# 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

, Volume 12 (1) – Nov 30, 2011
26 pages

/lp/springer-journals/on-eigenvalues-of-the-schr-dinger-operator-with-a-complex-valued-nTuXdBeZIj
Publisher
Springer Journals
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

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