Verfügbarkeit: Relativistic quantum mechanics and introduction to field theory

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Titel:	Relativistic quantum mechanics and introduction to field theory
Von:	Francisco J. Ynduráin
Person:	Ynduráin, Francisco J. 1940-2008 Verfasser aut
Hauptverfasser:	Ynduráin, Francisco J. 1940-2008 (VerfasserIn)
Format:	Buch
Sprache:	Deutsch Englisch Spanisch
Veröffentlicht:	Berlin [u.a.] Springer 1996
Schriftenreihe:	Texts and monographs in physics
Notation:	UK 1400 UO 4000
Schlagwörter:	Champs, Théorie quantique des Kwantummechanica Kwantumveldentheorie Mecanica quantica (teoria quantica) Relativistische benadering Théorie quantique des champs Théorie quantique relativiste Quantum field theory Relativistic quantum theory Relativistische Quantenmechanik Quantenfeldtheorie
Medienzugang:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007293072&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	XII, 332 S. graph. Darst.
ISBN:	9783540604532

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Datensatz im Suchindex

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DE-BY-UBR_call_number	84/UK 1400 Y53 849/UK 1400 Y53
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DE-BY-UBR_location	UB Lesesaal Physik UB Handapparat Physik Prof. V. Braun
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adam_text	FRANCISCO J. YNDURAIN RELATIVISTIC QUANTUM MECHANICS AND INTRODUCTION TO FIELD THEORY SPRINGER TABLE OF CONTENTS 1. RELATIVISTIC TRANSFORMATIONS. THE LORENTZ GROUP 1 1.1 ROTATIONS, AND SPACE AND TIME REVERSAL FOR PARTICLES WITH SPIN 1 1.2 GALILEAN TRANSFORMATIONS 4 1.3 LORENTZ TRANSFORMATIONS. NORMAL PARAMETERS 6 1.4 MINKOWSKI SPACE. THE FULL LORENTZ GROUP 8 1.5 THE LORENTZ GROUP . 11 1.6 GEOMETRY OF MINKOWSKI SPACE 14 1.7 TRANSFORMATION PROPERTIES OF PHYSICAL QUANTITIES UNDER THE LORENTZ GROUP 17 1.8 COVARIANT FORM OF THE MAXWELL EQUATIONS 19 1.9 MINKOWSKI SPACE: METRIC, CONVENTIONS 20 2. THE KLEIN-GORDON EQUATION. RELATIVISTIC EQUATION FOR SPINLESS PARTICLES 23 2.1 THE KLEIN-GORDON EQUATION. GENERALITIES 23 2.2 WAVE EQUATION FOR FREE SPINLESS PARTICLES 24 2.3 PLANE WAVES. CURRENT. SCALAR PRODUCT 27 2.4 INTERACTION WITH THE CLASSICAL ELECTROMAGNETIC FIELD. GAUGE INVARIANCE ;;.... 31 2.5 PARTICLE IN A COULOMB FIELD 32 3. SPIN 1/2 PARTICLES 35 3.1 THE DIRAC EQUATION 35 3.2 INVARIANCE PROPERTIES OF THE DIRAC EQUATION 37 3.2.1 ROTATIONS 37 3.2.2 BOOSTS 38 3.2.3 PARITY 41 3.2.4 TIME REVERSAL 42 ^3.3 DENSITY OF PARTICLES. CURRENT. SCALAR PRODUCT 42 3.4 MINIMAL REPLACEMENT. GAUGE INVARIANCE. LARGE AND SMALL COMPONENTS: NONRELATIVISTIC LIMIT OF THE DIRAC EQUATION .... 