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

Bai Xian

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Abstract

The energy level structure and eigen wave functions of the q deformed harmonic oscillator in electric field are obtained by using the q differential.Glauber coherent states are constructed and its quantum properties are studied.It is shown that the dynamic actions are different from that of usual harmonic oscillator due to the deformation parameter′s influence.When q=1,q deformed harmonic oscillator degrades to usual harmonic oscillator.

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What this paper is about

The energy level structure and eigen wave functions of the q deformed harmonic oscillator in electric field are obtained by using the q differential.Glauber coherent states are constructed and its quantum properties are studied.It is shown that the dynamic actions are different from that of usual harmonic oscillator due to the deformation parameter′s influence.When q=1,q deformed harmonic oscillator degrades to usual harmonic oscillator.

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Available abstract

The energy level structure and eigen wave functions of the q deformed harmonic oscillator in electric field are obtained by using the q differential.Glauber coherent states are constructed and its quantum properties are studied.It is shown that the dynamic actions are different from that of usual harmonic oscillator due to the deformation parameter′s influence.When q=1,q deformed harmonic oscillator degrades to usual harmonic oscillator.

Key concepts: Harmonic oscillator, Coherent states, Quantum harmonic oscillator, Vackář oscillator, Parametric oscillator, Physics, Quantum mechanics, Electric field

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