods of credit risk. The main finding is that current focuses on credit risk modeling have moved from static individual-level models to dynamic portfolio models.

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Even though English is a subject where Swedish pupils do well compared to pupils in other countries, research indicates that pupils are not always motivated to learn in the English classroom. Therefore, the aim of this study is to find research relating to the use of the target language in classrooms for pupils at the upper elementary level, particularly language learners in Sweden. The focus of this thesis is to find out what benefits and challenges accompany the use of the target language during English lessons, as well as what pupils’ opinions are on the consistent use of the target language in the classroom. This literature review of five research articles shows that it is beneficial for pupils’ language development to have lessons where mainly the target language is used. It is for example beneficial for pupils’ ability to speak, their pronunciation, vocabulary and ability to use language strategies. The results show that there are challenges as well, especially for the teachers, since use of the target language presumes that the teacher has good language skills and is capable of scaffolding each pupil at their individual level and in their zone of proximal development. Furthermore, there are challenges like differences in pupils’ skill level, creating tasks that both motivate and stimulate, and creating a safe learning environment. Even though the results in this thesis are limited, it is still obvious that it is an important area, where more research is necessary in order to assist teachers in how to teach English as effectively as possible.