本书是“国外物理名著系列”之一，全书共分7个章节，主要对实用量子力学的基础知识作了介绍。该书强调了“前沿”和“热点”，并根据国内物理学研究发展的实际情况，选择了能够体现相关学科最新进展，对有关方向的科研人员和研究生有着重要的参考价值。

From the reviews: "Anyone who has taught a course of quantum mechanics knows the difficulty of providing practical examples,which are within the mathematical competence of the students and can be completed in a reasonable time. In this book will be found 219 problems, together with their solutions, which will greatly extend the repertoire.(...) The first volume deals exclusively with one-body problems without spin.(...) In the second volume the problems cover a wider range and include illustrations of the introduction of spin, the interactions between two and three particles, quantum statistics and the Dirac relativistic equation with shorter sections on non-stationary problems and radiation theory.(...)" (Nature, Sept. 10.1971) "The student who can master these problems will have a good grasp of the practical applications of quanturn theory and, therefore, of the basic concepts as well. I recommend the book un-reservedlv."

Contents Volume Ⅰ

Ⅰ. General Concepts

 1. Law of probability conservation

 2. Variational principle of Schrodinger

 3. Classical mechanics for space averages

 4. Classical laws for angular motion

 5. Energy conservation law

 6. Hermitian conjugate

 7. Construction of an hermitian operator

 8. Derivatives of an operator

 9. Time rate of an expectation value

 10. Schrodinger and Heisenberg representations

 11. Time dependent hamiltonian

 12. Repeated measurement

 13. Curvilinear coordinates

 14. Momentum space wave functions

 15. Momentum space: Periodic and aperiodic wave functions

Ⅱ. One-Body Problems without Spin

 A. One-Dimensional Problems

16. Force-free case: Basic solutions

17. Force-free case : Wave packet

18. Standing wave

19. Opaque division wall

20. Opaque wall described by Dirac σ function

21. Scattering at a Dirac σ function wall

22. Scattering at a symmetric potential barrier

23. Reflection at a rectangular barrier

24. Inversion of reflection

25. Rectangular potential hole

26. Rectangular potential hole between two walls

27. Virtual levels

28. Periodic potential

29. Dirac comb

30. Harmonic oscillator

31. Oscillator in Hilbert space

32. Oscillator eigenfunctions constructed by Hilbert space operators

33. Harmonic oscillator in matrix notation

34. Momentum space wave functions of oscillator

35. Anharmonic oscillator

36. Approximate wave functions

37. Potential step

38. Poschl-Teller potential hole

39. Potential hole of modified Poschl-Teller type

40. Free fall of a body over earth's surface

41. Accelerating electrical field

 B. Problems of Two or Three Degrees of Freedom without Spherical Symmetry

42. Circular oscillator

43. Stark effect of a two-dimensional rotator

44. Ionized hydrogen molecule

45. Oblique incidence of a plane wave

46. Symmetrical top

 C. The Angular Momentum

47. Infinitesimal rotation

……

Contents Volume Ⅱ

Ⅲ. Particles with Spin

Ⅳ. Many-Body Problems

Ⅴ. Non-Stationary Problems

Ⅵ. The Relativistic Dirac Equation

Ⅶ. Radiation Theory

Mathematical Appendix

Index for Volumes Ⅰ and Ⅱ