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College Physics

The probability of the quantized harmonic oscillator being in the nth quantum state in a system at temperature T

Zhi-Xiang Zhang

Published Jan 1, 2004• 0 citations
OpenAlex

Abstract

The probability of the quantized harmonic oscillator being in the nth quantum state in a system at temperature T are studied and discussed.

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We consider the problem of the driven harmonic oscillator in the probability representation of quantum mechanics, where the oscillator states are described by fair nonnegative probability distributions of position measured in rotated and squeezed reference frames in the system's phase space. For some specific oscillator states like coherent states and nth excited states, the tomographic-probability distributions (called the state tomograms) are found in an explicit form. The evolution equation for the tomograms is discussed for the classical and quantum driven oscillators, and the tomographic propagator for this equation is studied.