scholarly journals Classical path from quantum motion for a particle in a transparent box

2014 ◽  
Vol 36 (2) ◽  
Author(s):  
Salvatore De Vincenzo
Keyword(s):  
Undergraduate Students ◽  
Free Particle ◽  
Mean Value ◽  
Position Operator ◽  
One Dimensional ◽  
Quantum Numbers ◽  
Classical Path ◽  
The Mean ◽  
Basic Ideas ◽  
Quantum Motion

We consider the problem of a free particle inside a one-dimensional box with transparent walls (or equivalently, along a circle with a constant speed) and discuss the classical and quantum descriptions of the problem. After calculating the mean value of the position operator in a time-dependent normalized complex general state and the Fourier series of the function position, we explicitly prove that these two quantities are in accordance by (essentially) imposing the approximation of high principal quantum numbers on the mean value. The presentation is accessible to advanced undergraduate students with a knowledge of the basic ideas of quantum mechanics.

scholarly journals Research on Intelligent Compaction Technology of Subgrade Based on Regression Analysis

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Ziyi Hou ◽  
Xiao Dang ◽  
Yezhen Yuan ◽  
Bo Tian ◽  
Sili Li
Keyword(s):  
Resilient Modulus ◽  
Single Point ◽  
Mean Value ◽  
Test Results ◽  
Intelligent Compaction ◽  
One Dimensional ◽  
Remote Monitoring System ◽  
The Mean ◽  
The One ◽  
Compaction Degree

A remote monitoring system with the intelligent compaction index CMV as the core is designed and developed to address the shortcomings of traditional subgrade compaction quality evaluation methods. Based on the actual project, the correlation between the CMV and conventional compaction indexes of compaction degree K and dynamic resilient modulus E is investigated by applying the one-dimensional linear regression equation for three types of subgrade fillers, clayey gravel, pulverized gravel, and soil-rock mixed fill, and the scheme of fitting CMV to the mean value of conventional indexes is adopted, which is compared with the scheme of fitting CMV to the single point of conventional indexes in the existing specification. The test results show that the correlation between the CMV and conventional indexes of clayey gravel and pulverized gravel is much stronger than that of soil-rock mixed subgrades, and the correlation coefficient can be significantly improved by fitting CMV to the mean of conventional indexes compared with single-point fitting, which can be considered as a new method for intelligent rolling correlation verification.

scholarly journals On the spectra of Schrödinger and Jacobi operators with complex-valued quasi-periodic algebro-geometric coefficients

2005 ◽  
Author(s):  
◽  
Vladimir Batchenko
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Complex Plane ◽  
Mean Value ◽  
Qualitative Behavior ◽  
Conditional Stability ◽  
One Dimensional ◽  
Jacobi Operators ◽  
The Mean ◽  
Complex Valued

In this thesis we characterize the spectrum of one-dimensional Schrödinger operators. H = -d2/dx2+V in L2(R; dx) with quasi-periodic complex-valued algebro geometric, potentials V (i.e., potentials V which satisfy one (and hence infinitely many) equation(s) of the stationary Korteweg-de Vries (KdV) hierarchy) associated with nonsingular hyperelliptic curves. The spectrum of H coincides with the conditional stability set of H and can explicitly be described in terms of the mean value of the inverse of the diagonal Green's function of H. As a result, the spectrum of H consists of finitely many simple analytic arcs and one semi-infinite simple analytic arc in the complex plane. Crossings as well as confluences of spectral arcs are possible and discussed as well. These results extend to the Lp(R; dx)-setting for p 2 [1,1). In addition, we apply these techniques to the discrete case and characterize the spectrum of one-dimensional Jacobi operators H = aS+ + a-S- b in 2(Z) assuming a, b are complex-valued quasi-periodic algebro-geometric coefficients. In analogy to the case of Schrödinger operators, we prove that the spectrum of H coincides with the conditional stability set of H and can also explicitly be described in terms of the mean value of the Green's function of H. The qualitative behavior of the spectrum of H in the complex plane is similar to the Schrödinger case: the spectrum consists of finitely many bounded simple analytic arcs in the complex plane which may exhibit crossings as well as confluences.

scholarly journals Exploring factors associated with research involvement of undergraduate students at the College of Medicine and Health Sciences, University of Rwanda

2021 ◽  
Vol 21 (1) ◽  
Author(s):  
Eric Mugabo ◽  
Lotta Velin ◽  
Richard Nduwayezu
Keyword(s):  
Undergraduate Students ◽  
Undergraduate Research ◽  
Research Participation ◽  
Health Sciences ◽  
Mean Value ◽  
Sub Saharan Africa ◽  
Research Support ◽  
Factors Associated ◽  
Research Involvement ◽  
The Mean

