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Quantum Hydrodynamics: Theoretical Framework and Symmetries
Version 1
: Received: 13 February 2024 / Approved: 14 February 2024 / Online: 14 February 2024 (10:05:41 CET)
How to cite: Stephenson, M.J. Quantum Hydrodynamics: Theoretical Framework and Symmetries. Preprints 2024, 2024020781. https://doi.org/10.20944/preprints202402.0781.v1 Stephenson, M.J. Quantum Hydrodynamics: Theoretical Framework and Symmetries. Preprints 2024, 2024020781. https://doi.org/10.20944/preprints202402.0781.v1
Abstract
We present detailed models at the hydrodynamics and decoherence phenomena observed in ideal quantum gases. The model is expressed in terms of a quantum field theory, where the action involves both hydrodynamic and decoherence terms. The density-current relation is derived, and the current Green function is introduced. The effective action for two fields is presented, and the physical field is defined in terms of the bare action. Identities such as CTP symmetry, transposition, and the Ward identity are discussed. The Green function and its inverse for different components are also explored. These notes provide a comprehensive understanding of the theoretical framework for studying the hydrodynamics and decoherence of ideal quantum gases.
Keywords
Decoherence; Quantum Systems; Mathematical Framework; System Configuration; Quantum Information Processing; Quantum Hydrodynamics; Field Theory; Ideal Quantum Gases
Subject
Physical Sciences, Nuclear and High Energy Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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