Ermakov equations in quantum mechanics
R. Tsekov
TL;DR
This paper extends the Ermakov equation in quantum mechanics to include dissipative and thermal effects, modeling the influence of an environment on a harmonic oscillator.
Contribution
It introduces a generalized Ermakov equation incorporating environmental effects, advancing the theoretical framework of quantum harmonic oscillators.
Findings
Extended Ermakov equation with dissipative terms
Modeling environmental effects in quantum systems
Potential applications in quantum thermodynamics
Abstract
The Ermakov equation, appearing in quantum mechanics of a harmonic oscillator, is extended via dissipative and thermal terms to take into account the effect of an environment.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Quantum Mechanics and Applications