Quantum physics: 2 From time-dependent dynamics to many-body physics and quantum chaos
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Weinheim
Wiley-VCH
2011
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Schriftenreihe: | Physics textbook
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Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XIV, 566 S. graph. Darst. 24 cm |
ISBN: | 9783527409846 |
Internformat
MARC
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245 | 1 | 0 | |a Quantum physics |n 2 |p From time-dependent dynamics to many-body physics and quantum chaos |c Vladimir Zelevinsky |
264 | 1 | |a Weinheim |b Wiley-VCH |c 2011 | |
300 | |a XIV, 566 S. |b graph. Darst. |c 24 cm | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
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943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-020720924 |
Datensatz im Suchindex
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IMAGE 1
CONTENTS
PREFACE XIU
1 NONSTATIONARY PERTURBATIONS 1 1.1 TRANSITION PROBABILITY 1 1.2
PERTURBATIVE SOLUTION 2 1.3 FORMAL SERIES 5
1.4 ADIABATIC PERTURBATIONS 7 1.5 ADIABATIC PERTURBATION THEORY 8 1.6
NONADIABATIC TRANSITIONS 10 1.7 GEOMETRIC PHASE 13
1.8 SUDDEN PERTURBATIONS 16 1.9 SHAKE-OFF PROCESSES 19
2 PERIODIC PERTURBATIONS 23 2.1 GOLDEN RULE 23
2.2 BEYOND THE FIRST ORDER 26 2.3 DEGENERATE STATES 26 2.4 QUASIENERGY
28
2.5 FINAL STATES IN THE CONTINUUM 29 2.6 ROTATING WAVE APPROXIMATION 35
2.7 INTERACTION WITH THE QUANTIZED FIELD 38 2.8 DRESSED STATES 41
2.9 SUPER-RADIANCE 42
3 SCATTERING OF FAST CHARGED PARTICLES 47 3.1 SCATTERING AND CROSS
SECTION 47 3.2 RUTHERFORD SCATTERING 49 3.3 STATIC FORM-FACTOR 51 3.4
SCREENING 54
3.5 ATOMIC EXCITATION AND LONIZATION 56 3.6 ENERGY LOSSES 58
3.7 COULOMB EXCITATION 60
4 PHOTONS 63
4.1 INTRODUCTION: CLASSICAL AND QUANTUM FIELD 63
QUANTUM PHYSICS, VOLUME 2: FROM TIME-DEPENDENT DYNAMICS TO MANY-BODY
PHYSICS AND QUANTUM CHAOS. VLADIMIR ZELEVINSKY COPYRIGHT 2011
WILEY-VCH VERLAG GMBH & CO. KGAA. WEINHCIM ISBN: 978-3-527-40984-6
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1002408431
DIGITALISIERT DURCH
IMAGE 2
VI I CONTENTS
4.2 HAMILTONIAN DESCRIPTION OF THE RADIATION FIELD 64
4.3 QUANTIZATION OF THE RADIATION FIELD 67 4.4 PHOTON WAVE FUNCTION 71
4.5 VECTOR SPHERICAL HARMONICS 73 4.6 CASIMIR EFFECT 75
4.7 EULER-MACLAURIN SUMMATION FORMULA 77 4.8 LAMB SHIFT 79
4.9 INTERACTION OF RADIATION WITH MATTER 82
5 PHOTOABSORPTION AND PHOTOEMISSION 87 5.1 EINSTEIN COEFFICIENTS; MASERS
AND LASERS 87 5.2 PHOTOABSORPTION 91 5.3 LONG WAVELENGTH LIMIT 92 5.4
HIGHER MULTIPOLE TRANSITIONS 95 5.5 STIMULATED AND SPONTANEOUS RADIATION
97 5.6 DIPOLE RADIATION 98 5.7 SELECTION RULES AND EXAMPLES 200 5.8
PHOTOELECTRIC EFFECT 103
6 DISPERSION AND THE SCATTERING OF LIGHT 107 6.1 MACROSCOPIC DESCRIPTION
107 6.2 LINEAR RESPONSE 108 6.3 CAUSALITY 110
