Bilingual edition: English is preserved and Chinese follows each unit. Terminology uses the confirmed v20260916 glossary; automated semantic review remains traceable.
中英双语版:英文原文完整保留,中文紧随对应单元;术语采用 v20260916 确认表,自动语义审校结果可追溯。

Special Functions

特殊函数

A variety of special functions is encountered in the solution of physical problems, particularly in the solution of differential equations.

在解决物理问题,尤其是微分方程时,会遇到多种特殊函数。
Function
函数
Applications
应用
Hermite polynomials
埃尔米特多项式
Quantum harmonic oscillator
量子谐振子
Legendre polynomials
勒让德多项式
Hydrogen Schrodinger equation
氢的薛定谔方程
Associated Legendre functions
关联勒让德函数
Hydrogen Schrodinger equation
氢的薛定谔方程
Spherical harmonics
球谐函数
Spherical potential well
球形势阱
Bessel functions
贝塞尔函数
Membrane vibration
膜振动
Spherical Bessel functions
球贝塞尔函数
Spherical potential well
球形势阱
Index
索引
 
HyperPhysics*****HyperMath*****Calculus
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