We introduce a general method to block diagonalize Hamiltonians with infinite-range interactions ana 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.

GENERAL-METHOD TO SOLVE HAMILTONIANS WITH INFINITE-RANGE INTERACTIONS

SALERNO, Mario;
1994

Abstract

We introduce a general method to block diagonalize Hamiltonians with infinite-range interactions ana 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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/3018947
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