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Enveloping subspaces and superposition of states

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Abstract

In the space of pure states of a generic physical system, a family ℒ of subsets is singled out and used to extend the quantum-mechanical notion of “superposition” of pure states. ℒ possesses a natural lattice structure and corresponds to the lattice of closed subspaces of Quantum Mechanics.

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References

  1. Cantoni, V.: Commun. math. Phys.44, 125 (1975)

    Google Scholar 

  2. Mackey, G. W.: Mathematical foundations of quantum mechanics. New York: Benjamin 1963

    Google Scholar 

  3. Birkhof, G., von Neumann, J.: Ann. Math.37, 823 (1936)

    Google Scholar 

  4. Jauch, J. M.: Foundations of quantum mechanics. Reading: Addison-Wesley 1968

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  5. Varadarajan, V. S.: Geometry of quantum theory, Vol. 1. New York: van Norstrand 1968

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  6. Piron, C.: Found. Phys.2, 287 (1972)

    Google Scholar 

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Authors and Affiliations

  1. Politecnico di Torino, Torino, Italy

    Vittorio Cantoni

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  1. Vittorio Cantoni
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Communicated by R. Haag

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Cantoni, V. Enveloping subspaces and superposition of states. Commun.Math. Phys. 50, 241–244 (1976). https://doi.org/10.1007/BF01609404

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  • DOI: https://doi.org/10.1007/BF01609404

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