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.
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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