實(shí)用量子力學(xué)

內(nèi)容概要

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 quanturm theory and，therefore，of the basic concepts as well。I recommend the book un-reservedlv?！?/pre>


作者簡(jiǎn)介
作者:（德）費(fèi)呂蓋　


書籍目錄
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?、? 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?、? Particles with Spin?、? Many-Body Problems?、? Non-Stationary Problems?、? The Relativistic Dirac Equation?、? Radiation TheoryMathematical AppendixIndex for Volumes Ⅰ and Ⅱ





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