Semiclassical expansion theory in phase space
Anno: 1995
Autori: Smerzi A.
Affiliazione autori: Department of Physics, University of Illinois at Urbana-Champaign 1110 West Green Street, Urbana, Illinois 61801-3080; Laboratorio Nazionale del Sud, Istituto Nazionale di Fisica Nucleare, via Andrea Doria, 95125 Catania, Italy
Abstract: We study the h perturbation expansion of the quantum Wigner equation. It leads to a unified formulation of semiclassical approximations based on the phase-space representation of quantum mechanics. We derive the O(h(2)) quantum corrections to the finite-temperature Bose and Thomas-Fermi phase-space distributions. Both reduce, in the high-temperature limit, to the known quantum corrections of the classical Gibbs-Boltzmann probability density. Within this approach, moreover, we obtain a very simple derivation of the extended Thomas-Fermi theory. Finally, the limits of applicability, the convergence problems, and the possibility of improving or defining new semiclassical approximations are discussed.
Giornale/Rivista: PHYSICAL REVIEW A
Volume: 52 (6) Da Pagina: 4365 A: 4370
Parole chiavi: Semi-classical Approximations; Nuclear Hamiltonians; Finite Temperature; Quantum-mechanics; Potentials; Dynamics; EquationDOI: 10.1103/PhysRevA.52.4365Citazioni: 14dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-06-29Riferimenti tratti da Isi Web of Knowledge: (solo abbonati)