Abstract Background Early involvement of students in research processes is an important step in professional development and can increase the academic output of the university. Previous studies indicate low research involvement amongst undergraduate students, however limited research has been done in sub-Saharan Africa. This study aimed to describe the level of research involvement amongst undergraduate students at the College of Medicine and Health Sciences (CMHS) at University of Rwanda (UR) and to assess factors associated with research involvement. Methods This cross-sectional study covered the three CMHS campuses. A survey was shared in class WhatsApp groups from July to September 2020. Data were analyzed using Stata IC 16.0 with descriptive statistics and Fisher’s exact test. P-values < 0.05 were considered statistically significant. Results In total, 324 students participated with the mean age being 23.3 (standard deviation 2.27). Males constituted 65.1% of respondents vs. 33.3% females. The largest portion of respondents were from the School of Medicine and Pharmacy (46.6%), and Medicine was the most frequent department (33.3%). On a Likert scale from 1 to 10, 60.0% of the respondents thought that research was 10/10 important for undergraduate students, with the mean value being 8.8. Rating their interest in taking part in research during undergraduate studies, 48.2% scored it 10/10, with the mean value being 8.57. 80.3% of respondents had attended a research module, course, or workshop; however, only 48.8% had participated in a research project and 72.0% of them had been involved in data collection. Inadequate knowledge about research processes and lack of mentors were the main barriers to research participation in 48.0 and 40.2% of respondents respectively. Establishment of a UR-Undergraduate research support center (77.2%), and involving students in ongoing UR projects (69.4%) were the most frequent suggestions to improve students’ research participation. Conclusion Undergraduate students at the CMHS in the UR have a large research interest, yet their involvement is currently low. Limited knowledge about research processes and shortage of mentors remains potent barriers to participation. Inviting undergraduate students to partake in ongoing projects and establishing a UR undergraduate research support center are recommended to strengthen undergraduate research experience at the UR-CMHS.

scholarly journals Static component of photothermal response in non-transparent samples

2012 ◽  
Vol 25 (3) ◽  
pp. 213-224 ◽  
Author(s):  
Zlatan Soskic ◽  
Slobodanka Galovic ◽  
Nebojsa Bogojevic ◽  
Slobodan Todosijevic
Keyword(s):  
Temperature Distribution ◽  
Mean Value ◽  
Optical Absorption Coefficient ◽  
Back Side ◽  
One Dimensional ◽  
Static Component ◽  
Special Cases ◽  
Static Part ◽  
The Mean ◽  
Analytical Expressions

The paper presents the analysis of the static component of temperature distribution in non-transparent samples during photothermal measurements. Analytical expressions for static part of temperature distribution in the irradiated sample and in its surroundings are determined using one dimensional model of heat transfer in a typical photothermal environment. It is established that the dominant factors that influence the shape and the mean value of the temperature distribution are optical absorption coefficient and thermal conductances of the sample and the surroundings. Important special cases are described and analytical expressions for temperatures of the front and the back side of the sample are derived.

Excursions above a fixed level by n-dimensional random fields

1976 ◽  
Vol 13 (2) ◽  
pp. 276-289 ◽  
Author(s):  
Robert J. Adler
Keyword(s):  
Stochastic Process ◽  
Random Field ◽  
Random Fields ◽  
Mean Value ◽  
Regularity Conditions ◽  
Gaussian Field ◽  
Differential Topology ◽  
One Dimensional ◽  
Excursion Set ◽  
The Mean

For an n-dimensional random field X(t) we define the excursion set A of X(t) by A = [t ∊ S: X(t) ≧ u] for real u and compact S ⊂ Rn. We obtain a generalisation of the number of upcrossings of a one-dimensional stochastic process to random fields via a characteristic of the set A related to the Euler characteristic of differential topology. When X(t) is a homogeneous Gaussian field satisfying certain regularity conditions we obtain an explicit formula for the mean value of this characteristic.

scholarly journals Inconstant Planck’s constant

2015 ◽  
Vol 30 (34) ◽  
pp. 1550209 ◽  
Author(s):  
Gianpiero Mangano ◽  
Fedele Lizzi ◽  
Alberto Porzio
Keyword(s):  
Coherent State ◽  
Harmonic Oscillator ◽  
Electromagnetic Fields ◽  
Free Particle ◽  
Mean Value ◽  
Fundamental Constants ◽  
Quantum Structure ◽  
Planck Constant ◽  
One Dimensional ◽  
Variance Formula

Motivated by the Dirac idea that fundamental constants are dynamical variables and by conjectures on quantum structure of space–time at small distances, we consider the possibility that Planck constant [Formula: see text] is a time depending quantity, undergoing random Gaussian fluctuations around its measured constant mean value, with variance [Formula: see text] and a typical correlation timescale [Formula: see text]. We consider the case of propagation of a free particle and a one-dimensional harmonic oscillator coherent state, and show that the time evolution in both cases is different from the standard behavior. Finally, we discuss how interferometric experiments or exploiting coherent electromagnetic fields in a cavity may put effective bounds on the value of [Formula: see text].

