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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
physics and astronomy
An alternative approach to exact wave functions for time-dependent coupled oscillator model of charged particle in variable magnetic field
Annals of Physics, Volume 325, No. 8, Year 2010
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Description
The quantum states of time-dependent coupled oscillator model for charged particles subjected to variable magnetic field are investigated using the invariant operator methods. To do this, we have taken advantage of an alternative method, so-called unitary transformation approach, available in the framework of quantum mechanics, as well as a generalized canonical transformation method in the classical regime. The transformed quantum Hamiltonian is obtained using suitable unitary operators and is represented in terms of two independent harmonic oscillators which have the same frequencies as that of the classically transformed one. Starting from the wave functions in the transformed system, we have derived the full wave functions in the original system with the help of the unitary operators. One can easily take a complete description of how the charged particle behaves under the given Hamiltonian by taking advantage of these analytical wave functions. © 2010 Elsevier Inc.
Authors & Co-Authors
Menouar, Salah
Algeria, Setif
Université Ferhat Abbas Sétif 1
Maamache, Mustapha
Algeria, Setif
Université Ferhat Abbas Sétif 1
Choi, Jeong-ryeol
South Korea, Daegu
Kyungpook National University
Statistics
Citations: 25
Authors: 3
Affiliations: 2
Identifiers
Doi:
10.1016/j.aop.2010.04.011
ISSN:
00034916
e-ISSN:
1096035X