Non-Hermitian PT Symmetric Hamiltonian with Position-Dependent Masses: Associated Schrödinger Equation and Finite-Norm Solutions



Título del documento: Non-Hermitian PT Symmetric Hamiltonian with Position-Dependent Masses: Associated Schrödinger Equation and Finite-Norm Solutions
Revista: Brazilian journal of physics
Base de datos: PERIÓDICA
Número de sistema: 000385161
ISSN: 0103-9733
Autores: 1
1
Instituciones: 1Ministerio da Ciencia, Tecnologia e Inovacao, Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro. Brasil
Año:
Periodo: Feb
Volumen: 45
Número: 1
Paginación: 79-88
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental, aplicado
Resumen en inglés A one-dimensional non-Hermitian PT symmetric Hamiltonian, characterized by position-dependent masses, defines a Schrödinger equation in terms of a field (x, t). Based on an exact classical field theory, the necessity of an extra field (x, t) (which satisfies a conjugate equation and in general different is from ∗(x, t)) is shown. Simple applications are investigated by solving analytically both equations and it is shown that the effective masses proposed lead to a probability density characterized by a finite norm, typical of the physical situation that occurs with the concentration of electrons in some semiconductor heterojunctions. An extension to a three-dimensional space is also presented
Disciplinas: Física y astronomía
Palabras clave: Termodinámica y física estadística,
Ecuación de Schrodinger,
Estados localizados,
Teoría clásica de campos,
Termoestadística no extensiva
Keyword: Physics and astronomy,
Thermodynamics and statistical physics,
Schrodinger equation,
Localized states,
Classical field theory,
Non extensive thermostatistics
Texto completo: Texto completo (Ver HTML)