The Moyal representation of quantum mechanics and special function theory
From MaRDI portal
Publication:915918
DOI10.1007/BF00049127zbMath0703.33015MaRDI QIDQ915918
Joseph C. Várilly, José M. Gracia-Bondía, Walter Johannes Schempp
Publication date: 1990
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)
Related Items
On the regular Hilbert space representation of a Moyal quantization ⋮ Harmonium as a laboratory for mathematical chemistry ⋮ Unnamed Item ⋮ Semiclassics for particles with spin via a Wigner-Weyl-type calculus ⋮ Advances in Dixmier traces and applications ⋮ Neurocomputer architectures ⋮ Two-parameter asymptotics in magnetic Weyl calculus
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Intégrales de Fourier quadratiques et calcul symbolique exact sur le groupe d'Heisenberg. (Quadratic Fourier integrals and exact symbolic calculus on the Heisenberg group)
- Quantum mechanics and partial differential equations
- When is the Wigner quasi-probability density non-negative?
- Parity operator and quantization of \(\delta\)-functions
- An algebra of pseudodifferential operators and the asymptotics of quantum mechanics
- On asymptotic expansions of twisted products
- A Note on Hudson’s Theorem about Functions with Nonnegative Wigner Distributions
- Quadratic Hamiltonians in phase-space quantum mechanics
- Algebras of distributions suitable for phase-space quantum mechanics. I
- Phase-space projection identities for diffraction catastrophes
- On the role of the Heisenberg group in harmonic analysis
- Positivity of Weighted Wigner Distributions
- On the Quantum Correction For Thermodynamic Equilibrium
- On the principles of elementary quantum mechanics
