## 30 Citations

### Weyl-Wigner Formulation of Noncommutative Quantum Mechanics

- Physics
- 2006

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

- Physics
- 2006

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.…

### States in the Hilbert space formulation and in the phase space formulation of quantum mechanics

- Physics, Mathematics
- 2012

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

- Physics, Mathematics
- 2012

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…

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

- Physics
- 2015

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

- Physics, Mathematics
- 2016

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…

## References

SHOWING 1-10 OF 47 REFERENCES

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

- Physics
- 1958

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

- PhysicsMathematical 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

- Physics
- 1966

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.

- PhysicsPhysical 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

- Physics
- 1983

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

- PhysicsMathematical 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

- Physics
- 1997

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…