P-ADIC NUMBERS AND RENORMALIZATION OF EIGENFUNCTIONS IN QUANTUM-MECHANICS

Authors
CIANCI R KHRENNIKOV A
Citation
R. Cianci et A. Khrennikov, P-ADIC NUMBERS AND RENORMALIZATION OF EIGENFUNCTIONS IN QUANTUM-MECHANICS, Physics letters. Section B, 328(1-2), 1994, pp. 109-112
Citations number
14
Categorie Soggetti
Physics
Journal title
Physics letters. Section B → ACNP
ISSN journal
03702693
Volume
328
Issue
1-2
Year of publication
1994
Pages
109 - 112
Database
ISI
SICI code
0370-2693(1994)328:1-2<109:PNAROE>2.0.ZU;2-H
Abstract
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 exam ples in which the usual theory of Schrodinger equation would give rise to an infinite for the expectation value of die energy operator, on t he contrary, by using p-adic analysis, we are able to get a convergent expansion and obtain a finite rational value for the energy.