Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Chinese Journal of Physics

The kinetic energy partition method applied to a confined quantum harmonic oscillator in a one-dimensional box

Yu-Hsin Chen, Sheng Der Chao

Published Feb 2, 2018• 4 citations
Publisher
DOI
10.1016/j.cjph.2018.01.014

Related papers

Quantum-Mechanical Explicit Solution for the Confined Harmonic Oscillator Model with the Von Roos Kinetic Energy Operator

E. I. Jafarov, Sh. M. Nagiyev, A. M. Jafarova

Reports on Mathematical Physics•Aug 1, 2020•22 citations

Simple Method Obtaining Analytical Expressions of Particle and Kinetic-Energy Densities for One-Dimensional Confined Fermi Gases

Xiaoxue Yang, Ying Wu

We develop a simple approach to obtain explicitly exact analytical expressions of particle and kinetic-energy densities for noninteracting Fermi gases in one-dimensional harmonic confinement, and in one-dimensional box confinement as well.

Communications in Theoretical Physics•Mar 15, 2002•0 citations

1D Quantum Harmonic Oscillator

Brian P. Anderson

SPIE eBooks•Sep 12, 2019•0 citations

Two-particle Harmonic Oscillator in a One-dimensional Box

Paolo Amore, Francisco Marcelo Fernández

We study a harmonic molecule confined to a one-dimensional box with impenetrable walls. We explicitly consider the symmetry of the problem for the cases of different and equal masses. We propose suitable variational functions and compare the approximate energies given by the variation method and perturbation theory with accurate numerical ones for a wide range of values of the box length. We analyze the limits of small and large box size.

Acta Polytechnica•Jan 5, 2010•6 citations

Quantum dynamics of hydrogen-like atom in one-dimensional box with oscillating walls

S. Rakhmanov, O. Karpova, D.R. Rakhimboeva +2 more

The quantum dynamics of a hydrogen-like atom confined in one-dimensional box with oscillating walls is studied.The description of the system is reduced to a one-dimensional Schrödinger equation for Coulomb potential with time-dependent boundary conditions, which is solved numerically.Using the obtained solution, the average kinetic energy and binding energies are calculated as a function of time.It is found that both the average kinetic energy and the binding energies are periodic in time with the period depending on the wall's oscillation parameters.The probability density is also analyzed as a function of time and coordinate.

Nanosystems Physics Chemistry Mathematics•Dec 21, 2015•2 citations

QUANTUM MECHANICAL SOLUTION OF A DAMPED HARMONIC OSCILLATOR WITH TIME-DEPENDENT PARAMETERS

Honghua Xu

Acta Mathematica Scientia•Jul 1, 1985•0 citations
The quantum dynamics of a hydrogen-like atom confined in one-dimensional box with oscillating walls is studied.The description of the system is reduced to a one-dimensional Schrödinger equation for Coulomb potential with time-dependent boundary conditions, which is solved numerically.Using the obtained solution, the average kinetic energy and binding energies are calculated as a function of time.It is found that both the average kinetic energy and the binding energies are periodic in time with the period depending on the wall's oscillation parameters.The probability density is also analyzed as a function of time and coordinate.