|
|||||
|
|
Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators |
|
| Authors: | Artemio González-López Niky Kamran Peter J Olver |
| Institution: | (1) Department de Física Teórica II, Universidad Complutense, 28040 Madrid, Spain;(2) Department of Mathematics, McGill University, H3A 2K6 Montréal, Quebec, Canada;(3) Department of Mathematics, University of Maryland, 20742 College Park, MD, USA;(4) Present address: School of Mathematics, University of Minnesota, 55455 Minneapolis, Minnesota, USA |
| Abstract: | We completely determine necessary and sufficient conditions for the normalizability of the wave functions giving the algebraic part of the spectrum of a quasi-exactly solvable Schrödinger operator on the line. Methods from classical invariant theory are employed to provide a complete list of canonical forms for normalizable quasi-exactly solvable Hamiltonians and explicit normalizability conditions in general coordinate systems.Supported in Part by DGICYT Grant PS 89-0011Supported in Part by an NSERC GrantSupported in Part by NSF Grant DMS 92-04192 |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |