工科量子力学学习中的常用数学工具

doi:10.16854 /j.cnki.1000-0712.190427

College Physics ›› 2020, Vol. 39 ›› Issue (8): 73-77.doi: 10.16854 /j.cnki.1000-0712.190427

Previous Articles Next Articles

Commonly using mathematical tools in the course of quantum mechanics

ZHU Han-rui1，ZHANG Ying-yue1，TAO Hui-jin1，2

1. School of Materials Science and Engineering，Central South University，Changsha，Hunan 410083，China; 2. School of Materials Science and Engineering，Central South University，Changsha，Hunan 410083，China

Received:2019-09-23 Revised:2019-12-12 Online:2020-08-20 Published:2020-09-07

Abstract

Abstract: Mathematics is an important tool for learning quantum mechanics. This paper mainly introduces the

mathematical tools that engineering students often use in the process of learning quantum mechanics，and provides

convenience for them to consult. Since this course is a basic course，this paper is mainly for the convenience of engineering

students to consult and learn quantum mechanics easier. Therefore，this article has not carried on the detailed

introduction to the mathematical knowledge involved in the book.

Key words: quantum mechanics, calculus, limit, series, function

ZHU Han-rui, ZHANG Ying-yue, TAO Hui-jin, . Commonly using mathematical tools in the course of quantum mechanics[J].College Physics, 2020, 39(8): 73-77.

[1]	Lv Xuan, Gao Ang. Numerical solution of the one-dimensional harmonic oscillator problem using gaussian basis functions [J]. College Physics, 2026, 45(5): 26-.
[2]	XIE Xia, ZHOU Xin-yi, ZOU Xing-yue, WANG Jiao, LIN Xiao-yan. Two new formulas for a class of multi-parameter 2×n Fan circuit network [J]. College Physics, 2026, 45(5): 30-.
[3]	YUANXiang1, 2, CHENXin1, 2. An educational exploration in general course of quantum mechanics [J]. College Physics, 2026, 45(3): 1-.
[4]	SUN Yifeng, ZHAO Pengfei, SUN Haoxuan, TAO Hongshuai. Solving the onedimensional infinite deep square well potential barrier problem based on the projection Greens function#br# [J]. College Physics, 2026, 45(3): 7-.
[5]	QIN Zhijie. A discussion on the applicability conditions of the two forms of chain relation [J]. College Physics, 2026, 45(3): 28-.
[6]	LUO Yue, YUAN Dandan, WANG Xingyu, HUI Chunfeng, HUANG Yue, SHU Song. Visualization study of hydrogen atom systems under relativistic conditions [J]. College Physics, 2026, 45(2): 65-.
[7]	WU Youshen. Historical evolution of quantum mechanical theoretical frameworks [J]. College Physics, 2026, 45(1): 80-.
[8]	LIU Jing1, QIN Jinfeng1, 2. Study of instructional methods in quantum parameter estimation with QuanEstimation#br# [J]. College Physics, 2025, 44(9): 69-.
[9]	CAO Zexian. Quantenmechanik：Produkt aus G-ttingen [J]. College Physics, 2025, 44(8): 1-.
[10]	WANG Huaiyu. The dimension of the Dirac δ function [J]. College Physics, 2025, 44(8): 29-.
[11]	JIN Jiasen, LI Weijia, YU Changshui. Wheeler’s delayed-choice gedanken experiment basing on the δ potential barrier scattering in one dimension [J]. College Physics, 2025, 44(7): 5-.
[12]	REN Xinru, ZHAO Chunran, ZHU Mengzheng. The light of the exclusion principle spanning a century ——Commemorating the 100th anniversary of the discovery of the exclusion principle [J]. College Physics, 2025, 44(7): 68-.
[13]	ZHENG Shen-zhou, LI Yi-mei. Convolution operations and some related applications [J]. College Physics, 2025, 44(6): 34-.
[14]	HE Zhuo-yan, GUO Qin. Solution and visualization of forced vibration of a circular membrane #br# with fixed boundary#br# [J]. College Physics, 2025, 44(5): 76-.
[15]	JIANG Chao, REN Xi-jun. Applications of regularization and renormalization theories #br# in problems related to the Dirac function potential #br# [J]. College Physics, 2025, 44(5): 82-.

Commonly using mathematical tools in the course of quantum mechanics

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 0