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Martin P.A. — Many-body problems and quantum field theory: an introduction
Martin P.A. — Many-body problems and quantum field theory: an introduction

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Название: Many-body problems and quantum field theory: an introduction

Автор: Martin P.A.

Аннотация:

The book gives an introduction to the concepts and methods of many-body problems and quantum fields for graduate students and researchers. The formalism is developed in close conjunction with the description of a number of physical systems: cohesion and dielectric properties of the electron gas, superconductivity, superfluidity, nuclear matter and nucleon pairing, matter and radiation, interaction of fields by particle exchange and mass generation. Emphasis is put on analogies between the various systems rather than on advanced or specialized aspects, with the purpose of illustrating common ideas in different domains of physics. The exposition is self-contained and displays in a coherent way all details of derivations starting from a basic knowledge of quantum mechanics and classical electromagnetism.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2nd

Год издания: 2004

Количество страниц: 441

Добавлена в каталог: 31.10.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Ambiguity, sign ambiguity      180
Annihilation, operator      93
Antimatter      300
Antiparticle, particle-antiparticle symmetry      298
Approximation, random phase (RPA)      150 422
BCS theory      161 174 217
Bethe — Weizsaecker model      206
Bethe — Weizsaecker semi-empirical formula      204
Binding, energy of the nucleus      204
Bogolioubov transformation      182 218 256
Bose — Einstein and cold atoms      70
Bose — Einstein, condensation      69 70 119 161 233 254 255
Boson      61
Boundary conditions periodic      26 55
Bremsstrahlung      378
Canonical transformation      6 182 218 256
Chain linear harmonic chain      42 265
Chandrasekhar limit      85
Charge, charge density      148
Charge, conjugation      299
Charge, density      19 133 298 320
Charge, induced charge      142 148
Charge, oscillations      142 148
Chronological, contraction      362 364
Chronological, order      352
Coherent, state      10 98 278
Cold atoms and Bose — Einstein condensation      70
Compton effect      375 379 381
Condensation, Bose — Einstein condensation      69 70 119 161 233 254 255
Condensation, cold atoms      70
Configuration typical configurations      248
Conjugation charge conjugation      299
Contraction      18 100 183 219
Contraction, chronological contraction      362 364
Cooper pair      182 192 347
Coordinates normal coordinates      43
Coulomb, correlation energy      140 428
Coulomb, gauge      20 379
Coulomb, nucleo-electronic plasma      83
Creation operator      92
Cross-section differential cross-section      357 384
Current density      19 166 171 278 298 311 320
Degeneracy temperature of      70
Density, charge      148
Density, charge density      19 133 298 320
Density, current      166 171
Density, current density      19 278 298 311 320
Density, energy      19
Density, operator      114
Density, particle density      103
Depth penetration depth      165
Deuterium      202
Diagram, Feynman diagram      344 369
Dielectric, function      146 425
Drop, liquid drop model      205
Dwarf white dwarf      83
Dyson, equation      396
Dyson, series      352
Effect, Compton effect      375 379 381
Effect, isotopic effect      175
Effect, Meissner effect      165 316
Effect, thermomechanical effect      236
Elastic, modulus tensor      34
Electric, field (classical)      19
Electric, quantum electric field      268
Electron, electron-hole pair      77 155 177
Electron, hole      77
Emission, induced      283
Emission, spontaneous      283
Energy, binding energy of the nucleus      204
Energy, Coulomb correlation energy      140 428
Energy, density energy      19
Energy, Fermi energy      76
Energy, flux (of the field)      19
Energy, gap      174
Energy, Hartree — Fock energy      132 137
Energy, insertion      393
Energy, pairing energy      207
Energy, self-energy      375 395 420 422
Energy, separation energy      207
Energy, zero energy point      269
Euler — Lagrange equations      305
Exchange, contribution      113
Exchange, degeneracy      61
Exclusion, principle      65
Fermi, energy      76
Fermi, free Fermi field      320
Fermi, sphere      75
Fermi, wavenumber      75
Fermion      61
ferromagnetism      79
Feynman, diagram      344 369
Feynman, rules      373 417
Field, electric field (classical)      19
Field, free charged field      297
Field, free Fermi field      320
Field, free massive vector field      313
Field, free quantum field of photons      268
Field, free scalar field      290 380
Field, gauge field      312 318
Field, magnetic field (classical)      19
Field, quantum electric field      268
Field, quantum magnetic field      268
Fluctuations, vacuum fluctuations      270
Flux, energy flux (of the field)      19
Flux, quantization of flux      173
Fluxoid      173
Fock, space      90
Forced, oscillator      15 278
Friedel, oscillations      154
Function, dielectric function      146 425
Function, Jordan and Pauli commutation function      274
Function, response function      146
Function, retarded Green function      335
Gap, energy gap      174
Gauge, Coulomb      22
Gauge, Coulomb gauge      20 22 379
Gauge, field      312 318
Gauge, Lorentz gauge      20
Gauge, principle      312
Gauge, restricted gauge transformation      21 313
Gauge, transformation      20 309
Gauge, transformation of the first kind      107 298
Generation, mass generation      314
Green, one-body Green function      401
Green, retarded Green function      335
Hamiltonian, Hubbard Hamiltonian      123
Hamiltonian, reduced Hamiltonian      185 219
Harmonic, linear harmonic chain      42 265
Hartree — Fock      128
