2001•Acta Scientiarum Naturalium Universitatis NeimongolRequires access

Quantum Properties of q-deformed Harmonic Oscillator and Their Coherent States in a Finite-Dimensional Hilbert Space

Yong Zhang

Abstract

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.

About this research paper

What this paper is about

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Coherent states, Harmonic oscillator, Hilbert space, Quantum harmonic oscillator, Quantum mechanics, Space (punctuation), Squeezed coherent state, Mathematics