6.4 DIELECTRIC FUNCTION 112 6.5 DISPERSION PROPERTIES 114 6.6 QUANTUM
DAMPING 116
6.7 DISPERSION RELATIONS 118 6.8 DESCRIPTION OF SCATTERING 119 6.9
SCATTERING CROSS SECTION 121 6.10 COHERENT SCATTERING 123 6.11 RESONANCE
FLUORESCENCE 124 6.12 SCATTERING OFF MANY CENTERS 125
7 BASICS OF QUANTUM SCATTERING 229 7.1 SCATTERING AND OBSERVABLES 229
7.2 CLASSICAL SCATTERING AND CROSS SECTION 230 7.3 SCATTERING MATRIX 133
7.4 TRANSITION RATE 134 7.5 BORN APPROXIMATION 236 7.6 CONTINUITY
EQUATION 138 7.7 ELASTIC SCATTERING 139
7.8 UNITARITY AND OPTICAL THEOREM 240 7.9 GREEN FUNCTION 242 7.10 BORN
SERIES 245 7.11 VALIDITY OF THE BORN APPROXIMATION 248 7.12 SCATTERING
AT HIGH ENERGIES 250
IMAGE 3
CONTENTS I VIL
8 METHOD OF PARTIAL WAVES 253
8.1 PARTIAL WAVE ANALYSIS 253 8.2 ELASTIC AND INELASTIC CROSS SECTIONS
155 8.3 ELASTIC PHASE SHIFTS 256 8.4 ANALYTIRITY 257
8.5 SCATTERING AT LOW ENERGIES: EXAMPLES 258 8.6 PHASES AND THEIR ENERGY
BEHAVIOR 262 8.7 SCATTERING LENGTH 265 8.8 RESONANCE SCATTERING AT LOW
ENERGIES 168 8.9 EFFECTIVE RADIUS 272 8.10 SCATTERING WITH SPIN-ORBIT
INTERACTION 272 8.11 POLARIZATION AND AZIMUTHAL ASYMMETRY 275
9 MORE ON SCATTERING 279
9.1 CLASSICAL AND NON-CLASSICAL SCATTERING 179 9.2 SEMICLASSICAL
AMPLITUDE 180 9.3 SEMICLASSICAL PHASES 181 9.4 RELATION TO THE EIKONAL
APPROXIMATION 285
9.5 DIFFRACTION SCATTERING 186 9.6 DIFFRACTION FROM A BLACK SPHERE 188
9.7 OPTICAL MODEL 190
9.8 MULTIPLE SCATTERING IN THE MEDIUM 192 9.9 COHERENT SCATTERING IN
CRYSTALS 196
10 REACTIONS, DECAYS AND RESONANCES 299 10.1 REACTION CHANNELS 299 10.2
SCATTERING MATRIX FOR MANY-CHANNEL REACTIONS 200 10.3 DETAILED BALANCE
202
10.4 CROSS SECTIONS FOR SLOW PARTICLES 204 10.5 THRESHOLDS AND UNITARITY
206 10.6 ISOLATED RESONANCE; EXPONENTIAL AND NON-EXPONENTIAL DECAY 209
10.7 QUANTUM ZENO EFFECT 210
10.8 RESONANCE CROSS SECTION 225 10.9 UNITARITY AND SUPER-RADIANCE 227
10.10 ANGULAR MOMENTUM AND PARITY 228
10.11 NARROW RESONANCE AS A COMPOUND SYSTEM 229 10.12 INTERFERENCE OF
RESONANCE AND POTENTIAL SCATTERING 222
11 TOWARDS RELATIVISTIC QUANTUM MECHANICS 225 11.1 LIMITATIONS OF THE
APPROACH 225 11.2 RELATIVISTIC UNITS 226 11.3 LORENTZ TRANSFORMATION 226
11.4 ENERGY AND MOMENTUM 227 11.5 TENSORS AND NOTATIONS 229 11.6
KLEIN-GORDON EQUATION 231 11.7 CURRENT CONSERVATION 233
IMAGE 4
VIII I CONTENTS
11.8 PARTICLES AND ANTIPARTICLES 234
11.9 ELECTROMAGNETIC FIELD 236 11.10 MINIMAL ELECTROMAGNETIC COUPLING
237 11.11 PHOTOABSORPTION AT HIGHER ENERGIES 240 11.12 NUCLEAR
PHOTOEFFECT 242 11.13 ESTIMATES OF PROCESSES IN QED 244
12 DIRAC EQUATION: FORMALISM 249 12.1 INTRODUCING THE DIRAC EQUATION 249
12.2 COVARIANT FORM AND ALGEBRA 251 12.3 CURRENT 253 12.4 CHARGE
CONJUGATION 254 12.5 RELATIVISTIC TRANSFORMATIONS 256 12.6 SPIN OPERATOR
258 12.7 BILINEAR COVARIANTS 260
13 DIRAC EQUATION: SOLUTIONS 265 13.1 FREE MOTION 265 13.2 DIRAC SEA 266
13.3 EXPLICIT SOLUTIONS 267