45 3.5 PLANE WAVES. STATES WITH WELL-DEFINED SPIN 47 3.6 RADIAL FORM OF THE DIRAC EQUATION. FREE-PARTICLE SOLUTIONS . . 51 VIII TABLE OF CONTENTS 3.6.1 RADIAL FORM OF H 52 3.6.2 FREE PARTICLES 55 3.7 THE PROBLEM OF NEGATIVE ENERGIES IN THE DIRAC EQUATION. THE DIRAC SEA. HOLE THEORY. CHARGE CONJUGATION 57 3.7.1 NEGATIVE ENERGIES. THE DIRAC SEA. HOLES 57 3.7.2 CHARGE CONJUGATION 58 3.8 COVARIANTS AND PROJECTORS 60 3.8.1 COVARIANTS 60 3.8.2 PROJECTORS 61 3.9 MASSLESS SPIN 1/2 PARTICLES 62 4. DIRAC PARTICLE IN A POTENTIAL 67 4.1 DIRAC PARTICLE IN A SPHERICAL WELL 67 4.2 PARTICLE IN A COULOMB POTENTIAL: CONTINUUM STATES 69 4.3 SCATTERING STATES. PHASE SHIFTS. CROSS-SECTIONS. WAVE FUNCTION AT THE ORIGIN -.^.Y. 73 4.3.1 SCATTERING STATES. PHASE SHIFTS 73 4.3.2 CROSS-SECTIONS 74 4.3.3 WAVE FUNCTION AT THE ORIGIN 75 4.4 BOUND STATES IN A COULOMB POTENTIAL 76 4.5 SEMIRELATIVISTIC APPROXIMATION: THE FOLDY-WOUTHUYSEN TRANSFORMATION 80 4.5.1 GENERAL METHOD 80 4.5.2 ELECTROMAGNETIC INTERACTIONS 84 4.5.3 FREE PARTICLE 85 5. MASSIVE PARTICLES WITH SPIN 1. MASSLESS SPIN 1 PARTICLE: PHOTON WAVE FUNCTIONS. PARTICLES WITH HIGHER SPINS (3/2, 2, ... ) 89 5.1 PARTICLE WITH SPIN 1 AND MASS M ^ 0 89 5.2 PARTICLE WITH SPIN 1 AND ZERO MASS: THE PHOTON. ; PLANE WAVES. PHOTON SPIN 92 5.2.1 PHOTON WAVE FUNCTION. GAUGE FIXING. TRANSFORMATION PROPERTIES 92 5.2.2 PLANE WAVES. HELICITY STATES 95 5.2.3 FIELD VARIABLES AS WAVE FUNCTIONS FOR THE PHOTON. THE SCHWINGER GAUGE 96 5.3 ANGULAR MOMENTUM EIGENSTATES FOR THE PHOTON. VECTOR SPHERICAL HARMONICS. MULTIPOLES 97 5.3.1 GENERAL USEFUL FORMULAS 97 5.3.2 MULTIPOLES 100 5.3.3 PHOTON WAVE FUNCTIONS WITH WELL-DEFINED ANGULAR MOMENTUM 102 5.4 PARTICLES WITH HIGHER SPINS. RARITA-SCHWINGER AND BARGMANN-WIGNER EQUATIONS. THE GRAVITON 104 TABLE OF CONTENTS IX 5.4.1 RARITA-SCHWINGER EQUATIONS 104 5.4.2 BARGMANN-WIGNER EQUATIONS 105 5.4.3 THE GRAVITON 106 6. GENERAL DESCRIPTION OF RELATIVISTIC STATES .. 109 6.1 PRELIMINARIES 109 6.2 RELATIVISTIC ONE-PARTICLE STATES: GENERAL DESCRIPTION 112 6.3 RELATIVISTIC STATES OF MASSIVE (M ^ 0) PARTICLES 116 6.4 MASSLESS PARTICLES 119 6.5 MANY-PARTICLE STATES. CREATION-ANNIHILATION OPERATORS. FOCK SPACE 123 6.6 CONNECTION WITH THE WAVE FUNCTION FORMALISM 125 7. GENERAL DESCRIPTION OF RELATIVISTIC COLLISIONS: S MATRIX, CROSS-SECTIONS AND DECAY RATES. PARTIAL WAVE ANALYSES . . 129 7.1 TWO-PARTICLE STATES. SEPARATION OF THE CENTRE OF MASS MOTION. STATES WITH WELL-DEFINED ANGULAR MOMENTUM 129 7.2 KINEMATICS OF TWO-PARTICLE COLLISIONS 131 7.3 THE S MATRIX. SCATTERING AMPLITUDE. NONRELATIVISTIC LIMIT .. 