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Economou E.N. — Green's Functions in Quantum Physics
Economou E.N. — Green's Functions in Quantum Physics

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Название: Green's Functions in Quantum Physics

Автор: Economou E.N.

Аннотация:

The new edition of a standard reference will be of interest to advanced students wishing to become familiar with the method of Green's functions for obtaining simple and general solutions to basic problems in quantum physics. The main part is devoted to the simplest kind of Green's functions, namely the solutions of linear differential equations with a -function source. It is shown that these familiar Green's functions are a powerful tool for obtaining relatively simple and general solutions of basic problems such as scattering and boundlevel information. The bound-level treatment gives a clear physical understanding of "difficult" questions such as superconductivity, the Kondo effect, and, to a lesser degree, disorder-induced localization. The more advanced subject of many-body Green's functions is presented in the last part of the book. This third edition is 50% longer than the previou and offers end-of-chapter problems and solutions (40% are solved) and additional appendices to helpit is to serve as an effective self-tutorial and self-sufficient reference. Throughout, it demonstrates the powerful and unifying formalism of Green's functions across many applications, including transport properties, carbon nanotubes, and photonics and photonic crystals.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: third edition

Год издания: 2006

Количество страниц: 477

Добавлена в каталог: 05.03.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\delta$-function singularity      114
$\sigma$-model, nonlinear      224
1BZ (first Brillouin zone)      85—87
A15 compound      80
Absorption      162 171 239
Absorption, cross section      162 171
Absorption, optical      100 210
Acceleration      120
Aharonov — Bohm effect      207 208 241
Amplitude      83 115
Amplitude, current      372
Amplitude, exponential decay      230
Amplitude, fluctuation      240
Amplitude, reflection      217 237 370 373 429
Amplitude, reflection, current      372
Amplitude, scattering      46 65 67 73 159 161 171 319 320
Amplitude, scattering, forward      66
Amplitude, transmission      217 237 370 373 429
Amplitude, transmission current      217 218
Amplitude, transmission, current      372
Analytic behavior      353
Analytic continuation      9 117 276—278 283
Anderson localization      240 243
Anderson model      201
Anderson transition      212 212
Annihilation operator      250 252 255 383
Annihilation operator, phonon      258
Anti-ferromagnetic ordering      328
Anticommutation relation      252 381
Anticommutator      35 36
Antiferromagnetic coupling      134
Antiferromagnetic phase      329 330
Approximation, Born      65 75 131
Approximation, Hartree      285 288 328—331
Approximation, Hartree — Fock      289 303 307 334
Approximation, independent-particle      183
Approximation, ladder      319 321 322
ATA (average t-matrix approximation)      152 153 154 163 164 168
Atomic orbital      79
Atomic orbital, hybrid      79 104
Attraction, phonon mediated      131 132
Average      150
Average t-matrix approximation (ATA)      152
Average, energy      289 330
Average, t-matrix      153
Average, thermal      324
Ballistic motion      205
Band      78 80 91 94 96 101 104 145
Band, conduction      126 210
Band, conduction, tail      210
Band, edge      46 69 78 84 89 91 96 97 99 104 119 121 122 124 136 137 170 210 353
Band, index      78 104
Band, tail      157
Band, valence      126 210
Band, valence, tail      210
Bandwidth      84 85 89 96 101
BC (boundary condition)      345
bcc (body-centered cubic)      103
BCs      130 139
BE (Boltzmann’s equation)      363
Bessel equation      349
Bessel function      12 45 118
Bessel function, modified      45 349
Bessel function, spherical      346
Bethe lattice      98—102 145 147 360 361
Bethe lattice, double spacing periodic case      98
Bethe — Salpeter equation      320
Binary alloy      150 164 170
Binary case      157
binary distribution      165—167 201
Binding energy      128 129 135 139
Bloch, eigenfunction      355
Bloch, function      78 138
Bloch, ket      342
Bloch, wave      115 394
Bloch’s, theorem      70
Body-centered cubic (BCC) lattice      103
Bohr radius      313
Boltzmann’s equation      177 196 197 363
Boltzmann’s equation, linearized      365
BOND      164
Born approximation      65 75 131
Bose condensation      258 265 300
Bose function      257
Bose thermal equilibrium distribution      263
Bose — Einstein distribution      262
Boson      252 254 381
Bosonic density operator      306
Bound      137
Bound pair      128 130
Bound state      74 75
Boundary condition      3 11 15 41 345
Boundary, natural      6 15 233
Branch cut      6 9 15 22 42 44 57 72 117 232
Brillouin zone, first      78 84—87 90 94 102 105
bulk modulus      85 158 159 171 385
Canonical transformation      276 306
Capacitance      239
Cartesian coordinate      25 173
Cauchy’s Theorem      114
Causality      174
Cayley tree      98 99 126 140
Cayley tree, double spacing periodic case      98
Center of mass      127
Cermet topology      158
Channel      217 218
Characteristic length      225
Charge density      8
chemical potential      175 219 242 364 436
Chronological product      298
Classical wave      238
Cluster      157 165 168
Cluster, scattering      165
Cluster-Bethe-lattice      101
Coefficient, diffusion      25 193 197 204 208 220 240
Coefficient, Lame      158
Coefficient, reflection      125 170 215 371
Coefficient, transmission      125 170 215—217 371 372
Coherent potential approximation (CPA)      141 153 169
Collective (plasma) oscillation      318
Commutation relation      252 381
Commutator      35 36
Commutator, current-current      273
Completeness      355
Completeness of a set      4