Hartree — Fock, energy      132 137
Helicity      33
Hermite, polynomials      9
Higgs, particle      317
Higgs, phenomenon      314
High-${T}_{c}$ superconductors      163
Hole electron hole      77 322
Hubbard Hamiltonian      123
Insertion, energy insertion      393
Insertion, polarization insertion      424
Insertion, self-energy insertion      395 420 422
Interaction, representation      351
Interaction, spin-orbit interaction      203 210
Isobars      206
Isobars, even-even isobars      206
Isobars, odd isobars      206
Isobars, odd-odd isobars      206
Isotopic, effect      175
Jellium      134 325
Jordan and Pauli commutation function      274
Klein — Gordon equation      290 313
Lamb shift      271 388
Lame coefficients      35
Limit, thermodynamic limit      55
London, equations of (superconductivity)      166
Longitudinal, component (vector field)      22 36
Lorentz, condition      21
Lorentz, force      19
Lorentz, gauge      20
magic numbers      208
Magic, doubly magic nucleus      212
Magic, nucleus      212
Magnetic, field (classical)      19
Magnetic, quantum-magnetic field      268
Mass, generation      314
Mass, reduced mass      209
Mass, renormalization      387
Matrix, one-body reduced density matrix      115 403
Matrix, scattering matrix      356
Matrix, two-body reduced density matrix      117
Meissner, effect      165 316
Microcausality, principle      275 291
Neutron, star      83
Normal, coordinates      43
Normal, product      17 100 362
Nucleus, binding energy of the nucleus      204
Nucleus, doubly magic nucleus      212
Nucleus, magic nucleus      212
Nucleus, rotational state of deformed nucleus      228
Nucleus, spherical nucleus      213
Number, Fermi wavenumber      75
Number, magic numbers      208
Number, occupation number      66
Number, occupation number states      66
Observable, one-body observable      60
Observable, two-body observable      60
Operator, annihilation operator      93
Operator, creation operator      92
Operator, density operator      114
Operator, particle-number operator      91 102 107
Operator, permutation operator      60
Operator, scattering operator      356
Order, chronological order      352
Oscillations, charge oscillations      142 148
Oscillations, Friedel's oscillations      154
Oscillator, forced oscillator      15 278
Oscillator, harmonic oscillator      6
Pair, Cooper pair      182 192 347
Pair, electron-hole      77 155 177
Pairing, energy      207
Particle, density      103
Particle, number operator      91 102 107
Particle, particle-antiparticle symmetry      298
Particle, virtual particles      296
Penetration, depth      165
Phonon      41
Phonon, free quantum field of photons      268
Photon      30 267 275 278 280 379
Plasma, Coulomb nucleo-electronic plasma      83
Plasmon      144 148 154
Polarization insertion      424
Polarization. vacuum polarization      375 389
Polarization. vector      27
Potential, effective potential      143
Potential, exchange potential      132
Potential, mean potential      132
Potential, spin-orbit potential      210
Potential, velocity potential      228
Potential, Yukawa potential      292
Poynting, vector      19 30
Principle, exclusion principle      65
Principle, gauge principle      312
Principle, microcausality principle      275 291
Principle, of symmetrization      61
Product, normal product      17 100 362
Product, tensor product      58
Product, Wick product      17 101 363
Propagator, causal propagator      335 364
Quantization, of flux      173
Quantization, second quantization      89
Quasi-particle      41 190
Radiative processes      379
Radius, electromagnetic radius      384
Random phase approximation      150
Renormalization, mass renormalization      387
Representation, interaction representation      351
Response, function      146
Rotator, rigid rotator      229
Scalar, free scalar field      290 380
Scattering, matrix      356
Scattering, operator      356
screening      142
Screening, length      144 154
Screening, perfect screening      142 144 147 153
Second quantization      89
Self-energy      375 395 420 422
Self-energy, insertion      395 420 422
Seniority      224
Separation, energy      207
Shell      211
Sign ambiguity      180
Sound, second sound      244
Space, Fock space      90
Sphere, Fermi sphere      75
Spin-orbit, interaction      203 210
Spin-orbit, potential      210
Squeezed, state      49
Star, neutron star      83
State, coherent state      10 98 278
State, rotational state of deformed nucleus      228
State, Squeezed state      49
State, vacuum state      90 315
Subshell      211
Superconductivity      161
Superconductivity, London equations of      166
Superconductors, higri-${T}_{c}$      163
Superfluidity      234
Symmetrization, principle of      61
Symmetry, particle-antiparticle symmetry      298
Temperature, degeneracy      70
Tensor, elastic modulus modulus      34
Tensor, product      58
Tensor, strain tensor      34
Tensor, stress tensor      34
Thermodynamic, limit      55
Transformation, Bogolioubov transformation      182 218 256
Transformation, canonical transformation      218 256
Transformation, gauge transformation      20 309
Transformation, gauge transformation of the first kind      107 298
Transformation, restricted gauge transformation      21 313
Transverse, component (vector field)      22 36
Two-fluid model      240
Uncertainty relations      9
Vacuum, fluctuations      270
Vacuum, polarization      375 389
Vacuum, state      90 315
Variational method      127 176 217
Vector, displacement vector      34
Vector, polarization vector      27
Vector, Poynting      30
Vector, Poynting vector      19
Velocity, potential      228
Vertex      344 369 381
Virtual particles      296
Vortices      242
Wick, product      17 101 363
Wick, theorem      101 183 191 219 362 410
Wigner crystal      135
Yukawa potential      292
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