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

被引：12
|
作者：
CIANCI, R [1 ]
KHRENNIKOV, A [1 ]
机构：
[1] MOSCOW ELECTR ENGN COMMUN INST, MOSCOW 103498, RUSSIA
来源：
PHYSICS LETTERS B | 1994年 / 328卷 / 1-2期
关键词：
D O I：
10.1016/0370-2693(94)90436-7
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
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 Schrodinger equation would give rise to an infinite for the expectation value of die 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.
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页码：109 / 112
页数：4
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