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