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An alternative approach to exact wave functions for time-dependent coupled oscillator model of charged particle in variable magnetic field

Salah Menouar·Mustapha Maamache·Jeong Ryeol Choi
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Abstract

A general treatment of the quantal time-dependent coupled oscillators in presence of the variable magnetic field is presented. The treatment is based on the use of an alternative canonical transformations, time-dependent unitary transformations and the invariant methods. Exact wave functions for Schr\"{o}dinger equations of this system are constructed.We applied our theory to a particular case and, co,sequently, showed that our results recovers to the perviously known one.

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Salah Menouar, Mustapha Maamache, Jeong Ryeol Choi. 2010-10-11. An alternative approach to exact wave functions for time-dependent coupled oscillator model of charged particle in variable magnetic field. https://doi.org/10.1016/j.aop.2010.04.011

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