Equivalent Relations between Quantum Dynamics as Derived from a Gauge Transformation

Details Equivalent Relations between Quantum Dynamics as Derived from a Gauge Transformation Equivalent Relations between Quantum Dynamics as Derived from a Gauge Transformation

2000-09-05

arxiv.org/abs/hep-th/0009040v1

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, revtex

Scientific paper

Equivalent relations between quantum mechanical systems in the Robertson-Walker (RW) background metric and quantum dynamics with an induced quadratic background potential are derived in this work. Two elementary applications, which include an algebraic derivation of the evolution operator for a simple harmonic oscillator without using any special function or the path integral technique, and a moving soliton solution of a free particle in an oscillating universe, are presented to illustrate the use of these equivalent relations.

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