Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum |
Autor: | Murgida, G.; Castagnino, M. |
Filiación: | Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
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Palabras clave: | 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 |
Año: | 2007
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Volumen: | 381
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Número: | 1-2
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Página de inicio: | 170
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Página de fin: | 188
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DOI: |
http://dx.doi.org/10.1016/j.physa.2007.03.035 |
Título revista: | Physica A: Statistical Mechanics and its Applications
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Título revista abreviado: | Phys A Stat Mech Appl
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ISSN: | 03784371
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CODEN: | PHYAD
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v381_n1-2_p170_Murgida |
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Citas:
---------- APA ----------
Murgida, G. & Castagnino, M.
(2007)
. A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum. Physica A: Statistical Mechanics and its Applications, 381(1-2), 170-188.
http://dx.doi.org/10.1016/j.physa.2007.03.035---------- CHICAGO ----------
Murgida, G., Castagnino, M.
"A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum"
. Physica A: Statistical Mechanics and its Applications 381, no. 1-2
(2007) : 170-188.
http://dx.doi.org/10.1016/j.physa.2007.03.035---------- MLA ----------
Murgida, G., Castagnino, M.
"A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum"
. Physica A: Statistical Mechanics and its Applications, vol. 381, no. 1-2, 2007, pp. 170-188.
http://dx.doi.org/10.1016/j.physa.2007.03.035---------- VANCOUVER ----------
Murgida, G., Castagnino, M. A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum. Phys A Stat Mech Appl. 2007;381(1-2):170-188.
http://dx.doi.org/10.1016/j.physa.2007.03.035