Titre :	Quantum mechanics of one and two-electron atoms
Type de document :	texte imprimé
Auteurs :	Hans A. Bethe, Edwin E. Salpeter
Editeur :	Dover Publications
Année de publication :	2008
Format :	24 cm
ISBN/ISSN/EAN :	978-0-486-46667-5
Note générale :	978-0-486-46667-5
Langues :	Anglais (eng)
Catégories :	Physique
Mots-clés :	Many:body problem Atoms
Index. décimale :	530 Physique
Résumé :	This classic of modern physics includes a vast array of approximation methods, mathematical tricks, and physical pictures that are also useful in the application of quantum mechanics to other fields. Students and professionals will find it an essential reference for calculations pertaining to hydrogen-like and helium-like atoms and their comparison with experimental results. In-depth explorations of the Dirac theory of the electron and of radiative effects include brief accounts of relevant experiments. The specific application of general field-theoretic results to atomic systems also receives a thorough examination. Author Hans A. Bethe (1906–2005), Professor of Physics at Cornell University, won the Nobel Prize in Physics in 1967. Co-author Edwin E. Salpeter is James Gilbert White Distinguished Professor of the Physical Sciences at Cornell University.
Note de contenu :	Sommaire Introduction. Units. 2 I.THE HYDROGEN ATOM WITHOUT EXTERNAL FIELDS 4 a) Nonrelativistic theory . . . . . . . . . . . . . . . . . 4 t. Separation of ScHRODINGER's equation in spherical polar coordinates. Angularly dependent eigenfunctions and the angular momentum matrix 4 2. Derivation of BALMER's formula . . . . . . . . . 8 3. The radial eigenfunctions of the discrete spectrum 12 4. The eigenfunctions of the continuous spectrum . . 21 5. Motion of the nucleus . . . . . . . . . . . . . 25 6. Separation of ScHRODINGER's equation in parabolic coordinates . 27 7. Methods for the continuous spectrum for a general central potential . 32 8. Wave functions in momentum space. Discrete spectrum . . 36 9. Wave functions in momentum space. Continuous spectrum 40 b) DIRAC theory to. General properties of the DIRAC theory 11. Angular momentum . . . . . . . . . 12. PAULI theory of the spin-electron . . . 13. PAULI theory for a central potential .. 14. The exact solution of the DIRAC equation 15. DIRAC equation. Continuous spectrum 16. The DIRAC equation in momentum space 1 7. The fine structure formula . . . c) Radiative and other corrections ... 18. Radiative corrections. S-matrix theory 19. Radiative corrections. Bound states 20. Corrections for nuclear motion and structure 21. Fine structure and the LAMB shift 22. Hyperfine structure splitting . . . . . . . 23. The fine structure of positronium . . . . . II. THE HELIUM ATOM WITHOUT EXTERNAL FIELDS a) Nonrelativistic theory 24. The SCHRODINGER equation for helium (symmetry) 25. Discussion of variation and perturbation methods . 26. Level scheme of helium . . . . . . . . . . . . 27. Survey of approximations to be used . . . . . . 28. First order HEISENBERG's method (excited states) . 29. Polarization for excited states 30. FocK's method (excited S-states) . . . . . . . 31. HARTREE'S method . . . . . . . . . . . . . 32. RITz variation method (helium ground state) . . 33. Ground state of helium-like ions with arbitrary Z 34. The negative hydrogen ion . . . . 35. Variation method for excited states 36. Miscellaneous calculations 37. Motion of the nucleus b) Relativistic theory . . . . 