EXAMPLES OF QUANTUM INTEGRALS

被引：2

作者：

Gudder, Stan ^{[1
]}

机构：

[1] Univ Denver, Dept Math, Denver, CO 80208 USA

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2010年 / 66卷 / 01期

关键词：

quantum measures; quantum integrals; quantum histories;

D O I：

10.1016/S0034-4877(10)00021-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We first consider a method of centering and a change of variable formula for a quantum integral. We then present three types of quantum integrals. The first considers the expectation of the number of heads in n flips of a "quantum coin". The next computes quantum integrals for destructive pairs examples. The last computes quantum integrals for a (Lebesgue)(2) quantum measure. For this last type we prove some quantum counterparts of the fundamental theorem of calculus.

引用

页码：21 / 41

页数：21

共 10 条

[1]

Ghazi-Tabatabai Y., 2009, ARXIVQUANTPH09060294

[2]

GUDDER S, MATH SLOVAC IN PRESS

[3]

GUDDER S, AM MATH MON IN PRESS

[4] Quantum measure and integration theory [J].