134 7.4 CROSS-SECTIONS AND DECAY RATES. THE OPTICAL THEOREM 136 7.5 PARTIAL WAVE ANALYSIS AND PHASE SHIFTS. I. SPINLESS ELASTIC SCATTERING. EFFECTIVE RANGE EXPANSION .... 140 7.5.1 PARTIAL WAVE ANALYSIS 140 7.5.2 EFFECTIVE RANGE FORMALISM 143 7.6 PARTIAL WAVE ANALYSIS. II. SEVERAL TWO-BODY CHANNELS 143 7.6.1 MULTICHANNEL ANALYSIS 143 7.6.2 EFFECTIVE RANGE APPROXIMATION 146 7.7 PARTIAL WAVE ANALYSIS. III. PARTICLES WITH SPIN 146 7.7.1 SPIN ANALYSIS 146 7.7.2 SCATTERING OF SPIN 0 - SPIN 1/2 PARTICLES 148 7.8 EVALUATION OF THE S MATRIX , *; 150 7.8.1 THE S MATRIX AND THE INTERACTION PICTURE 150 7.8.2 THE 5 MATRIX IN THE LIPPMANN-SCHWINGER FORMALISM . 154 7.8.3 SCATTERING BY TWO INTERACTIONS 157 8. QUANTIZATION OF THE ELECTROMAGNETIC FIELD. INTERACTION OF RADIATION WITH MATTER 159 8.1 NORMAL, OR WICK, PRODUCTS 159 8.2 QUANTIZATION OF THE ELECTROMAGNETIC FIELD (COULOMB GAUGE). THE CASIMIR EFFECT 160 8.2.1 QUANTIZATION OF THE ELECTROMAGNETIC FIELD 160 8.2.2 MULTIPOLE EXPANSION 165 8.2.3 THE CASIMIR EFFECT 166 8.3 INTERACTION OF THE RADIATION WITH SLOWLY MOVING PARTICLES .. . 169 8.3.1 RADIATIVE DECAYS, AND ABSORPTION OF RADIATION 171 X TABLE OF CONTENTS 8.3.2 FIOW-ENERGY COMPTON SCATTERING 175 8.4 BREMSSTRAHLUNG 180 8.5 THE CLASSICAL LIMIT. COHERENT STATES 184 8.6 UNCERTAINTY RELATIONS FOR FIELD VARIABLES 186 9. QUANTUM FIELDS: SPIN 0, 1/2, 1. COVARIANT QUANTIZATION OF THE ELECTROMAGNETIC FIELD 189 9.1 V GENERALITIES 189 9.2 LOCALIZATION OF PARTICLES IN RELATIVISTIC QUANTUM MECHANICS . 189 9.3 RETARDATION AND CONSISTENCY 191 9.4 QUANTIZATION OF SCALAR FIELDS AND OF MASSIVE VECTOR FIELDS... 193 9.4.1 SECOND QUANTIZATION FOR SPINLESS PARTICLES 193 9.4.2 MASSIVE VECTOR PARTICLES 198 9.5 QUANTIZATION OF THE DIRAC FIELD. WEYL AND MAJORANA PARTICLES 198 9.6 COVARIANT QUANTIZATION OF THE ELECTROMAGNETIC FIELD 204 9.6.1 THE GUPTA-BLEULER SPACE 205 9.6.2 COVARIANT TRANSFORMATION 210 9.6.3 THE METRIC OPERATOR METHOD . 212 9.7 TIME-ORDERED PRODUCT. PROPAGATORS 213 9.8 INTERACTIONS IN QUANTUM FIELD THEORY. LAGRANGIAN FORMULATION 217 9.8.1 LAGRANGIAN FORMALISM FOR FIELDS 217 9.8.2 INTERACTIONS :. 219 9.9 GAUGE INVARIANCE IN QUANTUM ELECTRODYNAMICS 222 10. INTERACTIONS IN QUANTUM FIELD THEORY. NONRELATIVISTIC LIMIT. REDUCTION TO EQUIVALENT POTENTIAL . . 229 10.1 POTENTIALS EQUIVALENT TO FIELD-THEORETIC INTERACTIONS. GENERAL METHOD 229 10.2 EQUIVALENT POTENTIAL FOR TWO PARTICLES IN ELECTROMAGNETIC INTERACTION L 232 10.2 )L ELASTIC COLLISION OF TWO CHARGED PARTICLES IN THE BORN APPROXIMATION 232 10.2.2 NONRELATIVISTIC LIMIT 236 10.2.3 RELATIVISTIC CORRECTIONS. THE BREIT TERM 240 10.3 HYDROGENLIKE ATOMS: HYPERFINE STRUCTURE. SYSTEM WITH TWO ELECTRONS: THE HELIUM ATOM 243 10.3.1 HYDROGENLIKE ATOMS 243 10.3.2 SYSTEM WITH TWO ELECTRONS. THE HELIUM ATOM 244 10.4 ELECTRON-POSITRON COLLISIONS: EFFECTIVE POTENTIAL. POSITRONIUM 247 10.4.1 SCATTERING AMPLITUDE IN THE BORN APPROXIMATION .... 