Relativistic quantum mechanics: wave equations ; with 89 worked examples and problems
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Book |
| Language: | English German |
| Published: |
Berlin ; Heidelberg ; New York
Springer
2000
|
| Edition: | third edition |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIX, 424 Seiten Illustrationen |
| ISBN: | 9783540674573 9783662042755 3540674578 |
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MARC
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| 250 | |a third edition | ||
| 264 | 1 | |a Berlin ; Heidelberg ; New York |b Springer |c 2000 | |
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Record in the Search Index
| _version_ | 1804127879195262976 |
|---|---|
| adam_text | CONTENTS 1. RELATIVISTIC WAVE EQUATION FOR SPIN-0 PARTICLES: THE
KLEIN*GORDON EQUATION AND ITS APPLICATIONS . . . . . . . . . . . . . . .
1 1.1 THE NOTATION . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . 2 1.2 THE KLEIN*GORDON EQUATION . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . 4 1.3 THE
NONRELATIVISTIC LIMIT . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . 7 1.4 FREE SPIN-0 PARTICLES . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . 8 1.5 ENERGY-MOMENTUM TENSOR
OF THE KLEIN*GORDON FIELD . . . . . . . . . 12 1.6 THE KLEIN*GORDON
EQUATION IN SCHR¨ ODINGER FORM . . . . . . . . . . . . 21 1.7 CHARGE
CONJUGATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . 26 1.8 FREE SPIN-0 PARTICLES IN THE FESHBACH*VILLARS
REPRESENTATION . . . . 31 1.9 THE INTERACTION OF A SPIN-0 PARTICLE WITH
AN ELECTROMAGNETIC FIELD . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . 41 1.10 GAUGE INVARIANCE OF THE COUPLING . . . . . . . . . . .
. . . . . . . . . . . . . . 49 1.11 THE NONRELATIVISTIC LIMIT WITH
FIELDS . . . . . . . . . . . . . . . . . . . . . . . 50 1.12
INTERPRETATION OF ONE-PARTICLE OPERATORS IN RELATIVISTIC QUANTUM
MECHANICS . . . . . . . . . . . . . . . . . . . . . . . . 68 1.13
BIOGRAPHICAL NOTES . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . 97 2. A WAVE EQUATION FOR SPIN- 1 2 PARTICLES: THE
DIRAC EQUATION . . . . . . 99 2.1 FREE MOTION OF A DIRAC PARTICLE . . .
. . . . . . . . . . . . . . . . . . . . . . . . 107 2.2 SINGLE-PARTICLE
INTERPRETATION OF THE PLANE (FREE) DIRAC WAVES . . . 111 2.3
NONRELATIVISTIC LIMIT OF THE DIRAC EQUATION . . . . . . . . . . . . . .
. . . . 120 2.4 BIOGRAPHICAL NOTES . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . 126 3. LORENTZ COVARIANCE OF THE
DIRAC EQUATION . . . . . . . . . . . . . . . . . . . . . 127 3.1
FORMULATION OF COVARIANCE (FORM INVARIANCE) . . . . . . . . . . . . . .
. . 130 3.2 CONSTRUCTION OF THE * S OPERATOR FOR INFINITESIMAL LORENTZ
TRANSFORMATIONS . . . . . . . . . . . . . . . . . . . 140 3.3 FINITE
PROPER LORENTZ TRANSFORMATIONS . . . . . . . . . . . . . . . . . . . . .
. 143 3.4 THE * S OPERATOR FOR PROPER LORENTZ TRANSFORMATIONS . . . . .
. . . . . . 144 3.5 THE FOUR-CURRENT DENSITY . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . 147 3.6 BIOGRAPHICAL NOTES . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148 4.
SPINORS UNDER SPATIAL REFLECTION . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . 149 5. BILINEAR COVARIANTS OF THE DIRAC SPINORS . .
. . . . . . . . . . . . . . . . . . . . . 151 5.1 BIOGRAPHICAL NOTES . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
156 XIV CONTENTS 6. ANOTHER WAY OF CONSTRUCTING SOLUTIONS OF THE FREE
DIRAC EQUATION: CONSTRUCTION BY LORENTZ TRANSFORMATIONS . . . . . . . .
