Semiclassical structure of Hamiltonians

Mario Feingold; David M. Leitner; Oreste Piro

doi:10.1103/PhysRevA.39.6507

Semiclassical structure of Hamiltonians

Mario Feingold, David M. Leitner, Oreste Piro

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Abstract

The structure of few-body Hamiltonian matrices is studied in the semiclassical regime. Given (A^1(q^,p^),A^2 (q^,p^)), a pair of operators, it can be shown that, under quite general conditions, A^2 takes the form of a banded matrix in the ordered eigenrepresentation of A^1. Moreover, the bandwidth depends only on Latin small letter h with stroke and certain generalized microcanonical averages. In particular, if H=H0+>V, this implies that the perturbed Hamiltonian is banded in the appropriately ordered unperturbed basis.

Original language	English
Pages (from-to)	6507-6514
Number of pages	8
Journal	Physical Review A
Volume	39
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevA.39.6507
State	Published - 1 Jan 1989
Externally published	Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.39.6507

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Semiclassical structure of Hamiltonians

Abstract

ASJC Scopus subject areas

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