Journal article
QUANTUM MECHANICS WITH p-ADIC NUMBERS
International journal of modern physics. A, Particles and fields, gravitation, cosmology, Vol.4(19), pp.5133-5147
11/20/1989
DOI: 10.1142/S0217751X8900217X
Abstract
We discuss unitary realizations of the Heisenberg group and the linear canonical transformations over a complex Hilbert space but with dynamical variables on a p-adic field Qp. For all p, an appropriate choice of phase turns the realization of the linear canonical transformation into a representation up to a sign of SL (2, Qp). We give the spectra of the subgroups corresponding to the free particle and the harmonic oscillator. We discuss briefly the possibility of an adelic interpretation.
Details
- Title: Subtitle
- QUANTUM MECHANICS WITH p-ADIC NUMBERS
- Creators
- YANNICK Meurice - Departamento de Física, Centro de Investigación y Estudios Avanzados del I.P.N., Apartado Postal 14-740, Mexico 07000, D.F., Mexico
- Resource Type
- Journal article
- Publication Details
- International journal of modern physics. A, Particles and fields, gravitation, cosmology, Vol.4(19), pp.5133-5147
- DOI
- 10.1142/S0217751X8900217X
- ISSN
- 0217-751X
- eISSN
- 1793-656X
- Language
- English
- Date published
- 11/20/1989
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984199790102771
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