A natural normalization for the eigenstates of a Hamiltonian with continuous spectrum
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 obtai...
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Autores principales: | , |
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2007
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Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v381_n1-2_p170_Murgida http://hdl.handle.net/20.500.12110/paper_03784371_v381_n1-2_p170_Murgida |
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Sumario: | 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. © 2007 Elsevier B.V. All rights reserved. |
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