摘要
在一维无限深方势阱的解析解的基础上,利用波函数的归一化常数及能量平均值的两种不同算法的等价性,导出了∑∞n=11n2、∑∞n=11n4等24个无穷级数的求和公式.
On the basis of the analytical solution in an infinite square potential well of one dimension, this paper deduces 24 summation formulas of infinite series, such as ∑n=1^∞ 1/n^2、∑n=1^∞ 1/n^4 , etc. are deduced. This is constructed by using the equivalence of the two different methods in calculating the normalization constant of wave function and the mean value of energy.
出处
《大学物理》
北大核心
2005年第8期5-8,共4页
College Physics
基金
国家自然科学基金资助项目(10274015)
关键词
无限深方势阱
归一化常数
能量平均值
无穷级数
求和公式
infinite square potential well
normalization constant
the mean value of energy
infinite series
summation formulas