. . . . . . . . . . . . . . 157 6.1 PLANE WAVES IN ARBITRARY DIRECTIONS
. . . . . . . . . . . . . . . . . . . . . . . 161 6.2 THE GENERAL FORM
OF THE FREE SOLUTIONS AND THEIR PROPERTIES . . . 165 6.3 POLARIZED
ELECTRONS IN RELATIVISTIC THEORY . . . . . . . . . . . . . . . . . . .
174 7. PROJECTION OPERATORS FOR ENERGY AND SPIN . . . . . . . . . . . .
. . . . . . . . . 177 7.1 SIMULTANEOUS PROJECTIONS OF ENERGY AND SPIN .
. . . . . . . . . . . . . . . 181 8. WAVE PACKETS OF PLANE DIRAC WAVES .
. . . . . . . . . . . . . . . . . . . . . . . . . . 183 9. DIRAC
PARTICLES IN EXTERNAL FIELDS: EXAMPLES AND PROBLEMS . . . . . . . 197
10. THE TWO-CENTRE DIRAC EQUATION . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . 261 11. THE FOLDY*WOUTHUYSEN REPRESENTATION FOR
FREE PARTICLES . . . . . . . . 277 11.1 THE FOLDY*WOUTHUYSEN
REPRESENTATION IN THE PRESENCE OF EXTERNAL FIELDS . . . . . . . . . . .
. . . . . . . . . . . . . . 285 12. THE HOLE THEORY . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 291
12.1 CHARGE CONJUGATION . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 299 12.2 CHARGE CONJUGATION OF EIGENSTATES
WITH ARBITRARY SPIN AND MOMENTUM . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . 309 12.3 CHARGE CONJUGATION OF
BOUND STATES . . . . . . . . . . . . . . . . . . . . . . . 310 12.4 TIME
REVERSAL AND PCT SYMMETRY . . . . . . . . . . . . . . . . . . . . . . .
. 312 12.5 BIOGRAPHICAL NOTES . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . 323 13. KLEIN*S PARADOX . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. 325 14. THE WEYL EQUATION * THE NEUTRINO . . . . . . . . . . . . . . .
. . . . . . . . . . . . 333 15. WAVE EQUATIONS FOR PARTICLES WITH
ARBITRARY SPINS . . . . . . . . . . . . . . 347 15.1 PARTICLES WITH
FINITE MASS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . 347 15.2 MASSLESS PARTICLES . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . 355 15.3 SPIN-1 FIELDS FOR PARTICLES
WITH FINITE MASS: PROCA EQUATIONS . . . 359 15.4 KEMMER EQUATON . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
361 15.5 THE MAXWELL EQUATIONS . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 364 15.6 SPIN- 3 2 FIELDS . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 383 15.7
BIOGRAPHICAL NOTES . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . 388 16. LORENTZ INVARIANCE AND RELATIVISTIC
SYMMETRY PRINCIPLES . . . . . . . . . 389 16.1 ORTHOGONAL
TRANSFORMATIONS IN FOUR DIMENSIONS . . . . . . . . . . . . . 389 16.2
INFINITESIMAL TRANSFORMATIONS AND THE PROPER SUBGROUP OF O(4) . 390 16.3
CLASSIFICATION OF THE SUBGROUPS OF O(4) . . . . . . . . . . . . . . . .
. . . . . 396 16.4 THE INHOMOGENEOUS LORENTZ GROUP . . . . . . . . . . .
. . . . . . . . . . . . . 398 16.5 THE CONFORMAL GROUP . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . 400 16.6
REPRESENTATIONS OF THE FOUR-DIMENSIONAL ORTHOGONAL GROUP AND ITS
SUBGROUPS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . 402 16.6.1 TENSOR REPRESENTATION OF THE PROPER GROUPS . .
