Harmonic oscillators from displacement operators and thermodynamics

Harmonic oscillators from displacement operators and thermodynamics

Physica A, 2018 In this investigation, the displacement operator is revisited. We established a connection between the Hermitian version of this operator with the well-known Weyl ordering. Besides, we characterized the quantum properties of a simple displaced harmonic oscillator, as well as of a dis...

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Bibliographic Details
Main Authors: Brito, F. A, Santos, F. F, Santos, J. R. L
Format: Journal Article
Language:English
Published: 23-10-2018
Subjects:
Physics - High Energy Physics - Theory
Physics - Quantum Physics
Physics - Statistical Mechanics
Online Access:Get full text
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Summary:Physica A, 2018 In this investigation, the displacement operator is revisited. We established a connection between the Hermitian version of this operator with the well-known Weyl ordering. Besides, we characterized the quantum properties of a simple displaced harmonic oscillator, as well as of a displaced anisotropic two-dimensional non-Hermitian harmonic oscillator. By constructing the partition functions for both harmonic oscillators, we were able to derive several thermodynamic quantities from their energy spectra. The features of these quantities were depicted and analyzed in details.
DOI:10.48550/arxiv.1801.10236