本书是在作者长期的科学研究和多年执教中，吸取美国大学教学特点，结合中国高校教学改革的实际情况编著的。内容适合读者由浅入深的学习，对量子力学的抽象理论，通过理论阐述和具体事例对照，更易于理解和掌握。讲授基本知识的同时，本书也介绍了科学研究的前沿知识，使读者深入了解目前量子力学理论的发展状况。本书适合物理专业本科生及研究生学习使用，也可做为科研人员参考使用。

Contents
Preface
Ⅰ.Brief review of historical development
1.Black body radiation
2.Photoelectric effect
3.Specific heat of solids
4.Compton effect
Problems
Ⅱ.Uncertainty and complementarily
1.Einstein relations and Bohr complimentarily principle
2.Wave-particle duality and quantum behavior
3.De Broglie relation and Heisenberg uncertainty relation
4.Further remarks on the uncertainty principle
Problems
Ⅲ.The Schrodinger wave equation
1.Postulates of quantum mechanics
2.The Schrodinger equation for free particles
3.Probability distributions
4.Operators and expectation values
5.Motion of a free wave packet
6.Schrodinger equation for a particle in external fields
7.Schrodinger equation for a system of interacting particles
Problems
Ⅳ.Heisenberg equation of motion and commutators
1.Heisenberg equation of motion
2.Commutation relations
Problems
Ⅴ.Symmetry properties and conservation laws
1.Uniformity of time
2.Uniformity of space
3.Isotropy of space
4.Discrete transformation
5.Reduction of the two-body problem
Problems
Ⅵ.Eigen functions and Eigen values
1.Stationary states
2.Spectrum of the Hamiltonian
3.Dirac's δ-function
4.Orthonormality and completeness
5.Density of states
6.Linear vector space
7.Simultaneous Eigen functions and compatible observables
8.Probability amplitudes
Problems
Ⅶ.The classical limit and WKB method
1.Ehrenfest theorem
2.Classical limit of Schrodinger equation
3.The semi-classical approximation for stationary states
4.The quantization rule of Bohr and Sommerfield
Problems
Ⅷ.Illustrative examples in one dimension
1.Square well potential
2.Scattering from the square well—resonances and virtual states
3.Periodic potential——Koenig-Penney model
4.The d function potential
5.Linear harmonic oscillator
Problems
Ⅸ.Illustrative examples in three dimensional space
1.The wave equation in spherical coordinates
2.Symmetry properties of the central field problem
3.Angular momentum eigenstates
4.Free particle motion with a definite I
5.Isotropic square well
6.Hydrogen atom
7.Degeneracy of hydrogen energy levels
8.Electron in magnetic fields——a cylindrical field problem
9.Examples in the confined and low-dimensional space
Problems
Ⅹ.Angular momentum
1.Matrix representation of angular momentum operators
2.Spin eigenvectors
3.Coupling of two angular momentum vectors
4.Rotation matrices
5.Arbitrary rotation of a rigid body
Problems
XI.Unitary transformation
1.States and operators
2.Unitary operators and unitary transformations
3.Observables in different representations
4.Schrodinger, Heisenberg and interaction pictures
5.The interaction picture
6.Pure and mixed states
Problems
Ⅻ.Approximation methods
1.Variation method
2.Perturbation theory for non-degenerate stationary states
3.Validity of the perturbation method
4.Perturbation theory for degenerate states
5.Fine structure of hydrogen atomic spectra
6.Atoms in external magnetic fields
Problems
XIII.Many-electron systems
1.Indistinguishability and Pauii principle
2.Symmetrization and anti-symmetrization of wave functions
3.Ground state of helium atom
4.Excited states of helium atom
5.Slater determinant for many-electronatoms
6.Hartree-Fock method
7.Statistical model of Fermi-Thomas
Problems
XIV.Theory of time-dependent perturbation
1.Time-dependent perturbation
2.Transition probability per unit time
3.Adiabatic and sudden approximation
4.Induced emission, absorption and spontaneous emission
5.Multipole radiation and selection rules
6.Lifetime and width of excited levels
7.Photoelectric effect
8.Magnetic resonance
9.Oscillating strength
Problems
XV.Theory of scattering
1.General theory of elastic scattering
2.Green function for a free particle
3.The Born ap