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实用量子力学
  • 书号：9787030236265
    作者：S.Flugge
  • 外文书名：Practical Quantum Mechanics
  • 装帧：精装
    开本：B5
  • 页数：640
    字数：784000
    语种：英文
  • 出版社：科学出版社
    出版时间：2009-01
  • 所属分类：法学
  • 定价： ￥99.00元
    售价： ￥78.21元
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From the reviews:“Anyone who has taught a course ofqnatum mechanics knows the difficulty of providing ptaehcalexamples 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 widerrange and include illustrations of the introduction of spin,the interactions between two and thee particles，quantum statisticsand 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 quantum theoy and，therefore，of the basic concepts as well.I recommendthe book un-reservedly.”
From the reviews:“Anyone who has taught a course ofqnatum mechanics knows the difficulty of providing ptaehcalexamples 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 widerrange and include illustrations of the introduction of spin,the interactions between two and thee particles，quantum statisticsand 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 quantum theoy and，therefore，of the basic concepts as well.I recommendthe book un-reservedly.”
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目录

  • Ⅰ. General Concepts
    1. Law of probability conservation
    2. Variational principle of Schrödinger
    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. Schrödinger 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 δ function
    21. Scattering at a Dirac δ 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. Pöschl-Teller potential hole
    39. Potential hole of modified Pöschl-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 in polar coordinates
    49. Angular momentum and Laplacian
    50. Hilbert space transformations
    51. Commutators in Schrödinger representation
    52. Particles of spin 1
    53. Commutation with a tensor
    54. Quadrupole tensor. Spherical harmonics
    55. Transformation of spherical harmonics
    56. Construction of Hilbert space for an angular momentum component
    57. Orthogonality of spherical harmonics
    D. Potentials of Spherical Symmetry
    a) Bound States
    58. Angular momentum expectation values
    59. Construction of radial momentum operator
    60. Solutions neighbouring eigenfunctions
    61. Quadrupole moment
    62. Particle enclosed in a sphere
    63. Square well of finite depth
    64. Wood-Saxon potential
    65. Spherical oscillator
    66. Degeneracy of the spherical oscillator
    67. Kepler problem
    68. Hulth6n potential
    69. Kratzer's molecular potential
    70. Morse potential
    71. Rotation correction of Morse formula
    72. Yukawa potential hole
    73. Isotope shift in x-rays
    74. Muonic atom ground state
    75. Central-force model of deuteron
    76. Momentum space wave functions for central force potentials
    77. Momentum space integral equation for central force potentials
    78. Momentum space wave functions for hydrogen
    79. Stark effect of a three-dimensional rotator
    b) Problems of Elastic Scattering
    80. Interference of incident and scattered waves
    81. Partial wave expansion of plane wave
    82. Partial wave expansion of scattering amplitude
    83. Scattering at low energies
    84. Scattering by a constant repulsive potential
    85. Anomalous scattering
    86. Scattering resonances
    87. Contribution of higher angular momenta
    88. Shape-independent approximation
    89. Rectangular hole: Low-energy scattering
    90. Low-energy scattering and bound state
    91. Deuteron potential with and without hard core
    92. Low-energy cross section with and without hard core
    93. Low-energy scattering by a modified Pöschl-Teller potential hole
    94. Radial integral equation
    95. Variational principle of Schwinger
    96. Successive approximations to partial-wave phase shift
    97. Calogero's equation
    98. Linearization of Calogero's equation
    99. Scattering length for a negative-power potential
    100. Second approximation to Calogero equation
    101. Square-well potential: Scattering length
    102. Scattering length for a Yukawa potential
    103. Improvement of convergence in a spherical harmonics series
    104. Collision-parameter integral
    105. Born scattering: Successive approximation steps
    106. Scattering by a Yukawa potential
    107. Scattering by an exponential potential
    108. Born scattering by a charge distribution of spherical symmetry
    109. Hard sphere: High energy scattering
    110. Rutherford scattering formula
    111. Partial wave expansion for the Coulomb field
    112. Anomalous scattering
    113. Sommerfeld-Watson transform
    114. Regge pole
    E. The Wentzel-Kramers-Brillouin (WKB) Approximation
    115. Eikonal expansion
    116. Radial WKB solutions
