Exact solutions of relativistic wave equations:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer Acad. Publ.
1990
|
| Schriftenreihe: | Mathematics and its applications / Soviet series
39 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus d. Russ. übers. |
| Beschreibung: | X, 323 S. |
| ISBN: | 079230215X |
Internformat
MARC
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| 100 | 1 | |a Bagrov, Vladislav G. |d 19XX- |e Verfasser |0 (DE-588)1053551045 |4 aut | |
| 245 | 1 | 0 | |a Exact solutions of relativistic wave equations |c by V. G. Bagrov and D. M. Gitman |
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer Acad. Publ. |c 1990 | |
| 300 | |a X, 323 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematics and its applications / Soviet series |v 39 | |
| 500 | |a Aus d. Russ. übers. | ||
| 650 | 7 | |a Champs, Théorie quantique des |2 ram | |
| 650 | 7 | |a Dirac,équation de |2 ram | |
| 650 | 4 | |a Equation Dirac | |
| 650 | 4 | |a Equation Klein-Gordon | |
| 650 | 4 | |a Equation Schrödinger | |
| 650 | 4 | |a Equation onde relativiste | |
| 650 | 4 | |a Solution exacte | |
| 650 | 4 | |a Théorie quantique champ | |
| 650 | 7 | |a Équations d'onde - Solutions numériques |2 ram | |
| 650 | 4 | |a Dirac equation | |
| 650 | 4 | |a Klein-Gordon equation | |
| 650 | 4 | |a Quantum field theory | |
| 650 | 4 | |a Wave equation |x Numerical solutions | |
| 650 | 0 | 7 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Klein-Gordon-Gleichung |0 (DE-588)4164132-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Quantenfeldtheorie |0 (DE-588)4047984-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Exakte Lösung |0 (DE-588)4348289-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Relativistische Wellengleichung |0 (DE-588)4177692-6 |2 gnd |9 rswk-swf |
| 655 | 7 | |a Relativitische Wellengleichung |2 gnd |9 rswk-swf | |
| 689 | 0 | 0 | |a Relativitische Wellengleichung |A f |
| 689 | 0 | 1 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |D s |
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| 689 | 1 | 0 | |a Quantenfeldtheorie |0 (DE-588)4047984-5 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Klein-Gordon-Gleichung |0 (DE-588)4164132-2 |D s |
| 689 | 2 | |5 DE-604 | |
| 689 | 3 | 0 | |a Relativistische Wellengleichung |0 (DE-588)4177692-6 |D s |
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| 689 | 4 | 1 | |a Exakte Lösung |0 (DE-588)4348289-2 |D s |
| 689 | 4 | |5 DE-188 | |
| 700 | 1 | |a Gitman, Dmitry |d 1944- |e Verfasser |0 (DE-588)1053551088 |4 aut | |
| 810 | 2 | |a Soviet series |t Mathematics and its applications |v 39 |w (DE-604)BV004708148 |9 39 | |
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Datensatz im Suchindex
| _version_ | 1804118082424143872 |
|---|---|
| adam_text | Contents
Introduction 1
Chapter 1.
General properties of solutions of the Klein Gordon and Dirac
equations 7
1 Basic notations and equations 7
2 Some properties of the Dirac matrices, scalar product of relativistic wave
functions and transformation laws 13
3 On relations between solutions of the Dirac
and Klein Gordon equations 28
4 Spin operators for the Dirac equation 32
Chapter 2.
Most important exactly solvable problems in relativistic quantum
mechanics 43
5 Free relativistic particle. §1 43
6 Motion of charge in a constant
and homogeneous magnetic field. §2 49
7 Motion of charge in the plane wave electromagnetic field. §3 61
8 Solutions in spherically symmetric fields. §4 67
Chapter 3.
Exact solutions of relativistic equations of motion in external
fields of special configuration 75
9 General properties of motion of an electron in a
crossed electromagnetic field 77
viii CONTENTS
10 Electron in crossed stationary electromagnetic fields. §§5 — 7 80
11 Exact solutions for a charge in
nonstationary crossed fields. §§8 — 19 87
12 Charge motion in longitudinal electromagnetic fields. §§20 — 25 .. 103
13 Electron motion in a combination of crossed
and longitudinal fields. §§26 39 110
14 Exact solutions in the fields of
nonstandard structure. §§40 — 43 144
Chapter 4.
Green s functions of relativistic wave equations in external
electromagnetic fields 157
15 Introduction 157
16 Proper time solution of equations for the Green s functions in
a constant field and in a combination of the latter with
a plane wave field 161
17 Solutions and evolution functions of the Klein Gordon
and Dirac equations in a constant field and in its combination with
a plane wave field 170
Chapter 5.
Coherent states of relativistic particles 181
18 Introduction 181
19 Coherent states of relativistic particles that move in an external
electromagnetic field 185
Chapter 6.
Charged particles in a quantized plane wave field 194
CONTENTS ix
20 Basic equations and their interpretation 194
21 Separation of the spin variables in the Dirac equation 199
22 Separation of the spatial and photon variables. Conserved
energy momentum operator of the system 201
23 Charge in quantized field of a monochromatic plane wave with arbitrary
polarization 205
24 Decomposition in linear polarizations for a quantized wave with
arbitrary spectral composition and polarization 209
25 Canonical forms of the Hamiltonian for quantized wave
of general form 212
26 Coordinate representation. Reduction of the Hamiltonian to the
canonical form in the coordinate representation 225
27 Stationary states 227
28 Relations of orthogonality, normalization and completeness 231
29 Integrals of motion. Coherent states 233
30 Relation between the Volkov solutions and the wave functions in a
quantized plane wave field 235
31 The Green s functions of the Klein Gordon and Dirac equations in a
quantized plane wave field 237
32 Charge in the quantized plane wave field combined with a classical
electromagnetic field 240
Chapter 7.
