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。

The Hydrogen Atom

氢原子

Show how to set up the Schrodinger equation for the hydrogen atom.

如何为氢原子设置 Schrodinger 方程

Describe the separation of variables neccessary for solving the hydrogen Schrodinger equation.

描述为求解氢原子薛定谔方程所必需的变量分离。

What quantum numbers arise from the solution of the hydrogen Schrodinger equation?

解氢原子的薛定谔方程时会出现哪些量子数?

What can you learn from the hydrogen ground state wavefunction?

从氢原子基态波函数中你能学到什么?

What is the most probable radius for the hydrogen electron?

氢原子中电子最可能的半径是多少?

What is the probability that the hydrogen electron will be found between zero and 2 Bohr radii?

氢原子电子处于0到2倍波尔半径之间的概率是多少?

What is the expectation value of the hydrogen electron?

氢原子电子的期望值是什么?

How is the angular momentum related to the quantum numbers?

角动量与量子数有何关系?

What is the relation of the angular momentum to the magnetic moment of the electron?

角动量与电子的磁矩之间有什么关系?

Describe the Zeeman effect.

描述塞曼效应

What is the origin of the hydrogen fine structure? What information does it give us about electron spin?

氢精细结构的起源是什么?它给我们关于电子自旋的哪些信息?

Describe the selection rules which limit electronic transitions in the hydrogen atom.

描述氢原子中限制电子跃迁的选择规则


Homework set #8
第八次作业
* The hydrogen atom.

* Hydrogen Schrodinger equation

* Separation of variables in the hydrogen equation

* Quantum numbers from the hydrogen Schrodinger equation

* Hydrogen ground state wavefunction

* Most probable radius, hydrogen electron

* Probability for a given radial range

* Expectation value of radius

* Quantum angular momentum

* Electron magnetic moment

* Zeeman effect

* Hydrogen fine structure

* Electron spin

* Selection rules

* 氢原子。* 氢的薛定谔方程 * 氢方程中的分离变量 * 从氢的薛定谔方程中得到的量子数 * 氢的基态波函数 * 氢电子的最可能半径 * 某一径向范围内的概率 * 半径的期望值 * 量子角动量 * 电子磁矩 * 背景效应 * 氢的精细结构 * 电子自旋 * 选择定则
Index
索引
  HyperPhysics*****Physics 3401
HyperPhysics ***** 物理学 3401
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