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Chinese journal of atomic and molecular physics

Double wave description of the motion of Q-dimensional charged Q-deformed oscillator in uniform electric field

Qixue Wu

Published Jan 1, 2002• 0 citations
OpenAlex

Abstract

Double wave theory is applied to describe the motion of a D-dimensional charged Q-deformed oscillator in uniform electric field. The time evolution equations of related physical quantities of the oscillator are derived.

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The quantal motion of a charged nonrelativistic particle in a uniform but time-varying electric field is discussed. It is pointed out that states of definite but variable momentum exist in this case and are, in a way, the analog of the coherent states of the harmonic oscillator. The gauge invariance of the theory is illustrated, and the results are related to the description of the motion in an accelerated reference frame. A brief discussion of the propagation function and of the evolution operator is also presented.