Admissible states in quantum phase space

  title={Admissible states in quantum phase space},
  author={Nuno Costa Dias and Jo{\~a}o Nuno Prata},
  journal={Annals of Physics},

Weyl-Wigner Formulation of Noncommutative Quantum Mechanics

We address the phase space formulation of a noncommutative extension of quantum mechanics in arbitrary dimension, displaying both spatial and momentum noncommutativity. By resorting to a covariant

Coherent states expectation values as semiclassical trajectories

We study the time evolution of the expectation value of the anharmonic oscillator coordinate in a coherent state as a toy model for understanding the semiclassical solutions in quantum field theory.

Remarks on the formulation of quantum mechanics on noncommutative phase spaces

We consider the probabilistic description of nonrelativistic, spinless one-particle classical mechanics, and immerse the particle in a deformed noncommutative phase space in which position

Probing phase-space noncommutativity through quantum beating, missing information and the thermodynamic limit

In this work we examine the effect of phase-space noncommutativity on some typically quantum properties such as quantum beating, quantum information, and decoherence. To exemplify these issues we

Minimal length in quantum space and integrations of the line element in Noncommutative Geometry

We question the emergence of a minimal length in quantum spacetime, comparing two notions that appeared at various points in the literature: on the one side, the quantum length as the spectrum of an



The Wigner representation of quantum mechanics

Correct use of the Wigner representation of quantum mechanics, which is realized with joint distributions of quasiprobabilities in phase space, requires the use of certain specific rules and

Formulation of Quantum Mechanics Based on the Quasi-Probability Distribution Induced on Phase Space

A formulation of quantum mechanics is postulated which is based solely on a quasi-probability function on the classical phase space. It is then shown that this formulation is equivalent to the

Quantum mechanics as a statistical theory

  • J. E. Moyal
  • Physics
    Mathematical Proceedings of the Cambridge Philosophical Society
  • 1949
An attempt is made to interpret quantum mechanics as a statistical theory, or more exactly as a form of non-deterministic statistical dynamics. The paper falls into three parts. In the first, the

Generalized Phase-Space Distribution Functions

A set of quasi-probability distribution functions which give the correct quantum mechanical marginal distributions of position and momentum is studied. The phase-space distribution does not have to

Classical-quantum correspondence in the driven surface-state-electron model.

  • LatkaGrigoliniWest
  • Physics
    Physical review. A, Atomic, molecular, and optical physics
  • 1993
The quantum dynamics of minimum uncertainty wave packets in a system described by the surfacestate-electron Hamiltonian are studied and the classical concept of diffusion previously used in this context is shown to be inappropriate.

Quantum collision theory with phase-space distributions

Quantum-mechanical phase-space distributions, introduced by Wigner in 1932, provide an intuitive alternative to the usual wave-function approach to problems in scattering and reaction theory. The aim

Half Quantization

  • N. Dias
  • Physics, Computer Science
  • 1999
A quantization prescription mapping a given classical theory to the correspondent half quantum one is presented and used, as a guideline, to obtain a general formulation of coupled classical-quantum dynamics.