13.4 COMPLETE SET OF SOLUTIONS 270 13.5 PAULI EQUATION 273 13.6 SECOND
ORDER EFFECTS 274 13.7 CENTRAL FIELD 276
13.8 COULOMB FIELD 279 13.9 STATIC UNIFORM MAGNETIC FIELD 283
14 DISCRETE SYMMETRIES, NEUTRINO AND KAONS 285 14.1 PARITY
TRANSFORMATION FOR A DIRAC PARTICLE 285 14.2 TIME-REVERSAL
TRANSFORMATION 287 14.3 CVT TRANSFORMATION 288 14.4 MASSLESS PARTICLES
289 14.5 NEUTRINOS IN THE MASSLESS LIMIT 292 14.6 PARITY
NON-CONSERVATION REVISITED 293
14.7 NEUTRINO OSCILLATIONS 295 14.8 MAJORANA NEUTRINOS 297 14.9
STRANGENESS 299
14.10 NEUTRAL KAONS AND CP-PARITY 300 14.11 NEUTRAL KAONS AND QUANTUM
REGENERATION 303
15 IDENTICAL PARTICLES 307 15.1 INDISTINGUISHABLE PARTICLES 307 15.2
PERMUTATIONAL SYMMETRY 308 15.3 BOSONS AND FERMIONS 320
15.4 WAVE FUNCTIONS OF NONINTERACTING PARTICLES 312 15.5 TWO-NUCLEON
STATES 315 15.6 SCATTERING OF IDENTICAL PARTICLES 324
IMAGE 5
CONTENTS I IX
15.7 INTENSITY INTERFEROMETRY 328
16 ISOSPIN 331
16.1 INTRODUCING ISOSPIN 332 16.2 ISOSPIN INVARIANCE 333 16.3 ISOSPIN OF
MANY-BODY SYSTEMS 334 16.4 ISOSPIN AND SPACE-SPIN SYMMETRY 336 16.5 A
GLIMPSE OF A MORE GENERAL PICTURE 338 16.6 RELATIONS BETWEEN CROSS
SECTIONS 340
17 SECONDARY QUANTIZATION 345 17.1 OCCUPATION NUMBER REPRESENTATION 345
17.2 INTRODUCTION TO SECONDARY QUANTIZATION 347 17.3 BOSE-STATISTICS 348
17.4 FERMI-STATISTICS 350 17.5 ALGEBRAIC RELATIONS 351 17.6 ONE-BODY
OPERATORS 352 17.7 TWO-BODY OPERATORS 356 17.8 INTERPARTICLE INTERACTION
IN THE PLANE-WAVE BASIS 357 17.9 INTERPARTICLE INTERACTION IN A FINITE
SYSTEM 359
18 ATOMIC AND NUCLEAR CONFIGURATIONS 363 18.1 INDEPENDENT PARTICLE
APPROXIMATION 363 18.2 ADDING ROTATIONAL INVARIANCE 364 18.3
MANY-PARTICLE CONFIGURATIONS 366
18.4 EXCHANGE INTERACTION 370 18.5 TWO-ELECTRON SYSTEM 372 18.6 HELIUM
ATOM: OPTICAL SPECTRUM 375 18.7 HUND'S RULES 376 18.8 PARTICLE-HOLE
SYMMETRY 378 18.9 SHELL STRUCTURE 380
19 FERMIONS 383 19.1 IDEAL FERMI-GAS 383 19.2 SPIN PARAMAGNETISM 388
19.3 ORBITAL DIAMAGNETISM 392 19.4 INTRODUCING MEAN FIELD 393 19.5
STATISTICAL MODEL 395 19.6 SCREENING IN THE ELECTRON GAS 398
19.7 HARTREE-FOCK APPROXIMATION 399 19.8 SPATIALLY UNIFORM SYSTEM 402
19.9 COULOMB GAS 404 19.10 DENSITY FUNCTIONAL THEORY 406
20 COLLECTIVE EXCITATIONS 409 20.1 LINEAR CHAIN 409 20.2 PHONONS 423
IMAGE 6
X I CONTENTS
20.3 PHONON MODES 425
20.4 SPIN WAVES 418 20.5 PARTICLE-HOLE EXCITATIONS 424 20.6 DENSITY
FLUCTUATIONS 426 20.7 RANDOM PHASE APPROXIMATION 428 20.8
ELECTRON-PHONON INTERACTION 429
21 BOSONS 433
21.1 BOSE-EINSTEIN CONDENSATION 433 21.2 CONDENSATE AS A RESERVOIR;
CHEMICAL POTENTIAL 435 21.3 WEAKLY NON-IDEAL GAS 437 21.4 PHONONS 439
21.5 SUPERFLUIDITY 442 21.6 CANONICAL TRANSFORMATION 442 21.7 PHONONS AS
DENSITY WAVES 445 21.8 LOCAL DENSITY APPROXIMATION 447
21.9 NON-UNIFORM GAS 450
22 FERMION PAIRING AND SUPERCONDUCTIVITY 453 22 A PAIRING 453
22.2 PAIRS AND SENIORITY 455 22.3 MULTIPOLE MOMENTS IN THE SENIORITY
