Exactly Soluble Harmonic Oscillator for a Particular Form of Time and Coordinates-Dependent Mass

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  • Exactly Soluble Harmonic Oscillator for

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Abstract

An exact solution of Schrödinger equation is presented for the problem of a harmonic oscillator of mass varying with time and coordinates according to<BR>m(q, t)=m0⁄e−νtk02q2.<BR>This case, compared with known types of equivalent interactions, leads again to a new one that relates the damped harmonic oscillator with velocity-depentent interaction problem.

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