Hydrodynamic interpretation of generic squeezed coherent states: a kinetic theory
DOI10.1016/j.aop.2022.168900zbMath1497.81066arXiv2110.01102OpenAlexW4229080615MaRDI QIDQ2144668
Publication date: 14 June 2022
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.01102
Wigner functionquantum statistical mechanicsquantum phase spacesqueezed coherent stateshydrodynamic interpretation
Fractional derivatives and integrals (26A33) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Coherent states (81R30) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Vector-valued measures and integration (46G10) Measures of information, entropy (94A17) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Parallel shear flows in hydrodynamic stability (76E05) Stochastic mechanics (including stochastic electrodynamics) (81P20) Statistical thermodynamics (82B30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quantum blobs
- Coherent states and applications in mathematical physics.
- On the classical limit of Bohmian mechanics for Hagedorn wave packets
- Bohm's quantum potential as an internal energy
- Einstein, 1905--2005. Poincaré Seminar 2005. Papers of the seminar, Paris, France, April 9, 2005.
- Linear canonical transforms. Theory and applications
- On the relationship between the Wigner-Moyal and Bohm approaches to quantum mechanics: a step to a more general theory?
- The symplectic camel and the uncertainty principle: the tip of an iceberg?
- Pseudo holomorphic curves in symplectic manifolds
- The virial theorem in relativistic quantum mechanics
- A refinement of the Robertson-Schrödinger uncertainty principle and a Hirschman-Shannon inequality for Wigner distributions
- Quantum tomography of time-dependent nonlinear Hamiltonian systems
- How the weak variance of momentum can turn out to be negative
- Symplectic geometry and quantum mechanics
- On some types of topological groups
- Construction of time-dependent dynamical invariants: A new approach
- Harmonic Analysis in Phase Space. (AM-122)
- On the maslov index
- On the Quantum Correction For Thermodynamic Equilibrium
- Wigner functions for time-dependent coupled linear oscillators via linear and quadratic invariant processes
- The Quantum Theory of Motion
- Exact Quantization Conditions. II
- Coherent and Incoherent States of the Radiation Field
- Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams
- A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
- The Formulation of Quantum Mechanics in terms of Ensemble in Phase Space
- On the virial theorem in quantum mechanics
This page was built for publication: Hydrodynamic interpretation of generic squeezed coherent states: a kinetic theory