. . . . . . . . . 402 16.6.2 SPINOR REPRESENTATIONS . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . 403 CONTENTS XV 16.7
REPRESENTATION OF SL(2 , C ) . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . 406 16.8 REPRESENTATIONS OF SO(3 , R ) . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . 407 16.9 REPRESENTATIONS OF
THE LORENTZ GROUP LP . . . . . . . . . . . . . . . . . . . . 408 16.10
SPIN AND THE ROTATION GROUP . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . 410 16.11 BIOGRAPHICAL NOTES . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . 415 SUBJECT INDEX . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . 417
|
| any_adam_object | 1 |
| author | Greiner, Walter 1935-2016 |
| author2 | Bromley, Allan D. |
| author2_role | ctb |
| author2_variant | a d b ad adb |
| author_GND | (DE-588)118541994 (DE-588)1321720831 |
| author_facet | Greiner, Walter 1935-2016 Bromley, Allan D. |
| author_role | aut |
| author_sort | Greiner, Walter 1935-2016 |
| author_variant | w g wg |
| building | Verbundindex |
| bvnumber | BV013178070 |
| callnumber-first | Q - Science |
| callnumber-label | QC174 |
| callnumber-raw | QC174.26.W28 |
| callnumber-search | QC174.26.W28 |
| callnumber-sort | QC 3174.26 W28 |
| callnumber-subject | QC - Physics |
| classification_rvk | UK 1400 |
| ctrlnum | (OCoLC)247056222 (DE-599)BVBBV013178070 |
| dewey-full | 530.12 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.12 |
| dewey-search | 530.12 |
| dewey-sort | 3530.12 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | third edition |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:40:21Z |
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| isbn | 9783540674573 9783662042755 3540674578 |
| language | English German |
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| oclc_num | 247056222 |
| open_access_boolean | |
| owner | DE-703 DE-355 DE-BY-UBR DE-11 DE-384 DE-19 DE-BY-UBM DE-188 DE-83 |
| owner_facet | DE-703 DE-355 DE-BY-UBR DE-11 DE-384 DE-19 DE-BY-UBM DE-188 DE-83 |
| physical | XIX, 424 Seiten Illustrationen |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Springer |
| record_format | marc |
| spelling | Greiner, Walter 1935-2016 (DE-588)118541994 aut Relativistische Quantenmechanik Relativistic quantum mechanics wave equations ; with 89 worked examples and problems Walter Greiner third edition Berlin ; Heidelberg ; New York Springer 2000 XIX, 424 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Relativistische Quantenmechanik - Lehrbuch Dirac equation Klein-Gordon equation Relativistic quantum theory Wellengleichung (DE-588)4065315-8 gnd rswk-swf Relativistische Quantentheorie (DE-588)4177688-4 gnd rswk-swf Relativistische Quantenmechanik (DE-588)4177687-2 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Relativistische Quantenmechanik (DE-588)4177687-2 s Wellengleichung (DE-588)4065315-8 s DE-604 Relativistische Quantentheorie (DE-588)4177688-4 s 1\p DE-604 Quantenmechanik (DE-588)4047989-4 s 2\p DE-604 Bromley, Allan D. (DE-588)1321720831 ctb Erscheint auch als Online-Ausgabe 978-3-662-04275-5 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008979090&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Greiner, Walter 1935-2016 Relativistic quantum mechanics wave equations ; with 89 worked examples and problems Relativistische Quantenmechanik - Lehrbuch Dirac equation Klein-Gordon equation Relativistic quantum theory Wellengleichung (DE-588)4065315-8 gnd Relativistische Quantentheorie (DE-588)4177688-4 gnd Relativistische Quantenmechanik (DE-588)4177687-2 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4065315-8 (DE-588)4177688-4 (DE-588)4177687-2 (DE-588)4047989-4 (DE-588)4123623-3 |
| title | Relativistic quantum mechanics wave equations ; with 89 worked examples and problems |
| title_alt | Relativistische Quantenmechanik |
| title_auth | Relativistic quantum mechanics wave equations ; with 89 worked examples and problems |
| title_exact_search | Relativistic quantum mechanics wave equations ; with 89 worked examples and problems |
| title_full | Relativistic quantum mechanics wave equations ; with 89 worked examples and problems Walter Greiner |
| title_fullStr | Relativistic quantum mechanics wave equations ; with 89 worked examples and problems Walter Greiner |
| title_full_unstemmed | Relativistic quantum mechanics wave equations ; with 89 worked examples and problems Walter Greiner |
| title_short | Relativistic quantum mechanics |
| title_sort | relativistic quantum mechanics wave equations with 89 worked examples and problems |
| title_sub | wave equations ; with 89 worked examples and problems |
| topic | Relativistische Quantenmechanik - Lehrbuch Dirac equation Klein-Gordon equation Relativistic quantum theory Wellengleichung (DE-588)4065315-8 gnd Relativistische Quantentheorie (DE-588)4177688-4 gnd Relativistische Quantenmechanik (DE-588)4177687-2 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | Relativistische Quantenmechanik - Lehrbuch Dirac equation Klein-Gordon equation Relativistic quantum theory Wellengleichung Relativistische Quantentheorie Relativistische Quantenmechanik Quantenmechanik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008979090&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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