Semiclassical structure of Hamiltonians

Journal Article · Thu Jun 15 00:00:00 EDT 1989 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.39.6507· OSTI ID:6136432

Feingold, M; Leitner, D M; Piro, O

The structure of few-body Hamiltonian matrices is studied in thesemiclassical regime. Given(/ital A/cflx ///sub 1/(/bold q/cflx //,/bold p/cflx //),/ital A/cflx ///sub 2/(/bold q/cflx //,/bold p/cflx //)), a pair of operators,it can be shown that, underquite general conditions, /ital A/cflx ///sub 2/ takes the form of a banded matrixin the ordered eigenrepresentation of /ital A/cflx ///sub 1/. Moreover, thebandwidth depends only on /h bar/ and certain generalized microcanonicalaverages. In particular, if /ital H/=/ital H//sub 0/+epsilonV, this implies that theperturbed Hamiltonian is banded in the appropriately ordered unperturbed basis.

• Research Organization: The James Franck Institute, The University of Chicago, Chicago, Illinois 60637(US); Lawrence Berkeley Laboratory (MS 70A-3307) and Department of Physics, University of California, Berkeley, California 94720; The James Franck Institute, The University of Chicago, Chicago, Illinois 60637; Department of Chemistry, The University of Chicago, Chicago, Illinois 60637; The James Franck Institute, The University of Chicago, Chicago, Illinois 60637; Physics Department, Brookhaven National Laboratory, Building 510A,
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 6136432
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 39:12; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DENSITY MATRIX
EXPECTATION VALUE
HAMILTONIANS
MATHEMATICAL OPERATORS
MATRICES
MATRIX ELEMENTS
MECHANICS
QUANTUM MECHANICS
QUANTUM OPERATORS
SEMICLASSICAL APPROXIMATION