38. Discussion of the BREIT equation 39. The PAULI approximation (low Z) VIII Contents. 40. Fine structure splitting of helium . . . . 183 41. Relativistic corrections for the ground state 189 42. BREIT equation without external field 192 43. Treatment for large Z . . . . . t96 44. Hyperfine structure . . . . . . 201 III. ATOMS IN EXTERNAL FIELDS . 205 a) ZEEMAN effect . . . . . . . . . 205 45. ZEEMAN effect for a single-electron atom . 205 46. Dependence on magnetic field strength 208 47. Some corrections to the ZEEMAN effect. 213 48. Extension to many-electron atoms. . . 218 49. Comparison with precision experiments 222 SO. The diamagnetism of helium 227 b) STARK effect in hydrogen 228 51. Linear STARK effect . . . 228 52. The quadratic STARK effect 232 53. STARK effect for strong fields . 234 54. Ionization by the electric field. Quenching of the lines in the STARK effect 235 55. STARK effect of the fine structure of hydrogen 238 c) STARK effect in helium 241 56. The STARK effect for weak fields 241 57. Dependence on field strength . . 244 58. The dielectric constant of helium 246 IV. INTERACTION WITH RADIATION 248 a) Discrete spectrum . . . . . . . . 248 59. General formulas . . . . . . . . 248 60. Selection rules for orbital and magnetic quantum numbers 252 6t. Sum rules . . . . . . . . . . . . . . . . . . . . . 255 62. Proof of the sum rules . . . . . . . . . . . . . . . . 259 63. The transition probabilities for hydrogen in polar coordinates . 262 64. Intensity of fine structure lines . . . . . . . . . 269 65. IHtensities in parabolic coordinates (STARK effect) . 276 66. Higher multipole radiation . . . . . . 278 67. Lifetimes of excited states in hydrogen 284 68. Alkali and X-ray spectra 292 b) The photoeffect . . . . . 295 69. General survey . . . . . 295 70. The BoRN approximation 299 71. The absorption coefficient without retardation 303 72. Angular distribution and retardation. 308 73. Relativistic effects. 311 74. The optical region 315 75. Recombination 320 c) Bremsstrahlung 323 76. General survey 323 77. Nonrelativistic BoRN approximation 326 78. Calculations for low energies . 331 79. Relativistic effects. . . . . . 336 Appendix on spherical harmonics 344 Bibliography 3 so Addenda and errata 3 5 t Author index . 360 Subject index . 365 Index of Tables 369
Côte titre :	Fs/14198

Quantum mechanics of one and two-electron atoms [texte imprimé] / Hans A. Bethe, Edwin E. Salpeter . - [S.l.] : Dover Publications, 2008 . -  ; 24 cm.
ISBN : 978-0-486-46667-5
978-0-486-46667-5
Langues : Anglais (eng)

Catégories :	Physique
Mots-clés :	Many:body problem Atoms
Index. décimale :	530 Physique
Résumé :	This classic of modern physics includes a vast array of approximation methods, mathematical tricks, and physical pictures that are also useful in the application of quantum mechanics to other fields. Students and professionals will find it an essential reference for calculations pertaining to hydrogen-like and helium-like atoms and their comparison with experimental results. In-depth explorations of the Dirac theory of the electron and of radiative effects include brief accounts of relevant experiments. The specific application of general field-theoretic results to atomic systems also receives a thorough examination. Author Hans A. Bethe (1906–2005), Professor of Physics at Cornell University, won the Nobel Prize in Physics in 1967. Co-author Edwin E. Salpeter is James Gilbert White Distinguished Professor of the Physical Sciences at Cornell University.
