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简介
《国外物理名著系列22:实用量子力学(影印版)》主要内容：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."
目录
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
48.Components inpolarcoordinates
49.Angularmomentumand Laplacian
50.Hilbertspacetransfc．rmations
51.Commutators in Schr6dinger representation
52.Particles ofspin l
53.Commutation with a tensor
54.Quadrupole tensor．Spherical harmonics
55.Transfc．rmation of spherical harmonics
56.Construction of Hilbert space for an an~ular momentum component
57.Orthogonality of spherical harmonics
D.Potentials of Spherical Symmetry
a)Bound States
58．Angular momentum expectation values
……
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
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
48.Components inpolarcoordinates
49.Angularmomentumand Laplacian
50.Hilbertspacetransfc．rmations
51.Commutators in Schr6dinger representation
52.Particles ofspin l
53.Commutation with a tensor
54.Quadrupole tensor．Spherical harmonics
55.Transfc．rmation of spherical harmonics
56.Construction of Hilbert space for an an~ular momentum component
57.Orthogonality of spherical harmonics
D.Potentials of Spherical Symmetry
a)Bound States
58．Angular momentum expectation values
……
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
Practical quantum mechanics = 实用量子力学 /
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