- QM01 Blackbody Radiation
- QM02 Rayleigh-Jeans Formula
- QM03 Light Quantum Planck—Einstein Relation
- QM05 De Broglie Wave
- QM04 Compton Effect and Bohr‘s Quantum Theory
- QM06 Wave-particle Duality
- QM07 Probability Interpretation
- QM08Principle of Superposition
- QM09 Schr?dinger Equation
- QM10 Infinite Square Well
- QM11 Finite Square Well
- QM12 Harmonic Oscillator
- QM13 Hermite Polynomial
- QM14 General Properties of 1D S-equation
- QM15 Scattering from a Square Potential Barrier
- QM16 Landau Fall
- QM17 Hydrogen Atom
- QM18 Hydrogen Wave Function
- QM19 Classical Limit of Schr?dinger Equantion
- QM20 The Expectation Value of Observables
- QM21 Operator in Hilbert Space
- QM22 Eigenvalue and Eigenfunction
- QM23 Orthogonality and Completeness
- QM24 Box Normalization
- QM25 Measurement
- QM26 Degenerate and CSCO
- QM27 Uncertainty Principle
- QM28 Conserved Quantity)
- QM29 Parity Operator
- QM30 Selection Rule
- QM31 Representation Theory
- QM32 Secular Equation
- QM33 Change of Representation
- QM34 Dirac Notation
- QM35 Particle Number Representation
- QM36 Approximate Method
- QM37 Nondegenerate Perturbation Theory
- QM38 Hellman-Feynman Theorem
- QM39 Degenerate Perturbation Theory
- QM40 Variational Principle
- QM41 Virial Theorem
- QM42 Time-Dependent Perturbation Theory
- QM43 Fermi‘s Golden Rule
- QM44 Emission and Absorption of Radiation
- QM45 Selection Rule
- QN46 Spin
- QM47 Pauli Matrix
- QMI48 Gauge Transformation
- QM49 Landau Level
- QM50 Debate about EPR Paradox
- QM51 Debate about Schr?dinger‘s Cat
- QM52 Addition of Momenta
- QM53 Clebsch—Gordan Coefficients
- QM54 Zeeman Effect
- QM55 Scattering
- QM56 Partial WaveAnalysis
- QM57 Green Function
- QM58 The Born Approximation
- QM59 Bosons and Fermions
- QMI60 Spin Triplet State and Spin Singlet State
- QM61 Identical Particles Scattering
- QM62 Helium
- QM63 Review
主要内容包括量子力学的建立、波函数与Schrodinger方程、一维定态问题、力学量用算符表达与表象变换、力学量随时间的演化与对称性、中心力场、粒子在电磁场中的运动、自旋、力学量本征值问题的代数解法、定态微扰论、量子跃迁、多粒子体系的近似处理方法、散射理论。每章均附有习题。书后有有关的数学附录。
This course is provided for undergraduate students who have the knowledge of atomic physics and are available at mathematical methods such as linear algebra, partial differential equations and special functions.
Quantum Mechanics is one of the fundamental building-blocks of Physics. It affects profoundly the way we think about the universe and is the basis for much of condensed-matter, nuclear and statistical physics. It also has a strong influence on technological developments, for instance in optical and electronic devices. It is also hoped to develop "spintronics".
第1章 量子力学的诞生
1.1 经典物理学碰到了哪些严重困难?
1.2 Planck-Einstein的光量子论
1.3 Bohr的量子论
1.4 de Broglie的物质波
1.5 量子力学的建立
习题
第2章 波函数与Schrodinger方程
2.1 波函数的统计诠释
2.2 态叠加原理
2.3 Schrodinger方程
习题
第3章 一维定态问题
3.1 一维定态的一般性质
3.2 方势阱
3.3 一维散射问题
3.4 一维谐振子
3.5 δ势
3.6 束缚能级与散射波幅极点的关系
3.7 线性势
3.8 周期场
3.9 动量表象
习题
第4章 力学量用算符表达与表象变换
4.1 算符的一般运算规则
4.2 Hermite算符的本征值与本征函数
4.3 共同本征函数
4.4 连续谱本征函数的"归一化"
4.5 量子力学的矩阵形式及表象变换
4.6 Dirac符号
附录
习题
第5章 力学量随时间的演化与对称性
5.1 力学量随时间的演化
5.2 波包的运动,Ehrenfest定理
5.3 Schrodinger, 表象与Heisenberg表象
5.4 守恒量与对称性的关系的初步分析
5.5 全同粒子系与波函数的交换对称性
习题
第6章 中心力场
6.1 中心力场中粒子运动的一般性质
6.2 球方势阱
6.3 三维各向同性谐振子
6.4 氢原子
6.5 Hellmann-Feynman定理及其在中心力场问题中的应用
6.6 二维氢原子与各向同性谐振子,二维与三维中心力场的关系
6.7 一维氢原子
习题
第7章 粒子在电磁场中的运动
7.1 电磁场中荷电粒子的Schrodinger方程,两类动量
7.2 正常Zeeman效应
7.3 Landau能级
7.4 均匀磁场中各向同性荷电谐振子的壳结构
7.5 圆环上荷电粒子的能谱与磁通量
7.6 超导现象