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

Gustavo Murgida and Mario Castagnino

Physica A: Statistical Mechanics and its Applications, 2007, vol. 381, issue C, 170-188

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.

Keywords: Van Hove's formalism; Normalization; Continuous spectrum (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:381:y:2007:i:c:p:170-188

DOI: 10.1016/j.physa.2007.03.035

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