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Abstract:

In this work we analyze the convenience of nuclear barreled b*-algebras as a better mathematical framework for the formulation of quantum principles than the usual algebraic formalism in terms of C*-algebras. Unbounded operators on Hilbert spaces have an abstract counterpart in our approach. The main results of the C*-algebra theory remain valid. We demonstrate an extremal decomposition theorem, an adequate functional representation theorem, and an extension of the classical GNS theorem.

Registro:

Documento: Artículo
Título:The formulation of quantum mechanics in terms of nuclear algebras
Autor:Iguri, S.; Castagnino, M.
Filiación:Departamento de Física, FCEyN, Universidad de Buenos Aires, (1428) Buenos Aires, Argentina
Inst. de Astronomia y Fisica del E., (1428) Buenos Aires, Argentina
Año:1999
Volumen:38
Número:1
Página de inicio:143
Página de fin:164
DOI: http://dx.doi.org/10.1023/A:1026685224464
Título revista:International Journal of Theoretical Physics
Título revista abreviado:Int. J. Theor. Phys.
ISSN:00207748
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207748_v38_n1_p143_Iguri

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Citas:

---------- APA ----------
Iguri, S. & Castagnino, M. (1999) . The formulation of quantum mechanics in terms of nuclear algebras. International Journal of Theoretical Physics, 38(1), 143-164.
http://dx.doi.org/10.1023/A:1026685224464
---------- CHICAGO ----------
Iguri, S., Castagnino, M. "The formulation of quantum mechanics in terms of nuclear algebras" . International Journal of Theoretical Physics 38, no. 1 (1999) : 143-164.
http://dx.doi.org/10.1023/A:1026685224464
---------- MLA ----------
Iguri, S., Castagnino, M. "The formulation of quantum mechanics in terms of nuclear algebras" . International Journal of Theoretical Physics, vol. 38, no. 1, 1999, pp. 143-164.
http://dx.doi.org/10.1023/A:1026685224464
---------- VANCOUVER ----------
Iguri, S., Castagnino, M. The formulation of quantum mechanics in terms of nuclear algebras. Int. J. Theor. Phys. 1999;38(1):143-164.
http://dx.doi.org/10.1023/A:1026685224464