Exact solutions of Dirac Pauli equations 249
33 The Dirac Pauli equation 249
x CONTENTS
34 A charged particle with the anomalous moments in a constant and
homogeneous magnetic field 251
35 Exact solutions of the Dirac Pauli equation for a particle in a plane
electromagnetic wave field 253
36 Solution of the Dirac Pauli equation in a plane wave field combined
with a longitudinal running electric field 258
Appendix I
Exact solutions of the one dimensional stationary Schrodinger
equation 260
Appendix II
Systems with quadratic Hamiltonians 289
References 299
Subject Index 323
|
| any_adam_object | 1 |
| author | Bagrov, Vladislav G. 19XX- Gitman, Dmitry 1944- |
| author_GND | (DE-588)1053551045 (DE-588)1053551088 |
| author_facet | Bagrov, Vladislav G. 19XX- Gitman, Dmitry 1944- |
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| author_sort | Bagrov, Vladislav G. 19XX- |
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| genre | Relativitische Wellengleichung gnd |
| genre_facet | Relativitische Wellengleichung |
| id | DE-604.BV003750374 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:04:38Z |
| institution | BVB |
| isbn | 079230215X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002380474 |
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| physical | X, 323 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Kluwer Acad. Publ. |
| record_format | marc |
| series2 | Mathematics and its applications / Soviet series |
| spelling | Bagrov, Vladislav G. 19XX- Verfasser (DE-588)1053551045 aut Exact solutions of relativistic wave equations by V. G. Bagrov and D. M. Gitman Dordrecht [u.a.] Kluwer Acad. Publ. 1990 X, 323 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications / Soviet series 39 Aus d. Russ. übers. Champs, Théorie quantique des ram Dirac,équation de ram Equation Dirac Equation Klein-Gordon Equation Schrödinger Equation onde relativiste Solution exacte Théorie quantique champ Équations d'onde - Solutions numériques ram Dirac equation Klein-Gordon equation Quantum field theory Wave equation Numerical solutions Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Klein-Gordon-Gleichung (DE-588)4164132-2 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Exakte Lösung (DE-588)4348289-2 gnd rswk-swf Relativistische Wellengleichung (DE-588)4177692-6 gnd rswk-swf Relativitische Wellengleichung gnd rswk-swf Relativitische Wellengleichung f Numerisches Verfahren (DE-588)4128130-5 s DE-604 Quantenfeldtheorie (DE-588)4047984-5 s Klein-Gordon-Gleichung (DE-588)4164132-2 s Relativistische Wellengleichung (DE-588)4177692-6 s Exakte Lösung (DE-588)4348289-2 s DE-188 Gitman, Dmitry 1944- Verfasser (DE-588)1053551088 aut Soviet series Mathematics and its applications 39 (DE-604)BV004708148 39 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002380474&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bagrov, Vladislav G. 19XX- Gitman, Dmitry 1944- Exact solutions of relativistic wave equations Champs, Théorie quantique des ram Dirac,équation de ram Equation Dirac Equation Klein-Gordon Equation Schrödinger Equation onde relativiste Solution exacte Théorie quantique champ Équations d'onde - Solutions numériques ram Dirac equation Klein-Gordon equation Quantum field theory Wave equation Numerical solutions Numerisches Verfahren (DE-588)4128130-5 gnd Klein-Gordon-Gleichung (DE-588)4164132-2 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd Exakte Lösung (DE-588)4348289-2 gnd Relativistische Wellengleichung (DE-588)4177692-6 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4164132-2 (DE-588)4047984-5 (DE-588)4348289-2 (DE-588)4177692-6 |
| title | Exact solutions of relativistic wave equations |
| title_auth | Exact solutions of relativistic wave equations |
| title_exact_search | Exact solutions of relativistic wave equations |
| title_full | Exact solutions of relativistic wave equations by V. G. Bagrov and D. M. Gitman |
| title_fullStr | Exact solutions of relativistic wave equations by V. G. Bagrov and D. M. Gitman |
| title_full_unstemmed | Exact solutions of relativistic wave equations by V. G. Bagrov and D. M. Gitman |
| title_short | Exact solutions of relativistic wave equations |
| title_sort | exact solutions of relativistic wave equations |
| topic | Champs, Théorie quantique des ram Dirac,équation de ram Equation Dirac Equation Klein-Gordon Equation Schrödinger Equation onde relativiste Solution exacte Théorie quantique champ Équations d'onde - Solutions numériques ram Dirac equation Klein-Gordon equation Quantum field theory Wave equation Numerical solutions Numerisches Verfahren (DE-588)4128130-5 gnd Klein-Gordon-Gleichung (DE-588)4164132-2 gnd Quantenfeldtheorie (DE-588)4047984-5 gnd Exakte Lösung (DE-588)4348289-2 gnd Relativistische Wellengleichung (DE-588)4177692-6 gnd |
| topic_facet | Champs, Théorie quantique des Dirac,équation de Equation Dirac Equation Klein-Gordon Equation Schrödinger Equation onde relativiste Solution exacte Théorie quantique champ Équations d'onde - Solutions numériques Dirac equation Klein-Gordon equation Quantum field theory Wave equation Numerical solutions Numerisches Verfahren Klein-Gordon-Gleichung Quantenfeldtheorie Exakte Lösung Relativistische Wellengleichung Relativitische Wellengleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002380474&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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