247 10.4.2 ANNIHILATION CHANNEL 252 10.4.3 POSITRONIUM 256 10.5 SCALAR AND PSEUDOSCALAR INTERACTIONS. THE YUKAWA POTENTIAL . 258 10.6 WEAK NEUTRAL CURRENTS. PARITY VIOLATION IN ATOMS 262 TABLE OF CONTENTS XI 11. RELATIVISTIC COLLISIONS IN FIELD THEORY. FEYNMAN RULES. DECAYS 267 11.1 ELECTRON-POSITRON ANNIHILATION INTO TWO PHOTONS, AND PAIR CREATION BY TWO-PHOTON COLLISIONS 267 11.1.1 E + E~ ANNIHILATION INTO 2J 267 11.1.2 CREATION OF AN E + E~ PAIR BY TWO PHOTONS 270 11.2 FEYNMAN RULES. GAUGE INVARIANCE 271 11.2.1 FEYNMAN RULES FOR THE EVALUATION OF TRANSITION AMPLITUDES 271 11.2.2 GAUGE INVARIANCE 276 11.3 POLARIZED AND UNPOLARIZED CROSS-SECTIONS. SUMS OVER POLARIZATIONS 279 11.4 COMPTON SCATTERING (RELATIVISTIC) 281 11.5 DECAY OF BOUND STATES 284 11.5.1 GENERAL THEORY 284 11.5.2 DECAYS OF POSITRONIUM 286 11.5.3 DECAY OF MUONIUM INTO E + E~~. DECAYS OF QUARKONIUM . 288 12. RELATIVISTIC INTERACTIONS WITH CLASSICAL SOURCES 291 12.1 INTERACTION WITH A FIXED (CLASSICAL) POTENTIAL 291 12.1.1 SCATTERING BY AN EXTERNAL FIELD 291 12.1.2 BREMSSTRAHLUNG 293 12.2 PHOTON EMISSION BY A CLASSICAL SOURCE. THE BLOCH-NORDSIECK THEOREM. CLASSICAL LIMIT 294 12.2.1 CLASSICAL RADIATION .294 12.2.2 PHOTON EMISSION BY A CLASSICAL CURRENT 296 12.2.3 RADIATION OF COHERENT STATES 300 12.2.4 THE BLOCH-NORDSIECK THEOREM 300 12.3 PROPAGATION OF AN ELECTRON IN A CLASSICAL POTENTIAL. THE PROPER-TIME METHOD 301 12.3.1 ELECTRON IN A COULOMB POTENTIAL : 302 12.3.2 THE PROPER-TIME METHOD 304 12.3.3 DIRAC PARTICLE IN A CONSTANT FIELD, OR IN A PLANE WAVE 307 APPENDICES , 309 A.I SPHERICAL HARMONICS, CLEBSCH-GORDAN COEFFICIENTS, MATRIX REPRESENTATIONS OF THE ROTATION GROUP 309 A.1.1 SPHERICAL HARMONICS 309 A.1.2 SOME SPECIFIC VALUES 310 A.1.3 MULTIPLICATION FORMULAS 310 A.1.4 GEGENBAUER-LIKE FORMULAS 310 A.I.5 SPINOR AND VECTOR SPHERICAL HARMONICS 310 A.1.6 CLEBSCH-GORDAN COEFFICIENTS 311 A.I.7 ROTATION MATRICES 313 A.2 SPECIAL FUNCTIONS 313 XII TABLE OF CONTENTS A.2.1 KUMMER, OR CONFLUENT HYPERGEOMETRIC FUNCTIONS .... 313 A.2.2 BESSEL FUNCTIONS 314 A.2.3 SPHERICAL BESSEL FUNCTIONS 315 A.2.4 BESSEL FUNCTIONS OF THE SECOND KIND 315 A.2.5 LAGUERRE POLYNOMIALS 315 A.3 RELATION BETWEEN THE LORENTZ GROUP AND THE GROUP SL(2,C) 316 A.4 7 MATRICES 319 A.4.1 THE PAULI REALIZATION 321 A.4.2 THE WEYL REALIZATION 321 A.4.3 THE MAJORANA REALIZATION 321 A.5 THREE LEMMAS ON T AND WICK EXPONENTIALS 322 A.6 PHYSICAL QUANTITIES 324 A.6.1 SI (GAUSS) UNITS : 324 A.6.2 NATURAL UNITS: C=H=L 324 A.6.3 OTHER RELATIONS 325 REFERENCES 327 INDEX 329
