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A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum

Author

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  • Murgida, Gustavo
  • Castagnino, Mario

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.

Suggested Citation

  • Murgida, Gustavo & Castagnino, Mario, 2007. "A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 170-188.
    • Handle: RePEc:eee:phsmap:v:381:y:2007:i:c:p:170-188
    DOI: 10.1016/j.physa.2007.03.035
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