# nLab Wigner function

## Idea

The usual quantum mechanics based on Schroedinger’s wave-function can be reformulated using a different distribution which behaves in some aspects like a probability, however it is negative for some points in space.

## Literature

• related $n$Lab entries include quantum mechanics, Weyl calculus

• wikipedia/Wigner quasiprobability distribution

• E. P. Wigner, On the quantum correction for thermodynamic equilibrium, Phys. Rev. 40 (5): 749–759 (1932)

• C. Zachos, D. Fairlie, T. Curtright, Quantum mechanics in phase space: an overview with selected papers, World Sci. 2005.

• Giuseppe Dito, Francisco J. Turrubiates, The damped harmonic oscillator in deformation quantization, Physics Letters A352:4–5 (2006) 309–316 doi

• B. Belchev, M.A. Walton, On Wigner functions and a damped star product in dissipative phase-space quantum mechanics, Annals of Physics 324 (2009) 670–681

• B Molnár, M G Benedict, J Bertrand, Coherent states and the role of the affine group in the quantum mechanics of the Morse potential, J. Phys. A34, N.14 doi

category: physics

Last revised on November 15, 2020 at 16:52:49. See the history of this page for a list of all contributions to it.