Functional analysis / George Bachman

Public ISBD Titre : Functional analysis Type de document : texte imprimé Auteurs : George Bachman ; Lawrence Narici Editeur : Dover Publications Année de publication : 2000 Importance : 1 vol. (532 p.) Présentation : ill. Format : 24 cm ISBN/ISSN/EAN : 978-0-486-40251-2 Note générale : "This Dover edition ... is an unabridged republication of the work first published by Academic Press, New York, in 1966. A preface to the Dover edition and a list of errata have been added"--T.p. verso. Langues : Anglais (eng) Catégories : Mathématique Mots-clés : Analysis Index. décimale : 515.7 - Analyse fonctionnelle Résumé : Excellent treatment of the subject geared toward students with background in linear algebra, advanced calculus, physics and engineering. Text covers introduction to inner-product spaces, normed and metric spaces, and topological spaces; complete orthonormal sets, the Hahn-Banach theorem and its consequences, spectral notions, square roots, a spectral decomposition theorem, and many other related subjects. Chapters conclude with exercises intended to test and reinforce reader’s understanding of text material. A glossary of definitions, detailed proofs of theorems, bibliography, and index of symbols round out this comprehensive text. 1966 edition. Côte titre : Fs/23551-23552 Functional analysis [texte imprimé] / George Bachman ; Lawrence Narici . - [S.l.] : Dover Publications, 2000 . - 1 vol. (532 p.) : ill. ; 24 cm. ISBN : 978-0-486-40251-2 "This Dover edition ... is an unabridged republication of the work first published by Academic Press, New York, in 1966. A preface to the Dover edition and a list of errata have been added"--T.p. verso. Langues : Anglais (eng) Catégories : Mathématique Mots-clés : Analysis Index. décimale : 515.7 - Analyse fonctionnelle Résumé : Excellent treatment of the subject geared toward students with background in linear algebra, advanced calculus, physics and engineering. Text covers introduction to inner-product spaces, normed and metric spaces, and topological spaces; complete orthonormal sets, the Hahn-Banach theorem and its consequences, spectral notions, square roots, a spectral decomposition theorem, and many other related subjects. Chapters conclude with exercises intended to test and reinforce reader’s understanding of text material. A glossary of definitions, detailed proofs of theorems, bibliography, and index of symbols round out this comprehensive text. 1966 edition. Côte titre : Fs/23551-23552

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Problems in quantum mechanics / I. I. Gol'dman

Public ISBD Titre : Problems in quantum mechanics Type de document : texte imprimé Auteurs : I. I. Gol'dman, Auteur ; Vladimir Dmitrievich Krivchenkov, Auteur ; B. T. GeÄ­likman, Editeur scientifique Mention d'édition : [Facsim. ed.] Editeur : Dover Publications Année de publication : 1993 Importance : 1 vol. (275 p.) Présentation : ill., couv. ill. en coul. Format : 22 cm ISBN/ISSN/EAN : 978-0-486-67527-5 Note générale : 978-0-486-67527-5 Langues : Anglais (eng) Langues originales : Russe (rus) Catégories : Physique Mots-clés : Théorie quantique : Problèmes et exercices Mécanique quantique Index. décimale : 530.12 - Mécanique quantique Résumé : Une collection complète de problèmes de divers degrés de difficulté dans la mécanique quantique non relativiste, avec des réponses et des solutions complètement élaborées. Parmi les sujets: mouvement unidimensionnel, transmission à travers une barrière de potentiel, relations de commutation, moment cinétique et spin et mouvement d'une particule dans un champ magnétique. Édition 1961. Note de contenu : Sommaire one-dimensional motion transmission through a potential barrier commutation relations angular momentum spin Centrally symmetric field The atom The molecule Scattering Côte titre : Fs/10385,Fs/12351-12353,Fs/12709 Problems in quantum mechanics [texte imprimé] / I. I. Gol'dman, Auteur ; Vladimir Dmitrievich Krivchenkov, Auteur ; B. T. GeÄ­likman, Editeur scientifique  . -  [Facsim. ed.] . - [S.l.] : Dover Publications, 1993 . - 1 vol. (275 p.) : ill., couv. ill. en coul. ; 22 cm. ISBN : 978-0-486-67527-5 978-0-486-67527-5 Langues : Anglais (eng) Langues originales : Russe (rus) Catégories : Physique Mots-clés : Théorie quantique : Problèmes et exercices Mécanique quantique Index. décimale : 530.12 - Mécanique quantique Résumé : Une collection complète de problèmes de divers degrés de difficulté dans la mécanique quantique non relativiste, avec des réponses et des solutions complètement élaborées. Parmi les sujets: mouvement unidimensionnel, transmission à travers une barrière de potentiel, relations de commutation, moment cinétique et spin et mouvement d'une particule dans un champ magnétique. Édition 1961. Note de contenu : Sommaire one-dimensional motion transmission through a potential barrier commutation relations angular momentum spin Centrally symmetric field The atom The molecule Scattering Côte titre : Fs/10385,Fs/12351-12353,Fs/12709

