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
Materias:
Física
Química
Ciencias Exactas
Matrix Element
Recurrence Relation
Hamiltonian Operator
Hermitian Operator
Virial Theorem
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/140106
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-140106
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Química
Ciencias Exactas
Matrix Element
Recurrence Relation
Hamiltonian Operator
Hermitian Operator
Virial Theorem
spellingShingle Física
Química
Ciencias Exactas
Matrix Element
Recurrence Relation
Hamiltonian Operator
Hermitian Operator
Virial Theorem
Fernández, Francisco Marcelo
Castro, Eduardo Alberto
Hypervirial Theorems and Exact Solutions of the Schrödinger Equation
topic_facet Física
Química
Ciencias Exactas
Matrix Element
Recurrence Relation
Hamiltonian Operator
Hermitian Operator
Virial Theorem
description 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.
format Libro
Capitulo de libro
author Fernández, Francisco Marcelo
Castro, Eduardo Alberto
author_facet Fernández, Francisco Marcelo
Castro, Eduardo Alberto
author_sort Fernández, Francisco Marcelo
title Hypervirial Theorems and Exact Solutions of the Schrödinger Equation
title_short Hypervirial Theorems and Exact Solutions of the Schrödinger Equation
title_full Hypervirial Theorems and Exact Solutions of the Schrödinger Equation
title_fullStr Hypervirial Theorems and Exact Solutions of the Schrödinger Equation
title_full_unstemmed Hypervirial Theorems and Exact Solutions of the Schrödinger Equation
title_sort hypervirial theorems and exact solutions of the schrödinger equation
publisher Springer
publishDate 1987
url http://sedici.unlp.edu.ar/handle/10915/140106
work_keys_str_mv AT fernandezfranciscomarcelo hypervirialtheoremsandexactsolutionsoftheschrodingerequation
AT castroeduardoalberto hypervirialtheoremsandexactsolutionsoftheschrodingerequation
bdutipo_str Repositorios
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