Conditions for the convolution of two Wigner distributions to be itself a Wigner distribution
From MaRDI portal
Publication:3797730
DOI10.1063/1.527861zbMath0652.46058OpenAlexW2045687643MaRDI QIDQ3797730
Publication date: 1988
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.527861
Wigner distribution functionsspinless quantum mechanical system with n degrees of freedomWigner-Weyl phase-space formulation of quantum mechanics
Probability distributions: general theory (60E05) Measures and integration on abstract linear spaces (46G12) Stochastic mechanics (including stochastic electrodynamics) (81P20) Miscellaneous applications of functional analysis (46N99)
Related Items
Coherent states expectation values as semiclassical trajectories ⋮ Geometry and uncertainty ⋮ Polar duality between pairs of transversal Lagrangian planes; applications to uncertainty principles ⋮ Mixed states with positive Wigner functions ⋮ Mixed quantum states with variable Planck constant ⋮ Remarks on the fact that the uncertainty principle does not determine the quantum state ⋮ A refinement of the Robertson-Schrödinger uncertainty principle and a Hirschman-Shannon inequality for Wigner distributions ⋮ Quantum Harmonic Analysis of the Density Matrix ⋮ DEFORMATION QUANTIZATION AND WIGNER FUNCTIONS ⋮ Quantum polar duality and the symplectic camel: a new geometric approach to quantization ⋮ Wigner measures in noncommutative quantum mechanics ⋮ The Narcowich-Wigner spectrum of a pure state ⋮ What is the Wigner Function Closest to a Given Square Integrable Function? ⋮ Shape invariance in phase space ⋮ The symplectic camel and the uncertainty principle: the tip of an iceberg? ⋮ Generalized husimi functions: Analyticity and information content ⋮ Wigner functions on non-standard symplectic vector spaces
Cites Work
