0602135v1

related topics
{state, algorithm, problem}
{energy, state, states}
{equation, function, exp}
{operator, operators, space}

On the Absence of Spurious Eigenstates in an Iterative Algorithm Proposed By Waxman

R. A. Andrew, H. G. Miller, A. R. Plastino

abstract: We discuss a remarkable property of an iterative algorithm for eigenvalue problems recently advanced by Waxman that constitutes a clear advantage over other iterative procedures. In quantum mechanics, as well as in other fields, it is often necessary to deal with operators exhibiting both a continuum and a discrete spectrum. For this kind of operators, the problem of identifying spurious eigenpairs which appear in iterative algorithms like the Lanczos algorithm does not occur in the algorithm proposed by Waxman.

oai_identifier:
oai:arXiv.org:quant-ph/0602135
categories:
quant-ph math-ph math.MP
doi:
10.1088/0305-4470/39/20/L01
arxiv_id:
quant-ph/0602135
created:
2006-02-16

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