Hypervirial Theorems and Exact Solutions of the Schrödinger Equation

According to the postulates of quantum mechanics [1–5] the state of the system ψ(0) at t = 0 is related to the state of the system ψ (t) at any other time t through: ψ(t)=U(t)ψ(0) where U(t) Is an evolution operator. The reader interested In a rigorous mathematical treatment of the evolution operato...

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Detalles Bibliográficos
Autores principales: Fernández, Francisco Marcelo, Castro, Eduardo Alberto
Formato: Libro Capitulo de libro
Lenguaje:Inglés
Publicado: Springer 1987
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/140106
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Sumario:According to the postulates of quantum mechanics [1–5] the state of the system ψ(0) at t = 0 is related to the state of the system ψ (t) at any other time t through: ψ(t)=U(t)ψ(0) where U(t) Is an evolution operator. The reader interested In a rigorous mathematical treatment of the evolution operators and their properties is referred to Refs. 4 and 5. A comprehensive summary is given in Apendix I. It immediately follows from the properties of U(t) that ψ(0)=U+(t)ψ(t) where U† is the adjoint of U.