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

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

2006-02-16

arxiv.org/abs/quant-ph/0602135v1

Physics

Quantum Physics

Scientific paper

10.1088/0305-4470/39/20/L01

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.

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