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publishDate	1996
publishDateSearch	1996
publishDateSort	1996
publisher	Springer
record_format	marc
series2	Texts and monographs in physics
spellingShingle	Ynduráin, Francisco J. 1940-2008 Relativistic quantum mechanics and introduction to field theory Champs, Théorie quantique des ram Kwantummechanica gtt Kwantumveldentheorie gtt Mecanica quantica (teoria quantica) larpcal Relativistische benadering gtt Théorie quantique des champs Théorie quantique relativiste Théorie quantique relativiste ram Quantum field theory Relativistic quantum theory Relativistische Quantenmechanik (DE-588)4177687-2 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd
subject_GND	(DE-588)4177687-2 (DE-588)4047984-5
title	Relativistic quantum mechanics and introduction to field theory
title_alt	Mecánica cuántica relativista
title_auth	Relativistic quantum mechanics and introduction to field theory
title_exact_search	Relativistic quantum mechanics and introduction to field theory
title_full	Relativistic quantum mechanics and introduction to field theory Francisco J. Ynduráin
title_fullStr	Relativistic quantum mechanics and introduction to field theory Francisco J. Ynduráin
title_full_unstemmed	Relativistic quantum mechanics and introduction to field theory Francisco J. Ynduráin
title_short	Relativistic quantum mechanics and introduction to field theory
title_sort	relativistic quantum mechanics and introduction to field theory
topic	Champs, Théorie quantique des ram Kwantummechanica gtt Kwantumveldentheorie gtt Mecanica quantica (teoria quantica) larpcal Relativistische benadering gtt Théorie quantique des champs Théorie quantique relativiste Théorie quantique relativiste ram Quantum field theory Relativistic quantum theory Relativistische Quantenmechanik (DE-588)4177687-2 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd
topic_facet	Champs, Théorie quantique des Kwantummechanica Kwantumveldentheorie Mecanica quantica (teoria quantica) Relativistische benadering Théorie quantique des champs Théorie quantique relativiste Quantum field theory Relativistic quantum theory Relativistische Quantenmechanik Quantenfeldtheorie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007293072&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT yndurainfranciscoj mecanicacuanticarelativista AT yndurainfranciscoj relativisticquantummechanicsandintroductiontofieldtheory

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