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Fs/12352	Fs/12351-12353	livre	Bibliothéque des sciences	Anglais	Disponible Disponible
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Quantum mechanics of one and two-electron atoms / Hans A. Bethe, Edwin E. Salpeter

Public ISBD 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

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Quantum theory of many-particle systems / Alexander L. Fetter

Public ISBD Titre : Quantum theory of many-particle systems Type de document : texte imprimé Auteurs : Alexander L. Fetter ; John Dirk Walecka Editeur : Dover Publications Année de publication : 2003 Importance : 1 vol (601 p.) Présentation : ill. Format : 22 cm ISBN/ISSN/EAN : 978-0-486-42827-7 Note générale : Originally published: San Francisco, McGraw-Hill, c1971. Mots-clés : Théorie quantique Index. décimale : 530.1 Physique mathématique Résumé : "Singlemindedly devoted to its job of educating potential many-particle theorists…deserves to become the standard text in the field." — Physics Today "The most comprehensive textbook yet published in its field and every postgraduate student or teacher in this field should own or have access to a copy." — Endeavor A self-contained, unified treatment of nonrelativistic many-particle systems, this text offers a solid introduction to procedures in a manner that enables students to adopt techniques for their own use. Its discussions of formalism and applications move easily between general theory and direct use by offering illustrations of principles to specific cases. Chapters on second quantization and statistical mechanics introduce students to ground-state (zero-temperature) formalism, which is explored by way of Green’s functions and field theory (fermions), Fermi systems, linear response and collective modes, and Bose systems. Finite-temperature formalism is examined through field theory at finite temperature, physical systems at finite temperature, and real-time Green’s functions and linear response. Additional topics cover canonical transformations and applications to physical systems in terms of nuclear matter, phonons and electrons, superconductivity, and superfluid helium as well as applications to finite systems. Graduate students will find this text enormously practical in making the transition from taking courses in quantum mechanics to interpreting the vast quantity of literature concerning the many-body problem. Note de contenu : Sommaire 1-Introduction Second Quantization3 Statistical Mechanics33 Groundstate Zerotemperature Formalism51 2-Greens Functions and Field Theory Fermions53 Fermi Systems 120 Linear Response and Collective Modes 171 Bose Systems 198 3-Finitetemperature Formalism 225 Field Theory at Finite Temperature 227 Physical Systems at Finite Temperature 255 Realtime Greens Functions and Linear Response 291 Canonical Transformations 311 Canonical Transformations 313 Applications to Physical Systems 339 Nuclear Matter 341 Phonons and Electrons 389 Superconductivity 413 Superfluid Helium 479 Applications to Finite Systems The Atomic Nucleus 503 Côte titre : Fs/5276 Quantum theory of many-particle systems [texte imprimé] / Alexander L. Fetter ; John Dirk Walecka . - [S.l.] : Dover Publications, 2003 . - 1 vol (601 p.) : ill. ; 22 cm. ISBN : 978-0-486-42827-7 Originally published: San Francisco, McGraw-Hill, c1971. Mots-clés : Théorie quantique Index. décimale : 530.1 Physique mathématique Résumé : "Singlemindedly devoted to its job of educating potential many-particle theorists…deserves to become the standard text in the field." — Physics Today "The most comprehensive textbook yet published in its field and every postgraduate student or teacher in this field should own or have access to a copy." — Endeavor A self-contained, unified treatment of nonrelativistic many-particle systems, this text offers a solid introduction to procedures in a manner that enables students to adopt techniques for their own use. Its discussions of formalism and applications move easily between general theory and direct use by offering illustrations of principles to specific cases. Chapters on second quantization and statistical mechanics introduce students to ground-state (zero-temperature) formalism, which is explored by way of Green’s functions and field theory (fermions), Fermi systems, linear response and collective modes, and Bose systems. Finite-temperature formalism is examined through field theory at finite temperature, physical systems at finite temperature, and real-time Green’s functions and linear response. Additional topics cover canonical transformations and applications to physical systems in terms of nuclear matter, phonons and electrons, superconductivity, and superfluid helium as well as applications to finite systems. Graduate students will find this text enormously practical in making the transition from taking courses in quantum mechanics to interpreting the vast quantity of literature concerning the many-body problem. Note de contenu : Sommaire 1-Introduction Second Quantization3 Statistical Mechanics33 Groundstate Zerotemperature Formalism51 2-Greens Functions and Field Theory Fermions53 Fermi Systems 120 Linear Response and Collective Modes 171 Bose Systems 198 3-Finitetemperature Formalism 225 Field Theory at Finite Temperature 227 Physical Systems at Finite Temperature 255 Realtime Greens Functions and Linear Response 291 Canonical Transformations 311 Canonical Transformations 313 Applications to Physical Systems 339 Nuclear Matter 341 Phonons and Electrons 389 Superconductivity 413 Superfluid Helium 479 Applications to Finite Systems The Atomic Nucleus 503 Côte titre : Fs/5276

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