|
Título:
|
Quasi-exact solvability in a general polynomial setting
|
|
Autores:
|
Gómez-Ullate Otaiza, David ;
Kamran, Niky ;
Milson, Robert
|
|
Tipo de documento:
|
texto impreso
|
|
Editorial:
|
IOP Publishing, 2007-10
|
|
Dimensiones:
|
application/pdf
|
|
Nota general:
|
info:eu-repo/semantics/openAccess
|
|
Idiomas:
|
|
|
Palabras clave:
|
Estado = Publicado
,
Materia = Ciencias: Física: Física-Modelos matemáticos
,
Materia = Ciencias: Física: Física matemática
,
Tipo = Artículo
|
|
Resumen:
|
Our goal in this paper is to extend the theory of quasi-exactly solvable Schrodinger operators beyond the Lie-algebraic class. Let P-n be the space of nth degree polynomials in one variable. We first analyze exceptional polynomial subspaces M subset of P-n, which are those proper subspaces of Pn invariant under second-order differential operators which do not preserve Pn. We characterize the only possible exceptional subspaces of codimension one and we describe the space of second-order differential operators that leave these subspaces invariant. We then use equivalence under changes of variable and gauge transformations to achieve a complete classification of these new, non-Lie algebraic Schrodinger operators. As an example, we discuss a finite gap elliptic potential which does not belong to the Treibich-Verdier class.
|
|
En línea:
|
https://eprints.ucm.es/id/eprint/30841/1/gomez-ullate17preprint.pdf
|
