Quantum Mechanics in Phase Space

2007/06/01 by Ali M. Nassimi, Nassimi, Ali Mohammad · 8 citations
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.0706.0237

openalex publication_date 2007/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The basics of the Wigner formulation of Quantum-Mechanics and few related interpretational issues are presented in a simple language. This formulation has extensive applications in Quantum Optics and in Mixed Quantum-Classical formulations.

Citations

• Distribution functions in physics: Fundamentals

Cited by

• Wigner negativity and stellar rank for SU(1,1) states
• Quantum Mechanics on Lie Groups: I. Noncommutative Fourier Transforms
• Time evolution of the Husimi and Glauber-Sudarshan functions in terms of complementary Hamiltonian symbols
• Numerical computation of the density of states of aperiodic multiscale Schrödinger operators
• Tagged vector space, Part I: Dirac notation as originally intended
• Duality symmetries and phase space quantum theory
• Efficient Convex Optimization for Bosonic State Tomography
• Affine Quantization of the Interior Schwarzschild Black Hole

Related

• Visualizing quantum mechanics in phase space
• Quantum Mechanics in Phase Space: An introduction
• Phase-space descriptions of operators and the Wigner distribution in quantum mechanics I. A Dirac inspired view
• Classical Structures in Quantum Mechanics and Applications
• The Phase Space Formulation of Time-Symmetric Quantum Mechanics, I: the Wigner Formalism