Thermal and quantum fluctuations of harmonic oscillator
Shigenori Tanaka, Yuto Komeiji
TL;DR
This paper analyzes the positional fluctuations of a quantum harmonic oscillator in a heat bath, providing analytic expressions for the probability distribution functions in various regimes, including classical and ground states.
Contribution
It offers new analytic formulas for the position distribution of a quantum harmonic oscillator across different thermal and quantum regimes.
Findings
Derived probability distribution functions for oscillator position
Provided explicit formulas for classical and ground state limits
Enhanced understanding of quantum and thermal fluctuation behavior
Abstract
We discuss the positional fluctuations of a quantum harmonic oscillator in a heat bath. Analytic expressions are given for the probability distribution functions of the oscillator position in general and limiting (classical and ground state) cases.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Spectroscopy and Quantum Chemical Studies