Variations on a theme of Schwinger and Weyl

DOI10.1007/BF01872785zbMath0830.22006MaRDI QIDQ1900469

V. S. Varadarajan

Publication date: 28 January 1996

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

deformation quantizationquantum mechanicsSchwartz-Weil algebra

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Locally compact groups and their algebras (22D99)

Related Items (6)

Maximally symmetric stabilizer MUBs in even prime-power dimensions ⋮ On infinitesimal generators and Feynman–Kac integrals of adelic diffusion ⋮ Quantum systems with finite Hilbert space and Chebyshev polynomials ⋮ Torus as phase space: Weyl quantization, dequantization, and Wigner formalism ⋮ Representation of a quantum field Hamiltonian in \(p\)-adic Hilbert space ⋮ Some remarks on arithmetic physics

Cites Work

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• Tata lectures on theta. III
• Deformation theory and quantization. I: Deformations of symplectic structures
• Matrix coefficients and a Weyl correspondence for nilpotent Lie groups
• Nilpotent Fourier transform and applications
• Sur certains groupes d'opérateurs unitaires
• UNITARY OPERATOR BASES
• FINITE APPROXIMATIONS TO QUANTUM SYSTEMS
• THE ALGEBRA OF MICROSCOPIC MEASUREMENT

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