物理学中常用的高斯与类高斯型积分

王蒙，陶俊琦，程剑剑，郑华

WANG Meng，TAO Jun-qi，CHENG Jian-jian，ZHENG Hua

School of Physics & Information Technology，Shaanxi Normal University，Xi’an，Shaanxi 710119，China

Received:2020-06-23 Revised:2021-02-14 Online:2021-05-20 Published:2021-05-17

摘要： 本文展示了基于大学数学基础对不同积分限的高斯与类高斯型积分的求解方法，并列举了高斯与类高斯型积分在“热力学与统计物理”、“光学”、“量子力学”、“量子光学”等物理学科中的若干应用实例.

关键词: 高斯分布, 高斯型积分, Γ 函数

Abstract: In this paper，we show how to calculate the different type Gaussian and Gaussian-like

integrals with college-level mathematics. We also discuss the applications of the Gaussian and

Gaussian-like integrals in Thermo- dynamics and Statistical Physics，Quantum Mechanics，Optics and

Quantum Optics.

Key words: Gaussian distribution, Gaussian integral, Gamma function

王蒙, 陶俊琦, 程剑剑, 郑华. 物理学中常用的高斯与类高斯型积分[J]. 大学物理, 2021, 40(5): 13-.

WANG Meng, TAO Jun-qi, CHENG Jian-jian, ZHENG Hua. Gaussian and Gaussian-like integrals in physics[J]. College Physics, 2021, 40(5): 13-.

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