A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum

A mathematical formalism that allows to deal with many problems on quantum systems with continuous evolution spectrum is presented. The usual Hilbert space is generalized to a prehilbert one T where singular states can be represented and an extended Dirac's notation can be introduced. The obtai...

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Detalles Bibliográficos
Autores principales: Murgida, G., Castagnino, M.
Formato: JOUR
Materias:
Continuous spectrum
Normalization
Van Hove's formalism
Eigenvalues and eigenfunctions
Hilbert spaces
Problem solving
Quantum theory
Spectrum analysis
Evolution spectrum
Quantum systems
Hamiltonians
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03784371_v381_n1-2_p170_Murgida
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_03784371_v381_n1-2_p170_Murgida
record_format dspace
spelling todo:paper_03784371_v381_n1-2_p170_Murgida2023-10-03T15:32:51Z A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum Murgida, G. Castagnino, M. Continuous spectrum Normalization Van Hove's formalism Eigenvalues and eigenfunctions Hilbert spaces Problem solving Quantum theory Spectrum analysis Continuous spectrum Evolution spectrum Normalization Quantum systems Van Hove's formalism Hamiltonians A mathematical formalism that allows to deal with many problems on quantum systems with continuous evolution spectrum is presented. The usual Hilbert space is generalized to a prehilbert one T where singular states can be represented and an extended Dirac's notation can be introduced. The obtained formalism contains the Van Hove one but in a more natural way. It allows to explain decoherence and other phenomena. © 2007 Elsevier B.V. All rights reserved. Fil:Murgida, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Castagnino, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03784371_v381_n1-2_p170_Murgida
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Continuous spectrum
Normalization
Van Hove's formalism
Eigenvalues and eigenfunctions
Hilbert spaces
Problem solving
Quantum theory
Spectrum analysis
Continuous spectrum
Evolution spectrum
Normalization
Quantum systems
Van Hove's formalism
Hamiltonians
spellingShingle Continuous spectrum
Normalization
Van Hove's formalism
Eigenvalues and eigenfunctions
Hilbert spaces
Problem solving
Quantum theory
Spectrum analysis
Continuous spectrum
Evolution spectrum
Normalization
Quantum systems
Van Hove's formalism
Hamiltonians
Murgida, G.
Castagnino, M.
A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum
topic_facet Continuous spectrum
Normalization
Van Hove's formalism
Eigenvalues and eigenfunctions
Hilbert spaces
Problem solving
Quantum theory
Spectrum analysis
Continuous spectrum
Evolution spectrum
Normalization
Quantum systems
Van Hove's formalism
Hamiltonians
description A mathematical formalism that allows to deal with many problems on quantum systems with continuous evolution spectrum is presented. The usual Hilbert space is generalized to a prehilbert one T where singular states can be represented and an extended Dirac's notation can be introduced. The obtained formalism contains the Van Hove one but in a more natural way. It allows to explain decoherence and other phenomena. © 2007 Elsevier B.V. All rights reserved.
format JOUR
author Murgida, G.
Castagnino, M.
author_facet Murgida, G.
Castagnino, M.
author_sort Murgida, G.
title A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum
title_short A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum
title_full A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum
title_fullStr A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum
title_full_unstemmed A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum
title_sort natural normalization for the eigenstates of a hamiltonian with continuous spectrum
url http://hdl.handle.net/20.500.12110/paper_03784371_v381_n1-2_p170_Murgida
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AT castagninom anaturalnormalizationfortheeigenstatesofahamiltonianwithcontinuousspectrum
AT murgidag naturalnormalizationfortheeigenstatesofahamiltonianwithcontinuousspectrum
AT castagninom naturalnormalizationfortheeigenstatesofahamiltonianwithcontinuousspectrum
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