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.
|Number of pages||8|
|Journal||Physical Review A|
|State||Published - 1 Jan 1989|
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics