W ∞ -covariance of the Weyl–Wigner–Groenewold–Moyal quantization
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Publication:4378301
DOI10.1063/1.532149zbMath0890.46056arXivquant-ph/9707040OpenAlexW3105709910MaRDI QIDQ4378301
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Publication date: 16 July 1998
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/9707040
Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Applications of functional analysis in quantum physics (46N50)
Related Items
Ordered products, W∞-algebra, and two-variable, definite-parity, orthogonal polynomials ⋮ \(\mathcal W\) geometry from Fedosov's deformation quantization ⋮ Phase space distributions and a duality symmetry for star products ⋮ \(\hbar\)-independent universality of the quantum and classical canonical transformations ⋮ Metaplectic covariance of the Weyl-Wigner-Groenewold-Moyal quantization and beyond
Cites Work
- The algebra of Weyl symmetrised polynomials and its quantum extension
- Deformation theory and quantization. I: Deformations of symplectic structures
- Moyal quantum mechanics: The semiclassical Heisenberg dynamics
- Wigner function and the parity operator
- \(W_ \infty\) algebras in the quantum Hall effect.
- Calculus for Functions of Noncommuting Operators and General Phase-Space Methods in Quantum Mechanics. I. Mapping Theorems and Ordering of Functions of Noncommuting Operators
- Quantum canonical invariance-a Moyal approach
- On the Quantum Correction For Thermodynamic Equilibrium
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