Relativistic Wigner functions
نویسندگان
چکیده
منابع مشابه
Generating All Wigner Functions
In the context of phase-space quantization, matrix elements and observables result from integration of c-number functions over phase space, with Wigner functions serving as the quasi-probability measure. The complete sets of Wigner functions necessary to expand all phase-space functions include off-diagonal Wigner functions, which may appear technically involved. Nevertheless, it is shown here ...
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We consider a general Wigner function for a particle confined to a finite interval and subject to Dirichlet boundary conditions. We derive the boundary corrections to the ”star-genvalue” equation and to the time evolution equation. These corrections can be cast in the form of a boundary potential contributing to the total Hamiltonian. Moreover, in this context, it is the boundary potential that...
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The Wigner function is a quasiprobability density over phase space (for reviews, see Lee[1], Cohen[2], or Hillery et al.[3]; a quasiprobability is generally not positive semi-definite), so in a quantum field theory setting it is not manifestly Lorentz covariant. Quasiprobabilities are conceptually interesting partly because Arthurs-Kelly type interpretations of positive definite Husimi function...
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The properties of an alternative definition of quantum entropy, based on Wigner functions, are discussed. Such a definition emerges naturally from the Wigner representation of quantum mechanics, and can easily quantify the amount of entanglement of a quantum state. It is shown that smoothing of the Wigner function induces an increase in entropy. This fact is used to derive some simple rules to ...
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We describe the extension of the Wigner‘s infinite-dimensional unitary representations of Poincaré group to the case of κ-deformed Poincaré group. We show that the corresponding coordinate wave functions on noncommutative space-time are described by free field equations on κdeformed Minkowski space. The cases of Klein–Gordon, Dirac, Proca and Maxwell fields are considered. Finally some aspects ...
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ژورنال
عنوان ژورنال: EPJ Web of Conferences
سال: 2014
ISSN: 2100-014X
DOI: 10.1051/epjconf/20147801001