Excursions above a fixed level by n-dimensional random fields

1976 ◽  
Vol 13 (02) ◽  
pp. 276-289 ◽  
Author(s):  
Robert J. Adler
Keyword(s):  
Stochastic Process ◽  
Random Field ◽  
Random Fields ◽  
Mean Value ◽  
Regularity Conditions ◽  
Gaussian Field ◽  
Differential Topology ◽  
One Dimensional ◽  
Excursion Set ◽  
The Mean

For an n-dimensional random field X(t) we define the excursion set A of X(t) by A = [t ∊ S: X(t) ≧ u] for real u and compact S ⊂ Rn. We obtain a generalisation of the number of upcrossings of a one-dimensional stochastic process to random fields via a characteristic of the set A related to the Euler characteristic of differential topology. When X(t) is a homogeneous Gaussian field satisfying certain regularity conditions we obtain an explicit formula for the mean value of this characteristic.

scholarly journals Association of academic stress & performance in continuous assessment among pharmacy students in body system course

2016 ◽  
Vol 15 (1) ◽  
Author(s):  
May Khin Soe ◽  
Mohamad Sharul Fahmi Baharudin
Keyword(s):  
Undergraduate Students ◽  
Time Management ◽  
Mean Value ◽  
Pharmacy Students ◽  
Body System ◽  
Continuous Assessment ◽  
Cross Sectional ◽  
Significant Difference ◽  
The Mean ◽  
Whole Class

Introduction: Undergraduate Pharmacy students find the program is stressful. This study compares the perceived stress score (PSS) of third year Pharmacy students and their performance via continuous assessment (CAM) in a body system course. Methods: The relationship between the PSS and their academic performance, though out the semester were explored for 114 students including 25 male and 85 female. In this cross-sectional study, questionnaires were distributed to assess their PSS, other relevant questions and the result in four quizzes on the course were recorded periodically and analyzed descriptively. Results: The mean value of the whole class PSS score was found (38.66 ± 6.46). Females’ PSS in 1st quiz was 38.76 ± 5.56 and male’s was 39.21 ± 5.48 and quiz 2 for female was 38.61 ± 6.27 whereas 40.1 ± 7.48 in male. That value in quiz 3 and 4 for female was 38.10 ± 7.18 and male was 39.69± 8.68. However, there is no significant difference in gender. The PSS score for all participants was found highest in the second quiz (38.99 ± 6.60) whereas the mean marks they obtained were lowest (4.97 ± 1.36) compared to other quizzes but their relation is weakly significant. Total scoring of the CAM for the whole class was found even lower compared to previous batches, 23.83 ± 3.88. They were engaged with various co-curriculum activities and complained of not having enough time to study and revise. The unsatisfactory performance might be due to heavy topics and time constraint. Conclusions: Stress and time management are critical elements for undergraduate students to perform well academically regardless of their stress level.

Adiabatische Invarianz im Mittel / Adiabatic Invariance in the Average

1975 ◽  
Vol 30 (4) ◽  
pp. 421-430 ◽  
Author(s):  
L. Janicke
Keyword(s):  
Phase Plane ◽  
Mean Value ◽  
Adiabatic Invariant ◽  
Adiabatic Process ◽  
One Dimensional ◽  
Action Integral ◽  
Particle Ensemble ◽  
The Mean ◽  
The One ◽  
Particles In Electromagnetic Fields

AbstractWe study the possibility to construct an adiabatic invariant for charged particles in electromagnetic fields, that vary strongly in space but only slowly in time (measured by a small parameter ε). We specialize to those fields, where the motion of the particle is described by a Hamiltonian that corresponds to a one-dimensional oscillator with a potential exhibiting two minima. This type of potential can occur in the case of one-dimensional fields with neutral sheets. The action integral I=∮ p dq is no longer an adiabatic invariant for particles with an energy near the value of the inner maximum of the potential, nor is it a continuous function of the energy. The second difficulty can be removed by proper redefinition. Then by using the area conservation in the phase plane it can be shown that for any arbitrary particle ensemble in the phase plane of the one-dimensional oscillator the mean value of the action integral is adiabaticly invariant to order ε ln4 ε. Under certain circumstances it can happen that a coherent ensemble splits up into two separated groups. It will be shown that this also can be understood essentially as an adiabatic process.

scholarly journals Scale of mean value multivariate Pade interpolations

Filomat ◽  
2017 ◽  
Vol 31 (4) ◽  
pp. 1123-1128 ◽  
Author(s):  
Cevdet Akal ◽  
Alexey Lukashov
Keyword(s):  
Polynomial Interpolation ◽  
Mean Value ◽  
One Dimensional ◽  
The Mean ◽  
The One

Recently the authors introduced the mean value multipoint multivariate Pad? approximations which generalize the Goodman-Hakopian polynomial interpolation and the one dimensional multipoint Pad? approximations. Now, we present the scale of mean value multipoint multivariate Pad? interpolations which includes as particular cases both the scale of mean value polynomial interpolations and the multipoint multivariate Pad? approximations.

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