Intertwined Hamiltonians in Two Dimensional Curved Spaces

The problem of intertwined Hamiltonians in two dimensional curved spaces is investigated. Explicit results are obtained for Euclidean plane,Minkowski plane, Poincar{\' e} half plane ($AdS_2$), de Sitter Plane ($dS_2$), sphere, and torus. It is shown that the intertwining operator is related to the Killing vector fields and the isometry group of corresponding space. It is shown that the intertwined potentials are closely connected to the integral curves of the Killing vector fields. Two problems of considered as applications of the formalism presented in the paper. The first one is the problem of Hamiltonians with equispaced energy levels and the second one is the problem of Hamiltonians whose spectrum are like the spectrum of a free particle.Comment: To appear in Annals of Physic

Autonomous generation of all Wigner functions and marginal probability densities of Landau levels

Generation of Wigner functions of Landau levels and determination of their symmetries and generic properties are achieved in the autonomous framework of deformation quantization. Transformation properties of diagonal Wigner functions under space inversion, time reversal and parity transformations are specified and their invariance under a four-parameter subgroup of symplectic transformations are established. A generating function for all Wigner functions is developed and this has been identified as the phase-space coherent state for Landau levels. Integrated forms of generating function are used in generating explicit expressions of marginal probability densities on all possible two dimensional phase-space planes. Phase-space realization of unitary similarity and gauge transformations as well as some general implications for the Wigner function theory are presented.Comment: 28 pages, 2 tables. Typos and a minor revision only section

Cliffordization, Spin and Fermionic Star Products

Deformation quantization is a powerful tool for quantizing theories with bosonic and fermionic degrees of freedom. The star products involved generate the mathematical structures which have recently been used in attempts to analyze the algebraic properties of quantum field theory. In the context of quantum mechanics they provide a canonical quantization procedure for systems with either bosonic of fermionic degrees of freedom. We illustrate this procedure for a number a physical examples, including bosonic, fermionic and supersymmetric oscillators. We show how non-relativistic and relativistic particles with spin can be naturally described in this framework.Comment: 21 page

Effect of PDEODE Teaching Strategy on Turkish Students' Conceptual Understanding: Particulate Nature of Matter

The aim of this study is to determine the effect of activities developed in accordance with PDEODE teaching strategy on students’ understanding of the particulate nature of matter. The sample of the study consists of the first grade students who study in the Primary School Teacher Education Program. In order to determine the conceptual change on students a test consisting of 8 questions was applied to the sample. This test was applied as pre-test, post-test and delayed post-test. The difference between the measurements was found statistically significant (p0.05)

Epistemic Infinitism, the Reason-Giving Game, and the Regress Skeptic

Epistemic infinitism is one of the logically possible responses to the epistemic regress problem, claiming that the justification of a given proposition requires an infinite and non-circular structure of reasons. In this paper, I will examine the dialectic between the epistemic infinitist and the regress skeptic, the sort of skeptic that bases his attack to the possibility of justification on the regress of reasons. I aim to show that what makes epistemic infinitism appear as well-equipped to silence the regress skeptic is the very same thing that renders it susceptible to a powerful skeptical assault by the regress skeptic

The Holism of Doxastic Justification

I argue against the orthodox view of doxastic justification, according to which a belief of a given subject is justified for her just in case the subject has a good reason for the belief and she also bases the belief on that reason. The orthodox view is false, I maintain, because there might be unjustified beliefs that are based on the good reasons that support them. The fault lies with the ‘particularism’ of the orthodox view, which is why it cannot handle those cases where certain ‘holistic’ considerations render an otherwise justified belief unjustified. Accordingly, I argue for a holistic constraint on doxastic justification: whether a subject that bases a particular belief on a reason that supports it is justified in having that belief depends on what she does, cognitively speaking, with that reason vis-à-vis a considerable portion of her other beliefs

A REVIEW ON ACADEMIC ACHIEVEMENT OF STUDENTS OF VOCATIONAL COLLEGES IN TERMS OF CERTAIN FACTORS: SAMPLE OF TURKEY

Purpose: This study aims to identify the effect of factors including homework assignment given within semesters, class attendance and the type of high school graduated on vocational college students’ academic achievements in the Corporate Accounting course. Design/methodology/approach: In order to determine the sample’ understanding level on the topic of stock corporations which is a subtopic in Corporate Accounting course, a test consisting of 20 multiple-choice questions was prepared by the researchers. The reliability of the test was determined as 0.84 by using the formula “KR-20”. Causal - comparative research design was used in scope of the study. The data obtained was analyzed by using independent samples t-test, ANOVA and regression. Findings: Upon the analyses carried out, it was found out that academic achievement varies depending on the homework assignment given within the period and class attendance hours of the student. When the joint effect of the factors on academic achievement was examined, it was seen that only the homework assignment factor has a significant effect. Research limitations/implications: This study only examined the Corporate Accounting course which is studied by the students of Accounting and Tax Applications Department in one vocational college in Turkey. In this study, used variables that are thought to be related with the academic achievement and on which unbiased data can be collected were preferred. Originality/Value: In the studies so far, the effects of the related variables on academic achievement have been examined one by one. This study determines the common effect of multiple variables used in this study called homework assignment, class attendance and the type of high school graduated on academic achievement. In this way, it will be possible to learn the variables that are more influential on academic achievement within a single study

The effect of single-task versus dual-task assessment on muscle strength and performance in individuals with knee osteoarthritis

Background Dual-task activities, which involve performing two separate tasks simultaneously, often result in reduced motor function and daily activity performance among individuals with knee osteoarthritis (OA). Objective This study aimed to investigate the impact of single- and dual-task conditions on muscle strength and performance in individuals with knee OA and examine how cognitive load influences physical task performance in this population. MethodsSixty patients with knee OA were included. Baseline data included demographic characteristics, pain (Visual Analog Scale), and physical function (Western Ontario and McMaster Universities Osteoarthritis Index (WOMAC)). Muscle strength and performance were assessed using isokinetic and sit-to-stand tests, initially under single-task conditions, and then under dual-task conditions three days later. Dual-tasking involved physical tasks with varying cognitive exercises (changed between sessions) and familiarization sessions to minimize learning effects. Results The investigation revealed that individuals with knee OA showed reduced muscle strength and impaired sit-to-stand performance during dual-task activities, with lower peak torque (p = .0025), total work (p = .026), and longer time to peak torque (p = .011). Decreased muscle performance correlated with worse WOMAC scores (p <= .01, r = -0.506), particularly in dual-task conditions. Regression analysis identified extension total work and the sit-to-stand test as key predictors of dual-task performance, explaining 32.2% of the variance. Conclusion Dual-task performance impairs muscle strength and physical function in individuals with knee OA, demonstrated by reduced peak torque, total work, and sit-to-stand performance. Extension total work and sit-to-stand test emerged as key predictors of dual-task performance, emphasizing the need to address cognitive load in rehabilitation strategies