On the structure of quantum phase space

DOI10.1063/1.528952zbMath0729.47064OpenAlexW2087635189MaRDI QIDQ3353659

Diógenes Galetti, Ruben Aldrovandi

Publication date: 1990

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

Full work available at URL: http://hdl.handle.net/11449/64036

zbMATH Keywords

quantum phase spacelabel spaceSchwinger's basis for unitary quantum operatorsstructure of symplectic typesymplectic form of classical phase space

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (10)

SPIN SQUEEZING AND ENTANGLEMENT VIA FINITE-DIMENSIONAL DISCRETE PHASE-SPACE DESCRIPTION ⋮ On the discrete Wigner function for $\mathrm{SU(N)}$ ⋮ Quantization of a black-hole gravity: geometrodynamics and the quantum ⋮ Extended gauge theories ⋮ Projective Fourier duality and Weyl quantization ⋮ Quantum mechanics as a matrix symplectic geometry ⋮ Theoretical formulation of finite-dimensional discrete phase spaces. I: Algebraic structures and uncertainty principles ⋮ Wave packets in discrete quantum phase space ⋮ Fourier duality as a quantization principle ⋮ On quantum mechanics and generalized Clifford algebras

Cites Work

• UNITARY OPERATOR BASES
• Quantal phase factors accompanying adiabatic changes
• A stochastic treatment of the dynamics of an integer spin
• von Neumann lattices and magnetic orbitals in finite phase space

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