Complete systems of solutions for the stationary Schrödinger equation in the plane

We consider the stationary Schrödinger equation ∆Φ(x,y)-q(x)Φ(x,y)=0, (x,y)∈Ω⊆R^2 (1) where ∆≔∂^2/(∂x^2 )+∂^2/(∂y^2 ), Ω is a simply connected domain and q(x) is a given continuous function depending only on the x variable. In this work, we study a method that allows the explicit construction of a c...

• Autor principal: Pinango Nuñez, José Isidro (author)
• Formato: bachelorThesis
• Lenguaje: eng
• Publicado: 2021
• Materias: Ecuación estacionaria de Schrödinger; Sistema completo de soluciones; Operadores de transmutación; Representación SPPS; Stationary Schrödinger equation; Complete system of solutions; Transmutation operator; SPPS representation
• Acceso en línea: http://repositorio.yachaytech.edu.ec/handle/123456789/317