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Practical Quantum Mechanics II (Grundlehren Der Mathematischen Wissenschaften)

door Siegfried Flügge

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Volume II.- 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 ± 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.- 118. 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. Anamalous 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 atpm.- 176. Tietz approximation of Thomas-Fermi atpm.- 177. Variational approximation of Thomas-Fermi field.- 178. Screening of K electrons.- V. Non-Stationary Problems.- V. Non-Stationary Problems.- 179. Two-level system with time-independent perturbation.- 180. Periodic perturbation of two-level system.- 181. Dirac perturbation of two-level system.- 182. Periodic perturbation of two-level system.- 183. Golden Rule for scattering.- 184. Born scattering in momentum space.- 185. Coulumb excitation of an atom.- 186. Photoeffect.- 187. Dispersion of light. Oscilliator strengths.- 188. Spin flip in a magnetic resonance device.- VI. The Relativistic Dirac Equation.- 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.- 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.- ?function.- Bessel functions.- Legendre functions.- Spherical harmonics.- The hypergeometric series.- The confluent series.- Some functions defined by integrals.- Index for Volumes I and II.… (meer)
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Volume II.- 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 ± 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.- 118. 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. Anamalous 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 atpm.- 176. Tietz approximation of Thomas-Fermi atpm.- 177. Variational approximation of Thomas-Fermi field.- 178. Screening of K electrons.- V. Non-Stationary Problems.- V. Non-Stationary Problems.- 179. Two-level system with time-independent perturbation.- 180. Periodic perturbation of two-level system.- 181. Dirac perturbation of two-level system.- 182. Periodic perturbation of two-level system.- 183. Golden Rule for scattering.- 184. Born scattering in momentum space.- 185. Coulumb excitation of an atom.- 186. Photoeffect.- 187. Dispersion of light. Oscilliator strengths.- 188. Spin flip in a magnetic resonance device.- VI. The Relativistic Dirac Equation.- 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.- 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.- ?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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