Relativistic quantum mechanics and introduction to field theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German English Spanish |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1996
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| Schriftenreihe: | Texts and monographs in physics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 332 S. graph. Darst. |
| ISBN: | 9783540604532 |
Internformat
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| 245 | 1 | 0 | |a Relativistic quantum mechanics and introduction to field theory |c Francisco J. Ynduráin |
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| 650 | 4 | |a Théorie quantique relativiste | |
| 650 | 7 | |a Théorie quantique relativiste |2 ram | |
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Datensatz im Suchindex
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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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| indexdate | 2024-07-09T18:00:53Z |
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| language | German English Spanish |
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| owner | DE-29T DE-384 DE-355 DE-BY-UBR DE-703 DE-20 DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-634 DE-83 DE-11 DE-188 |
| owner_facet | DE-29T DE-384 DE-355 DE-BY-UBR DE-703 DE-20 DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-634 DE-83 DE-11 DE-188 |
| physical | XII, 332 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
| record_format | marc |
| series2 | Texts and monographs in physics |
| spelling | Ynduráin, Francisco J. 1940-2008 Verfasser (DE-588)121133125 aut Mecánica cuántica relativista Relativistic quantum mechanics and introduction to field theory Francisco J. Ynduráin Berlin [u.a.] Springer 1996 XII, 332 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Texts and monographs in physics 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 rswk-swf Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Relativistische Quantenmechanik (DE-588)4177687-2 s DE-604 Quantenfeldtheorie (DE-588)4047984-5 s GBV Datenaustausch application/pdf 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 Inhaltsverzeichnis |
| 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 |