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On Eigenvalues of the Schrödinger Operator with a Complex-Valued Polynomial Potential

On Eigenvalues of the Schrödinger Operator with a Complex-Valued Polynomial Potential We consider the eigenvalue problem with a complex-valued polynomial potential of arbitrary degree d and show that the spectral determinant of this problem is connected and irreducible. In other words, every eigenvalue can be reached from any other by analytic continuation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

On Eigenvalues of the Schrödinger Operator with a Complex-Valued Polynomial Potential

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Publisher
Springer Journals
Copyright
Copyright © 2012 by Heldermann  Verlag
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/BF03321817
Publisher site
See Article on Publisher Site

Abstract

We consider the eigenvalue problem with a complex-valued polynomial potential of arbitrary degree d and show that the spectral determinant of this problem is connected and irreducible. In other words, every eigenvalue can be reached from any other by analytic continuation.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Nov 30, 2011

References