Exact solution of the time-dependent harmonic plus an inverse harmonic potential with a time-dependent electromagnetic field

Date

2003-12-01

Author

Yuce, C

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

210
views

0
downloads

In this paper, the problem of the charged harmonic plus an inverse harmonic oscillator with time-dependent mass and frequency in a time-dependent electromagnetic field is investigated. It is reduced to the problem of the inverse harmonic oscillator with time-independent parameters and the exact wave function is obtained.

Subject Keywords

Coherent states, Oscillator, Excitations, Mass

URI

https://hdl.handle.net/11511/63330

Journal

ANNALS OF PHYSICS

DOI

https://doi.org/10.1016/s0003-4916903)00175-1

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

EXACT SPIN AND PSEUDO-SPIN SYMMETRIC SOLUTIONS OF THE DIRAC-KRATZER PROBLEM WITH A TENSOR POTENTIAL VIA LAPLACE TRANSFORM APPROACH Arda, Altug; Sever, Ramazan (2012-09-28) Exact bound state solutions of the Dirac equation for the Kratzer potential in the presence of a tensor potential are studied by using the Laplace transform approach for the cases of spin- and pseudo-spin symmetry. The energy spectrum is obtained in the closed form for the relativistic as well as non-relativistic cases including the Coulomb potential. It is seen that our analytical results are in agreement with the ones given in the literature. The numerical results are also given in a table for different p...
Exact solutions for vibrational levels of the Morse potential Taşeli, Hasan (IOP Publishing, 1998-01-16) The vibrational levels of diatomic molecules via Morse potentials are studied by means of the system confined in a spherical box of radius l, II is shown that there exists a critical radius l(cr),, at which the spectrum of the usual unbounded system can be calculated to any desired accuracy. The results are compared with those of Morse's classical solution which is based on the assumption that the domain of the internuclear distance r includes the unphysical region (-infinity, 0). By determining numerically...
Synchronization of linearly and nonlinearly coupled harmonic oscillators Penbegül, Ali Yetkin; Tuna, Sezai Emre; Department of Electrical and Electronics Engineering (2011) In this thesis, the synchronization in the arrays of identical and non-identical coupled harmonic oscillators is studied. Both linear and nonlinear coupling is considered. The study consists of two main parts. The first part concentrates on theoretical analysis and the second part contains the simulation results. The first part begins with introducing the harmonic oscillators and the basics of synchronization. Then some theoretical aspects of synchronization of linearly and nonlinearly coupled harmonic osci...
JOINT ENTROPY OF THE HARMONIC OSCILLATOR WITH TIME-DEPENDENT MASS AND/OR FREQUENCY Akturk, Ethem; ÖZCAN, ÖZGÜR; Sever, Ramazan (World Scientific Pub Co Pte Lt, 2009-04-30) Time-dependent joint entropy is obtained for harmonic oscillator with the time-dependent mass and frequency case. It is calculated by using time-dependent wave function obtained via Feynman path integral method. Variation of time dependence is investigated for various cases.
Spin force and torque in non-relativistic Dirac oscillator on a sphere Shikakhwa, M. S. (2018-03-30) The spin force operator on a non-relativistic Dirac oscillator (in the non-relativistic limit the Dirac oscillator is a spin one-half 3D harmonic oscillator with strong spin-orbit interaction) is derived using the Heisenberg equations of motion and is seen to be formally similar to the force by the electromagnetic field on a moving charged particle. When confined to a sphere of radius R, it is shown that the Hamiltonian of this non-relativistic oscillator can be expressed as a mere kinetic energy operator w...

Citation Formats

C. Yuce, “Exact solution of the time-dependent harmonic plus an inverse harmonic potential with a time-dependent electromagnetic field,” ANNALS OF PHYSICS, pp. 599–604, 2003, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63330.