2006/08/04 by Siamak Khademi, Khademi, Siamak
Mathematics · #FOS: Physical sciences #Quantum Physics (quant-ph) #Statistical Distribution Estimation and Applications
paper · pdf · doi:10.48550/arxiv.quant-ph/0608046
openalex publication_date 2006/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Wigner distribution function has much importance in quantum statistical mechanics. It finds applications in various disciplines of physics including condense matter, quantum optics, to name but a few. Wigner distribution function is introduced by E. Wigner in 1932. However, there is no analytical derivation of Wigner distribution function in the literatures, to date. In this paper, a simple analytical derivation of Wigner distribution function is presented. Our derivation is based on two assumptions, these are A) by taking the integral of Wigner distribution function, with respect to configuration space, the momentum space distribution function is obtained B) WDF is real. Similarly, and in addition to Wigner distribution function, the distribution function of Sobouti-Nasiri, which is imaginary, is also derived.