On a moduli space of the Wigner quasiprobability distributions
Presented by Ms. Astghik TOROSYAN
Track: Theoretical Physics
A mapping between operators on the Hilbert space of a finite-dimensional quantum system and the Wigner quasiprobability distributions defined on the symplectic flag manifold is discussed. The mapping is carried out by the kernel satisfying the Stratonovich-Weyl correspondence. Based on the algebraic equations for the eigenvalues of the Stratonovich-Weyl kernel, the moduli space of the Wigner quasiprobability distribution is determined. The general consideration is exemplified by a detailed description of the Wigner quasiprobability distributions of 2, 3 and 4-dimensional systems.