1-D Schrödinger operators with δ and δ′ interactions on non-discrete sets and complex problems

This dissertation explores the spectral properties of one-dimensional Schrödinger operators with δ and δ′ interactions on non-discrete sets. We extend classical Sturm-Liouville theory to these singular perturbations and analyze the self-adjoint realizations of differential expressions involving Dira...

Full description

Autores:
Leguizamon Quinche, Edison Jair
Tipo de recurso:
Doctoral thesis
Fecha de publicación:
2024
Institución:
Universidad de los Andes
Repositorio:
Séneca: repositorio Uniandes
Idioma:
eng
OAI Identifier:
oai:repositorio.uniandes.edu.co:1992/75804
Acceso en línea:
https://hdl.handle.net/1992/75804
Palabra clave:
Spectral theory
Self-adjoint operator
Delta interactions
Self-adjoint extension
Limit point - limit circle
Matemáticas
Rights
openAccess
License
Attribution 4.0 International