SCHEME 458 22.4 DEGENERATE MODEL AND QUASISPIN 459
22.5 CANONICAL TRANSFORMATION 462 22.6 BCS THEORY AND TRIAL WAVE
FUNCTION 466 22.7 ENERGY MINIMIZATION 467 22.8 ENERGY GAP 469
22.9 EXCITATION SPECTRUM 473 22.10 CONDENSATION ENERGY 477 22.11
TRANSITION AMPLITUDES 478
23 DENSITY MATRIX 481 23.1 MIXED STATES AND DENSITY MATRIX 481 23.2
PROPERTIES OF THE DENSITY MATRIX 482 23.3 THERMAL EQUILIBRIUM 486
23.4 POLARIZATION DENSITY MATRIX 489 23.5 APPLICATION OF SCATTERING 493
23.6 ENSEMBLE ENTROPY 496 23.7 EVOLUTION OF THE DENSITY MATRIX 498
23.8 LINEAR RESPONSE REVISITED 500 23.9 ELECTRIC CONDUCTIVITY 501
24 QUANTUM CHAOS 505 24.1 CLASSICAL AND QUANTUM CHAOS 505 24.2 LOCAL
SPECTRAL STATISTICS: POISSON DISTRIBUTION 508 24.3 GAUSSIAN ORTHOGONAL
ENSEMBLE 512 24.4 LEVEL SPACING DISTRIBUTION 514
IMAGE 7
CONTENTS I XI
24.5 GOE AND INFORMATION 517
24.6 UNIVERSALITY CLASSES 518 24.7 SEMICIRCLE LAW 521 24.8 CHAOTIC
EIGENFUNCTIONS 527 24.9 COMPLEXITY AND INFORMATION ENTROPY 531 24.10
PORTER-THOMAS AND RELATED DISTRIBUTIONS 533
25 QUANTUM ENTANGLEMENT 535 25.1 ENTANGLEMENT 535 25.2 TELEPORTATION 536
25.3 MATHEMATICS OF ENTANGLEMENT 538 25.4 QUANTUM BELL INEQUALITIES 541
25.5 EPR(B) PARADOX AND HIDDEN VARIABLES 543 25.6 EXPERIMENTAL TESTS 546
25.7 DECOHERENCE AND MEASUREMENT PARADOX 547
REFERENCES 552
FURTHER READING 555
INDEX 563 |
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author | Zelevinskij, Vladimir G. 1937- |
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institution | BVB |
isbn | 9783527409846 |
language | English |
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spelling | Zelevinskij, Vladimir G. 1937- Verfasser (DE-588)144005247 aut Quantum physics 2 From time-dependent dynamics to many-body physics and quantum chaos Vladimir Zelevinsky Weinheim Wiley-VCH 2011 XIV, 566 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Physics textbook (DE-604)BV036780871 2 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020720924&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Zelevinskij, Vladimir G. 1937- Quantum physics |
title | Quantum physics |
title_auth | Quantum physics |
title_exact_search | Quantum physics |
title_full | Quantum physics 2 From time-dependent dynamics to many-body physics and quantum chaos Vladimir Zelevinsky |
title_fullStr | Quantum physics 2 From time-dependent dynamics to many-body physics and quantum chaos Vladimir Zelevinsky |
title_full_unstemmed | Quantum physics 2 From time-dependent dynamics to many-body physics and quantum chaos Vladimir Zelevinsky |
title_short | Quantum physics |
title_sort | quantum physics from time dependent dynamics to many body physics and quantum chaos |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020720924&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV036780871 |
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