Quantum mechanics in phase space: first order comparison between the Wigner and the Fermi function

2009/06/30 by G. Benenti, G. Strini
Physics and Astronomy · #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #Quantum many-body systems #quant-ph

paper · pdf · doi:10.1140/epjd/e2010-00006-y

published as Eur. Phys. J. D 57, 117 (2010) · 5 pages, 3 figures, added new data and discussion

arxiv created 2009/09/08 · openalex publication_date 2010/01/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The Fermi g_F(x,p) function provides a phase space description of quantum mechanics conceptually different from that based on the the Wigner function W(x,p). In this paper, we show that for a peaked wave packet the g_F(x,p)=0 curve approximately corresponds to a phase space contour level of the Wigner function and provides a satisfactory description of the wave packet's size and shape. Our results show that the Fermi function is an interesting tool to investigate quantum fluctuations in the semiclassical regime.

Citations

• Quantum and classical Liouville dynamics of the anharmonic oscillator
• Distribution functions in physics: Fundamentals
• Semiclassics of the chaotic quantum-classical transition
• Equivalence of Semiclassical and Quantum Mechanical Descriptions of Statistical Light Beams
• Environmental effects in the quantum-classical transition for the delta-kicked harmonic oscillator
• Decoherence, einselection, and the quantum origins of the classical
• Quantum computation and analysis of Wigner and Husimi functions: Toward a quantum image treatment
• On the Quantum Correction For Thermodynamic Equilibrium