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Quantum mechanics in a cut Fock space

2004/07/09 by Maciej Trzetrzelewski
Physics and Astronomy · #hep-th

paper · pdf

published as Acta Phys.Polon. B35 (2004) 2393-2416 · 19 pages, 6 figures

arxiv created 2004/07/09 · arxiv updated 2009/12/01

Abstract

A recently introduced numerical approach to quantum systems is analyzed. The basis of a Fock space is restricted and represented in an algebraic program. Convergence with increasing size of basis is proved and the difference between discrete and continuous spectrum is stressed. In particular a new scaling low for nonlocalized states is obtained. Exact solutions for several cases as well as general properties of the method are given.

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