Comment on “`Striped' rectangular rigid box with Hermitian and non-Hermitian PT symmetric potentials” [J. Math. Phys. 62, 102102 (2021)]

We show that the two-dimensional quantum-mechanical model proposed by Kulkarni and Pathak [J. Math. Phys. 62, 102102 (2021)] is separable. Consequently, instead of solving a two-dimensional Schrödinger equation, it is sufficient to solve two one-dimensional eigenvalue equations, one of which is exac...

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Detalles Bibliográficos
Autor: Fernández, Francisco Marcelo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/204747
Acceso en línea:http://hdl.handle.net/11336/204747
Access Level:acceso abierto
Palabra clave:TWO-DIMENSIONAL MODEL
SEPARABLE EQUATION
TWO ONE-DIMENSIONAL PROBLEMS
EXACTLY SOLVABLE
https://purl.org/becyt/ford/1.4
https://purl.org/becyt/ford/1
Descripción
Sumario:We show that the two-dimensional quantum-mechanical model proposed by Kulkarni and Pathak [J. Math. Phys. 62, 102102 (2021)] is separable. Consequently, instead of solving a two-dimensional Schrödinger equation, it is sufficient to solve two one-dimensional eigenvalue equations, one of which is exactly solvable. The solution to the remaining equation can be given in terms of a transcendental equation.