skip to main content

SciTech ConnectSciTech Connect

Title: Statistical mechanics based on fractional classical and quantum mechanics

The purpose of this work is to study some problems in statistical mechanics based on the fractional classical and quantum mechanics. At first stage we have presented the thermodynamical properties of the classical ideal gas and the system of N classical oscillators. In both cases, the Hamiltonian contains fractional exponents of the phase space (position and momentum). At the second stage, in the context of the fractional quantum mechanics, we have calculated the thermodynamical properties for the black body radiation, studied the Bose-Einstein statistics with the related problem of the condensation and the Fermi-Dirac statistics.
Authors:
;  [1]
  1. Physics Department, LRPPS Laboratory, Ouargla University, Ouargla 30000 (Algeria)
Publication Date:
OSTI Identifier:
22251035
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 3; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BLACKBODY RADIATION; BOSE-EINSTEIN STATISTICS; FERMI STATISTICS; HAMILTONIANS; PHASE SPACE; QUANTUM MECHANICS; STATISTICAL MECHANICS