    117. WKB boundary condition of Langer
    118. Oscillator according to WKB approach
    119. WKB eigenvalues in a homogeneous field
    120. Kepler problem in WKB approach
    121. WKB phases in the force-free case
    122. Calculation of WKB phases
    123. Coulomb phases by WKB method
    124. Quasipotential
    F. The Magnetic Field
    125. Introduction of a magnetic field
    126. Current in presence of a magnetic field
    127. Normal Zeeman effect
    128. Paramagnetic and diamagnetic susceptibilities without spin
    Ⅲ. Particles with Spin
    A. One-Body Problems
    129. Construction of Pauli matrices
    130. Eigenstates of Pauli matrices
    131. Spin algebra
    132. Spinor transformation properties
    133. Spin electron in a central field
    134. Quadrupole moment of a spin state
    135. Expectation values of magnetic moments
    136. Fine structure
    137. Plane wave of spin 1/2 particles
    138. Free electron spin resonance
    B. Two- and Three-Body Problems
    139. Spin functions for two particles
    140. Spin-dependent central force between nucleons
    141. Powers of spin operators
    142. Angular momentum eigenfunctions of two spin particles
    143. Tensor force operator
    144. Deuteron with tensor interaction
    145. Electrical quadrupole and magnetic dipole moments of deuteron
    146. Spin functions of three particles
    147. Neutron scattering by molecular hydrogen
    Ⅳ. Many-Body Problems
    A. Few Particles
    148. Two repulsive particles on a circle
    149. Three-atomic linear molecule
    150. Centre-of-mass motion
    151. Virial theorem
    152. Slater determinant
    153. Exchange in interaction terms with Slater determinant
    154. Two electrons in the atomic ground state
    155. Excited states of the helium atom
    156. Excited S states of the helium atom
    157. Lithium ground state
    158. Exchange correction to lithium ground state
    159. Dielectric susceptibility
    160. Diamagnetic susceptibility of neon
    161. Van der Waals attraction
    162. Excitation degeneracy
    163. Neutral hydrogen molecule
    164. Scattering of equal particles
    165. Anomalous proton-proton scattering
    166. Inelastic scattering
    B. Very Many Particles: Quantum Statistics
    167. Electron gas in a metal
    168. Paramagnetic susceptibility of a metal
    169. Field emission, uncorrected for image force
    170. Field emission, corrected for image force
    171. White dwarf
    172. Thomas-Fermi approximation
    173. Amaldi correction for a neutral atom
    174. Energy of a Thomas-Fermi atom
    175. Virial theorem for the Thomas-Fermi atom
    176. Tietz approximation of a Thomas-Fermi field
    177. Variational approximation of Thomas-Fermi field
    178. Screening of K electrons
    Ⅴ. Non-Stationary Problems
    179. Two-level system with time-independent perturbation
    180. Periodic perturbation of two-level system
    181. Dirac perturbation method
    182. Periodic perturbation: Resonance
    183. Golden Rule for scattering
    184. Born scattering in momentum space
    185. Coulomb excitation of an atom
    186. Photoeffect
    187. Dispersion of light. Oscillator strengths
    188. Spin flip in a magnetic resonance device
    Ⅵ. The Relativistic Dirac Equation
    189. Iteration of the Dirac equation
    190. Plane Dirac waves of positive energy
    191. Transformation properties of a spinor
    192. Lorentz covariants
    193. Parity transformation
    194. Charge conjugation
    195. Mixed helicity states
    196. Spin expectation value
    197. Algebraic properties of a Dirac wave spinor
    198. Current in algebraic formulation
    199. Conduction current and polarization current
    200. Splitting up of Dirac equations into two pairs
    201. Central forces in Dirac theory
    202. Kepler problem in Dirac theory
    203. Hydrogen atom fine structure
    204. Radial Kepler solutions at positive kinetic energies
    205. Angular momentum expansion of plane Dirac wave
    206. Scattering by a central force potential
    207. Continuous potential step
    208. Plane wave at a potential jump
    209. Reflected intensity at a potential jump
    Ⅶ. Radiation Theory
    210. Quantization of Schrödinger field
    211. Scattering in Born approximation
    212. Quantization of classical radiation field
    213. Emission probability of a photon
    214. Angular distribution of radiation
    215. Transition probability
    216. Selection rules for dipole radiation
    217. Intensities of Lyman lines
    218. Compton effect
    219. Bremsstrahlung
    Mathematical Appendix
    Coordinate systems
    ґ function
    Bessel functions
    Legendre functions
    Spherical harmonics
    The hypergeometric series
    The confluent series
    Some functions defined by integrals
    Index for Volumes Ⅰ and Ⅱ
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