Note de contenu :	Sommaire Introduction. Units. 2 I.THE HYDROGEN ATOM WITHOUT EXTERNAL FIELDS 4 a) Nonrelativistic theory . . . . . . . . . . . . . . . . . 4 t. Separation of ScHRODINGER's equation in spherical polar coordinates. Angularly dependent eigenfunctions and the angular momentum matrix 4 2. Derivation of BALMER's formula . . . . . . . . . 8 3. The radial eigenfunctions of the discrete spectrum 12 4. The eigenfunctions of the continuous spectrum . . 21 5. Motion of the nucleus . . . . . . . . . . . . . 25 6. Separation of ScHRODINGER's equation in parabolic coordinates . 27 7. Methods for the continuous spectrum for a general central potential . 32 8. Wave functions in momentum space. Discrete spectrum . . 36 9. Wave functions in momentum space. Continuous spectrum 40 b) DIRAC theory to. General properties of the DIRAC theory 11. Angular momentum . . . . . . . . . 12. PAULI theory of the spin-electron . . . 13. PAULI theory for a central potential .. 14. The exact solution of the DIRAC equation 15. DIRAC equation. Continuous spectrum 16. The DIRAC equation in momentum space 1 7. The fine structure formula . . . c) Radiative and other corrections ... 18. Radiative corrections. S-matrix theory 19. Radiative corrections. Bound states 20. Corrections for nuclear motion and structure 21. Fine structure and the LAMB shift 22. Hyperfine structure splitting . . . . . . . 23. The fine structure of positronium . . . . . II. THE HELIUM ATOM WITHOUT EXTERNAL FIELDS a) Nonrelativistic theory 24. The SCHRODINGER equation for helium (symmetry) 25. Discussion of variation and perturbation methods . 26. Level scheme of helium . . . . . . . . . . . . 27. Survey of approximations to be used . . . . . . 28. First order HEISENBERG's method (excited states) . 29. Polarization for excited states 30. FocK's method (excited S-states) . . . . . . . 31. HARTREE'S method . . . . . . . . . . . . . 32. RITz variation method (helium ground state) . . 33. Ground state of helium-like ions with arbitrary Z 34. The negative hydrogen ion . . . . 35. Variation method for excited states 36. Miscellaneous calculations 37. Motion of the nucleus b) Relativistic theory . . . . 38. Discussion of the BREIT equation 39. The PAULI approximation (low Z) VIII Contents. 40. Fine structure splitting of helium . . . . 183 41. Relativistic corrections for the ground state 189 42. BREIT equation without external field 192 43. Treatment for large Z . . . . . t96 44. Hyperfine structure . . . . . . 201 III. ATOMS IN EXTERNAL FIELDS . 205 a) ZEEMAN effect . . . . . . . . . 205 45. ZEEMAN effect for a single-electron atom . 205 46. Dependence on magnetic field strength 208 47. Some corrections to the ZEEMAN effect. 213 48. Extension to many-electron atoms. . . 218 49. Comparison with precision experiments 222 SO. The diamagnetism of helium 227 b) STARK effect in hydrogen 228 51. Linear STARK effect . . . 228 52. The quadratic STARK effect 232 53. STARK effect for strong fields . 234 54. Ionization by the electric field. Quenching of the lines in the STARK effect 235 55. STARK effect of the fine structure of hydrogen 238 c) STARK effect in helium 241 56. The STARK effect for weak fields 241 57. Dependence on field strength . . 244 58. The dielectric constant of helium 246 IV. INTERACTION WITH RADIATION 248 a) Discrete spectrum . . . . . . . . 248 59. General formulas . . . . . . . . 248 60. Selection rules for orbital and magnetic quantum numbers 252 6t. Sum rules . . . . . . . . . . . . . . . . . . . . . 255 62. Proof of the sum rules . . . . . . . . . . . . . . . . 259 63. The transition probabilities for hydrogen in polar coordinates . 262 64. Intensity of fine structure lines . . . . . . . . . 269 65. IHtensities in parabolic coordinates (STARK effect) . 276 66. Higher multipole radiation . . . . . . 278 67. Lifetimes of excited states in hydrogen 284 68. Alkali and X-ray spectra 292 b) The photoeffect . . . . . 295 69. General survey . . . . . 295 70. The BoRN approximation 299 71. The absorption coefficient without retardation 303 72. Angular distribution and retardation. 308 73. Relativistic effects. 311 74. The optical region 315 75. Recombination 320 c) Bremsstrahlung 323 76. General survey 323 77. Nonrelativistic BoRN approximation 326 78. Calculations for low energies . 331 79. Relativistic effects. . . . . . 336 Appendix on spherical harmonics 344 Bibliography 3 so Addenda and errata 3 5 t Author index . 360 Subject index . 365 Index of Tables 369
Côte titre :	Fs/14198