Published May 26, 1994
| Version v1
Journal article
p-adic numbers and renormalization of eigenfunctions in quantum mechanics
Creators
- 1. Dipartimento di Matematica, Universita di Genova, Via L.B. Alberti 4, 16132 Genova (Italy)
- 2. Moscow Institute of Electronic Engineering, K-498, 103498, Moscow (Russian Federation)
Description
In this paper we show how p-adic analysis can be used, in some cases, to treat divergent series in quantum mechanics. We shall consider examples in which the usual theory of Schroedinger equation would give rise to an infinite for the expectation value of the energy operator; on the contrary, by using p-adic analysis, we are able to get a convergent expansion and obtain a finite rational value for the energy. ((orig.))
Additional details
Publishing Information
- Journal Title
- Physics Letters. B
- Journal Volume
- 328
- Journal Issue
- 1-2
- Journal Page Range
- p. 109-112.
- ISSN
- 0370-2693
- CODEN
- PYLBAJ
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 26002807
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; CONVERGENCE; EIGENFUNCTIONS; EXPECTATION VALUE; HAMILTONIANS; HARMONIC OSCILLATORS; QUANTUM MECHANICS; RENORMALIZATION; SCHROEDINGER EQUATION; SERIES EXPANSION
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; WAVE EQUATIONS