Existence of the Wigner function with correct marginal distributions along tilted lines on a lattice
- 4 February 2002
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 65 (3) , 032105
- https://doi.org/10.1103/physreva.65.032105
Abstract
For the Wigner function of a system in N-dimensional Hilbert space, we propose the condition, which ensures that the Wigner function has correct marginal distributions along tilted lines. Under this condition we get the Wigner function without ambiguity if N is odd. If N is even, the Wigner function does not exist.Keywords
All Related Versions
This publication has 11 references indexed in Scilit:
- Wigner functions on a latticePhysical Review A, 2001
- Discrete Wigner function and quantum-state tomographyPhysical Review A, 1996
- Quantum-State Tomography and Discrete Wigner FunctionPhysical Review Letters, 1995
- A stochastic treatment of the dynamics of an integer spinJournal of Physics A: General Physics, 1988
- A tomographic approach to Wigner's functionFoundations of Physics, 1987
- The Wigner representation of quantum mechanicsSoviet Physics Uspekhi, 1983
- Quantum-mechanical distribution functions: Conditions for uniquenessPhysics Letters A, 1981
- Quantum mechanics in phase space: I. Unicity of the Wigner distribution functionPhysica A: Statistical Mechanics and its Applications, 1976
- Description of States in Quantum Mechanics by Density Matrix and Operator TechniquesReviews of Modern Physics, 1957
- On the Quantum Correction For Thermodynamic EquilibriumPhysical Review B, 1932