General method to solve Hamiltonians with infinite-range interactions

M. Salerno, J. C. Eilbeck

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


We introduce a general method to block diagonalize Hamiltonians with infinite-range interactions and arbitrary lattice sites f. As a working example we consider the case of the quantum discrete self-trapping Hamiltonian on a lattice which is a complete graph. We show the effectiveness 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. © 1994 The American Physical Society.

Original languageEnglish
Pages (from-to)553-556
Number of pages4
JournalPhysical Review A
Issue number1
Publication statusPublished - 1994


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