N-DIMENSIONAL HARMONIC-OSCILLATOR YIELDS MONOTONIC SERIES FOR THE MATHEMATICAL CONSTANT-PI

被引：6

作者：

LYNCH, R ^{[1
]}

MAVROMATIS, HA ^{[1
]}

机构：

[1] KING FAHD UNIV PETR & MINERALS,DEPT PHYS,DHAHRAN 31261,SAUDI ARABIA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1990年 / 30卷 / 02期

关键词：

N-dimensional harmonic oscillator; Series for π;

D O I：

10.1016/0377-0427(90)90021-Q

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, Mavromatis (1990) has shown that the usual quantum mechanical ideas of matrix elements, expansion in complete sets, and the like, coupled to the three-dimensional harmonic oscillator problem, lead to an infinite set of series expansions for the mathematical constant π. In this paper his results are extended by considering a harmonic oscillator in a general space of N dimensions. It is found that in each odd dimension one obtains series for π, while in each even dimension, series for 1/π. © 1990.

引用

页码：127 / 137

页数：11

共 36 条

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