《量子力学(英文版)》阐释量子力学的诞生、波函数与薛定谔方程、一维定态问题、力学量用算符表示、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、表象变换与量子力学的矩阵形式、自旋、力学量本征值的代数解法、束缚定态微扰论、量子跃迁、散射理论、其他近似方法。为帮助读者更深入掌握有关内容,书中安排了适当的例题、练习题和思考题。每一章还选入了适量的习题,供读者选用。
List of figures
List of tables
List of definitions, principles, etc.
List of boxes
List of symbols
List of abbreviations
Introduction
Part I Basic features of quantum mechanics
1 From classical mechanics to quantum mechanics
l.1 Review of the foundations of classical mechanics
1.2 An interferometry experiment and its consequences
1.3 State as vector
1.4 Quantum probability
l.5 The historical need of a new mechanics
Summary
Problems
Further reading
2 Quantum observables and states
2.1 Basic features of quantum observables
2.2 Wave function and basic observables
2.3 Uncertainty relation
2.4 Quantum algebra and quantum logic
Summary
Problems
Further reading
3 Quantum dynamics
3.1 The Schrodinger equation
3.2 Properties of the Schrodinger equation
3.3 Schrodinger equation and Galilei transformations
3.4 One-dimensional free particle in a box
3.5 Unitary transformations
3.6 Different pictures
3.7 Time derivatives and the Ehrenfest theorem
3.8 Energy-time uncertainty relation
3.9 Towards a time operator
Summary
Problems
Further reading
4 Examples of quantum dynamics
4.1 Finite potential wells
4.2 Potential barrier
4.3 Tunneling
4.4 Harmonic oscillator
4.5 Quantum particles in simple fields
Summary
Problems
5 Density matrix
5.1 Basic formalism
5.2 Expectation values and measurement outcomes
5.3 Time evolution and density matrix
5.4 Statistical properties of quantum mechanics
5.5 Compound systems
5.6 Pure- and mixed-state representation
Summary
Problems
Further reading
Part II More advanced topics
6 Angular momentum and spin
6.1 Orbital angular momentum
6.2 Special examples
6.3 Spin
6.4 Composition of angular momenta and total angular momentum
6.5 Angular momentum and angle
Summary
Problems
Further reading
7 Identical particles
7.1 Statistics and quantum mechanics
7.2 Wave function and symmetry
7.3 Spin and statistics
7.4 Exchange interaction
7.5 Two recent applications
Summary
Problems
Further reading
8 Symmetries and conservation laws
8.1 Quantum transformations and symmetries
8.2 Continuous symmetries
8.3 Discrete symmetries
8.4 A brief introduction to group theory
Summary
Problems
Further reading
9 The measurement problem in quantum mechanics
9.1 Statement of the problem
9.2 A brief history of the problem
9.3 Schrodinger cats
9.4 Decoherence
9.5 Reversibility/irreversibility
9.6 Interaction-free measurement
9.7 Delayed-choice experiments
9.8 Quantum Zeno effect
9.9 Conditional measurements or postselection
9.10 Positive operator valued measure
9.11 Quantum non-demolition measurements
9.12 Decision and estimation theory
Summary
Problems
Further reading
Part III Matter and light
10 Perturbations and approximation methods
10.1 Stationary perturbation theory
10.2 Time-dependent perturbation theory
10.3 Adiabatic theorem
10.4 The variational method
10.5 Classical limit
10.6 Semiclassical limit and WKB approximation
10.7 Scattering theory
10.8 Path integrals
Summary
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Part Ⅱ More advanced topics
PartⅢ Matter and light
Part Ⅳ Ouantum information:state and correlations