Abstract:
Our aim in this paper is to show an example of the formalism we have developed to avoid the label-tensor-product-vector-space-formalism of quantum mechanics when dealing with indistinguishable quanta. States in this new vector space, that we call the Q-space, refer only to occupation numbers and permutation operators act as the identity operator on them, reflecting in the formalism the unobservability of permutations, a goal of quasi-set theory. © 2009 Springer Science+Business Media, LLC.
Registro:
Documento: |
Artículo
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Título: | No Labeling Quantum Mechanics of Indiscernible Particles |
Autor: | Domenech, G.; Holik, F.; Kniznik, L.; Krause, D. |
Filiación: | Instituto de Astronomía y Física del Espacio (IAFE), Casilla de Correo 67, Sucursal 28, 1428 Buenos Aires, Argentina Departamento de Filosofia, Universidade Federal de Santa Catarina, 88040-900 Florianópolis, SC, Brazil
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Palabras clave: | Fock-space; Quantum indistinguishability; Quasi-sets |
Año: | 2010
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Volumen: | 49
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Número: | 12
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Página de inicio: | 3085
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Página de fin: | 3091
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DOI: |
http://dx.doi.org/10.1007/s10773-009-0220-x |
Título revista: | International Journal of Theoretical Physics
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Título revista abreviado: | Int. J. Theor. Phys.
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ISSN: | 00207748
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v49_n12_p3085_Domenech |
Referencias:
- Aerts, D., Daubechies, I., Structure-preserving maps of a quantum mechanical propositional system (1978) Helv. Phys. Acta, 51, pp. 637-660
- Domenech, G., Holik, F., Krause, D., Quasi-spaces and the foundations of quantum mechanics (2008) Found. Phys., 38, pp. 969-994
- Domenech, G., Holik, F., Kniznik, L., (2009), Preprint; French, S., Krause, D., (2006) Identity in Physics: A Historical, Philosophical, and Formal Analysis, , London: Oxford University Press
- Krause, D., Logical Aspects of Quantum (non-)individuality, , Preprint
- Krause, D., Sant'Anna, A., Sartorelli, A., A critical study on the concept of identity in Zermelo-Fraenkel like axioms and its relationship with quantum statistics (2005) Log. Anal., 189-192, pp. 231-260
- Robertson, B., Introduction to field operators in quantum mechanics (1973) Am. J. Phys., 41, p. 678
Citas:
---------- APA ----------
Domenech, G., Holik, F., Kniznik, L. & Krause, D.
(2010)
. No Labeling Quantum Mechanics of Indiscernible Particles. International Journal of Theoretical Physics, 49(12), 3085-3091.
http://dx.doi.org/10.1007/s10773-009-0220-x---------- CHICAGO ----------
Domenech, G., Holik, F., Kniznik, L., Krause, D.
"No Labeling Quantum Mechanics of Indiscernible Particles"
. International Journal of Theoretical Physics 49, no. 12
(2010) : 3085-3091.
http://dx.doi.org/10.1007/s10773-009-0220-x---------- MLA ----------
Domenech, G., Holik, F., Kniznik, L., Krause, D.
"No Labeling Quantum Mechanics of Indiscernible Particles"
. International Journal of Theoretical Physics, vol. 49, no. 12, 2010, pp. 3085-3091.
http://dx.doi.org/10.1007/s10773-009-0220-x---------- VANCOUVER ----------
Domenech, G., Holik, F., Kniznik, L., Krause, D. No Labeling Quantum Mechanics of Indiscernible Particles. Int. J. Theor. Phys. 2010;49(12):3085-3091.
http://dx.doi.org/10.1007/s10773-009-0220-x