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Acta Scientiarum Naturalium Universitatis Neimongol

Quantum Properties of q-deformed Harmonic Oscillator and Their Coherent States in Uniform Magnetic Field

Rui Li

Published Jan 1, 2001• 0 citations
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Abstract

The energy level structure and eigen functions of the q deformed harmonic oscillator in uniform magnetic field are obtained. Glauber coherent states are constructed and its quantum properties are studied. Some results that are different from usual harmonic oscillator are obtained.

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Journal of Xuchang University•Jan 1, 2009•0 citations
The energy level structure of the q deformed harmonic oscillator in a finite dimensional Hilbert space is studied.The Coherent states of the q deformed harmonic oscillator in a finite dimensional Hilbert space are constructed.It is shown that the energy level structure and the dynamic action are very different from that of usual harmonic oscillator due to the finiteness of the dimension of Hilbert space and the deformation parameter′s influence,and the coherent states are different from the Glauber coherent states.
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The article studies a simple method for any energy level of three dimensional harmonic oscillator in uniform magnetic field.According to the perturbation theory in degenerate state,wave function of three dimensional harmonic oscillator in the uniform magnetic field,and the popular formula of perturbation matrix elements of three dimensional harmonic oscillator in the uniform magnetic field,the energy levels of first-order for n = 5 are calculated.A formula of energy level for three dimensional harmonic oscillator in the uniform magnetic field is given.