A General Approach of Quasi-Exactly Solvable Schroedinger Equations with Three Known Eigenstates

A General Approach of Quasi-Exactly Solvable Schroedinger Equations with Three Known Eigenstates

We propose a general method for constructing quasi-exactly solvable potentials with three analytic eigenstates. These potentials can be real or complex functions but the spectrum is real. A comparison with other methods is also performed.

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Veröffentlicht in:arXiv.org 2002-09
Hauptverfasser: Debergh, N, Ndimubandi, J, Van den Bossche, B
Format: Artikel
Sprache:eng
Schlagworte:
Eigenvectors
Schrodinger equation
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Zusammenfassung:We propose a general method for constructing quasi-exactly solvable potentials with three analytic eigenstates. These potentials can be real or complex functions but the spectrum is real. A comparison with other methods is also performed.
ISSN:2331-8422
DOI:10.48550/arxiv.0209080