Scale transformations in phase space and stretched states of a harmonic oscillator

DOI10.1134/S0040577917070091zbMath1390.81162OpenAlexW2749431949MaRDI QIDQ1705410

L. D. Davidović, V. A. Andreev, Milena D. Davidović, Miloš D. Davidović, Dragomir M. Davidović

Publication date: 15 March 2018

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577917070091

zbMATH Keywords

phase spaceuncertainty relationharmonic oscillatorHusimi functionscale transformationstretched state

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Analysis of variance and covariance (ANOVA) (62J10)

Cites Work

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• A transformational property of the Husimi function and its relation to the Wigner function and symplectic tomograms
• Operator method for calculating \(Q\) symbols and their relation to Weyl-Wigner symbols and symplectic tomogram symbols
• An introduction to the tomographic picture of quantum mechanics
• Quantum optical implementation of Grover's algorithm
• Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams

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