Completeness, relation      338 342 389
Complex propagation constant      155
Concentration      37 175 177
condensate      128
Conductance      216 218 220 221 239 242 437
Conductance of nanotube      240
Conductance, Hall      239
Conduction, band      126 210
Conduction, band, tail      210
Conductivity      126 173 189 193 204 210 212 213 216 222 240 241 244 273 364
Conductivity, AC      175
Conductivity, DC      175 209
Conductivity, electrical      173 195 197
Conductivity, local      179
Conductivity, metallic      199
Conductivity, post-CPA correction      192
Conductivity, tensor      174 367
Conductivity, thermal      25
Conductor, perfect      180 197 239
Conductor, quasi 1-d      218
Conductor, quasi-1-d      243
Configuration      150
Conjugate momentum      385
Connected diagram      294
Connection of the notation      269
Conservation of probability      371
Constant, complex propagation      155
Constant, diffusion      37
Constant, Euler’s      69 130
Constant, propagation      161 162
Contact      217 218
Contact, resistance      217
Continuation, analytic      9 117 276—278 283
Continued fraction method      166
Continuum      145 169
Contribution, diamagnetic      179 197
Contribution, paramagnetic      179
Convergence      234
Cooper pair      111 322—324
Coordinate, Cartesian      25 173
Coordinate, relative      127
Copper oxide      131
Correction, post-CPA      194 199 201
Coulomb blockade      240
Coulomb force      313
Coulomb interaction, energy      384
Coulomb interaction, screened      176
Coulomb potential, attractive      66 67
Coulomb repulsion      132
Coulomb repulsion, screened      132
Coupled pendula      81 83 101 200
Coupled pendula, equations of motion      81
Coupling limit, strong      318
Coupling limit, weak      318
Coupling, magnetic      330
Covalent solid      79
CPA      141 153 154 156—158 160 162—168 170 186 189 195 210 245
CPA for classical wave      158
CPA, homomorphic      164
CPA, muffin-tin      164
Creation operator      250 252 255 383
Creation operator, phonon      258
Critical dimensionality      201 213 242
Critical energy      235
critical exponent      50 223
Critical temperature      130 327
Critical value      138 223
Critical voltage      239
Cross section      115 163 177
Cross section, absorption      162 171
Cross section, differential      65 66 75
Cross section, differential, inelastic      176
Cross section, extinction      162
Cross section, scattering      115 118 125 159 162 171
Cross section, total      66 73 75 161 162 171 436
Crossover      134
Crystal cell, primitive      79
Crystal wavevector      104
CSI      100
Current      219
Current reflection amplitude      236
Current transmission amplitude      236 242
Current, amplitude      372
Current, density      173
Current-current commutator      273
Cutoff energy      130 134 139
Cutoff length, upper      199 205 240
Cyclotron radius      200 240
Debye frequency      131
Debye wave number      386
Decay length      75
Defect      126
Degeneracy      42 112
Delta function      337
Delta function, derivative      337
Delta function, in cartesian variables      338
density      158 161 171 270 271
Density of particles      282
Density of states      7 16 42 46 51 72 78 91 104 157 166 167 211 268 433
Density of states, generalized      275 281
Density, electronic      273
Density, fluctuation      128
Density, high      312
Density, low      313 319
Density, matrix      180
Density, wave      281 312
Density, wave, elementary      311
Derivative, logarithmic      220
Device, double-barrier      239
Devil’s staircase      52
Diagram      142 144 307
Diagram, connected      294
Diagram, Feynman      293 297 298 300
Diagram, ladder      319
Diagram, maximally crossed      191 192
Diagram, phase      327 330
Diagram, ring      316 317
Diagram, skeleton      301 303
Diagrammatic representation      169
Dielectric function      283 305 334
Dielectric function, retarded      305
Differential cross section      65 66 75
Differential equation      18 285
Differential equation, homogeneous, second-order      26
Differential equation, inhomogeneous      3
Differential equation, inhomogeneous, second-order      26
Differential equation, second-order      27 34
diffuse      220
Diffusion      25 239
Diffusion, classical      224
Diffusion, coefficient      25 193 197 204 208 220 240
Diffusion, constant      37
Diffusion, equation      25 37
Diffusion, function      174
Diffusion, length      200 240
Diffusion, length, inelastic      222
Digamma function      207
Dilute limit      156
Dimensionality, critical      75 201 213 242
Dirac notation, inner product      343
Dirac’s notation, bra      4 5 19 42 341
Dirac’s notation, inner product      341
Dirac’s notation, ket      4 5 19 42 341
Dirichlet function      337
Discontinuity      278
Disorder      156 173 200 235
Disorder, diagonal      164 168
Disorder, diagonal, binary      244
Disorder, environmental      151 165 168
Disorder, limit, weak      229
Disorder, off-diagonal      151 164 165 168
Disorder, strong      221
Disorder, topological      151
Displacement, operator      385
Displacement, vector      388
Dissipation of energy      273
Distribution, binary      165—167 201
Distribution, Bose thermal equilibrium      263
Distribution, Bose — Einstein      262
Distribution, Fermi      127 129 139 178 183
Distribution, Fermi thermal equilibrium      263
Distribution, Fermi — Dirac      262
Distribution, Gaussian      170
Distribution, Lorentzian      201
Distribution, rectangular      150 201
Divergence      209 234
Divergence, logarithmic      69 314
DOS      44—46 48 49 51 52 58 91 94 96 97 99 103 104 106 113 114 118 120—125 127—129 132 139—141 150 156 157 168 170 173 175 177 193 210 245 323 329 428
DOS (density of states)      7
DOS for bcc      423
DOS, average      154 228
DOS, direct process      135
DOS, direct-process      134
DOS, generalized      263 264
DOS, indirect process      135
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