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.

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

A signed particle formulation of non-relativistic quantum mechanics

Phase-space functions: can they give a different view of quantum mechanics?

The Wigner function has been studied for more than eight decades, in the quest to develop a phase-space formulation of quantum mechanics. But, it is not the only phase-space formulation. Here, we

A computable branching process for the Wigner quantum dynamics

A branching process treatment for the nonlocal Wigner pseudo-differential operator and its numerical applications in quantum dynamics is proposed and analyzed. We start from the discussion on two



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

The formulation of quantum mechanics in terms of phase space functions

  • D. Fairlie
  • Physics
    Mathematical Proceedings of the Cambridge Philosophical Society
  • 1964
Abstract A relationship between the Hamiltonian of a system and its distribution function in phase space is sought which will guarantee that the average energy is the weighted mean of the Hamiltonian

Quantum theory in curved spacetime using the Wigner function

A nonperturbative approach to quantum theory in curved spacetime and to quantum gravity, based on a generalization of the Wigner equation, is proposed. Our definition for a Wigner equation differs