GENERAL-METHOD TO SOLVE HAMILTONIANS WITH INFINITE-RANGE INTERACTIONS

Authors
SALERNO M EILBECK JC
Citation
M. Salerno et Jc. Eilbeck, GENERAL-METHOD TO SOLVE HAMILTONIANS WITH INFINITE-RANGE INTERACTIONS, Physical review. A, 50(1), 1994, pp. 553-556
Citations number
8
Categorie Soggetti
Physics
Journal title
Physical review. A → ACNP
ISSN journal
10502947
Volume
50
Issue
1
Year of publication
1994
Pages
553 - 556
Database
ISI
SICI code
1050-2947(1994)50:1<553:GTSHWI>2.0.ZU;2-2
Abstract
We introduce a general method to block diagonalize Hamiltonians with i nfinite-range interactions ana arbitrary lattice sites f. As a working example we consider the case of the quantum discrete self-trapping Ha miltonian on a lattice which is a complete graph. We show the effectiv eness of our method by computing the blocks into which the Hamiltonian decomposes for a finite number of quanta and for an arbitrary number f of lattice sites.