On the spectrum of the p-adic position operator

被引：17

作者：

Albeverio, S ^{[1
]}

Cianci, R ^{[1
]}

Khrennikov, A ^{[1
]}

机构：

[1] UNIV GENOA, DIPARTIMENTO MATEMAT, GENOA, ITALY

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1997年 / 30卷 / 03期

关键词：

D O I：

10.1088/0305-4470/30/3/013

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose a physical interpretation for a p-adic picture of reality. According to this interpretation, p-adic numbers describe measurements with a finite accuracy (at the same time, real numbers describe measurements with an infinite accuracy). We consider the representation of the position operator in a p-adic Hilbert space and study the spectrum of this operator.

引用

页码：881 / 889

页数：9

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