Wigner's quasidistribution and Dirac's kets
Andreas Blass, Yuri Gurevich, and Alexander Volberg
TL;DR
This paper discusses Wigner's quasidistribution as a unique phase space representation for quantum states that correctly reproduces all marginal distributions for position, momentum, and their linear combinations.
Contribution
It establishes the uniqueness of Wigner's quasidistribution as the only quasidistribution with correct marginals for all linear combinations of position and momentum.
Findings
Wigner's quasidistribution is unique for quantum states.
It accurately reproduces marginals for position, momentum, and their linear combinations.
Provides foundational insight into phase space representations in quantum mechanics.
Abstract
In every state of a quantum particle, Wigner's quasidistribution is the unique quasidistribution on the phase space with the correct marginal distributions for position, momentum, and all their linear combinations.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · History and advancements in chemistry · Quantum chaos and dynamical systems