Lipparini E. — Modern many-particle physics: atomic gases, quantum dots and quantum fluids :: Электронная библиотека попечительского совета мехмата МГУ

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Lipparini E. — Modern many-particle physics: atomic gases, quantum dots and quantum fluids

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Название: Modern many-particle physics: atomic gases, quantum dots and quantum fluids

Автор: Lipparini E.

Аннотация:

An important part of this book is devoted to the description of homogenous systems, such as electron gas in different dimensions, the quantum well in an intense magnetic field, liquid helium and nuclear matter. However, the most relevant part is dedicated to the study of finite systems: metallic clusters, quantum dots, the condensate of cold and diluted atoms in magnetic traps, helium drops and nuclei. The book focuses on methods of getting good numerical approximations to energies and linear response based on approximations to first-principles Hamiltonians. These methods are illustrated and applied to Bose and Fermi systems at zero and finite temperature.

Modern Many-Particle Physics is directed towards students who have taken a conventional course in quantum mechanics and possess a basic understanding of condensed matter phenomena.

Язык:

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2004

Количество страниц: 445

Добавлена в каталог: 05.09.2014

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Предметный указатель

Pseudo-potential      42
Quadrupole mode      385 386 390 392 401 404 411
Quadrupole operator      385
Quadrupole surface vibrations      379 381
Quantum depletion      257
Quantum dots      42 92 127
Quantum dots in a magnetic field      108 131 151
Quantum liquids      24 29 198 254 337 362
Quantum pressure      52
Quantum rings      165
Quantum well      299 300
Quantum wires      49
Quasi-one-dimensional plasmon      250
Quasiparticle current conservation      229
Quasiparticle density of states      25 227 244
Quasiparticle distribution function      23
Quasiparticle effective mass      27
Quasiparticle effective mass in 2D      29
Quasiparticle number conservation      26 228
Quasiparticle properties      350
Quasiparticle spin distribution function      28
Quasiparticles      22
Raman scattering      299 311
Reid potential      76
Renormalization of the coupling constant      342 343
Residual interaction      35 261
Residues in the poles of the RPA response      242
Response function      195
Response function and sum rules      202
Response function at finite temperature      206
Restoring force      380 392 396—399 403 415 417 420
Rigid value of the moment of inertia      384
Ripplons      377
Roton minimum      252 254 300 306
RPA commutator      286 287
RPA correlation energy      50 51 340 341
RPA correlation energy in finite size systems      341
RPA correlations      51 78 91 287 411
RPA correlations for a diluted Boson gas      341
RPA dispersion coefficient      249
RPA ground state      266
RPA Hamiltonian      286
RPA response function      241
RPA self-energy      352
RPA sum rules      288
RPAE density response      295
RPAE equations      262 281
RPAE response function      296
Saturation density      113 114 377
Saturation point      75
Scattering length      53 101 145 253 256 341 343
Scissor mode      387 392 404
Scissor mode in metal clusters      402
Scissor mode in nuclei      404
Scissor mode in quantum dots      387 402
Scissor mode in the vibrating potential model      412
Scissors mode for Bosons      383
Scissors mode for Fermions      402
Screened Coulomb potential      299
Screened response function      298
Screened vertex function      351
Screening length      299
Self-consistent field      117
Semiclassical limit      244 346
Separable effective interaction      411
Shell structure      100 120 121 133 144
Single-particle contribution to the, inversely energy-weighted sum rule      358
Single-particle density of states      157 221 298
Single-particle Green function      351
Solubility      123
Sound attenuation      232
Sound dispersion      233
Sound equation      28
Sound velocity      15 28 29 210 230 232 234 253 356 358 377
Specific heat      23 28—30 61 252
Spin current density      364
Spin density operator      303
Spin density response function      303 313 361
Spin density waves      127 285 407
Spin instability of the electron gas      320

Spin-orbit      147
Spintronics      147
Static dipole polarizability      42 276
Static field factor      345
Static form factor      20 211 338 347
Static form factor of the electron gas in 2D      349
Static polarizability      203 210 220 253
Static response function      344
Static response function in ${}^{4}He$       252
Statistical error      177
Statistical mixture      57
STLS correlation energy      347
STLS theory      75 345
Stochastic pseudo-dynamics      179
Structure function      313 321
Sum rule cubic in energy      210 308 361
Sum rule cubic in energy and collective potential energy      398
Sum rule cubic in energy and many-particle excitations      361
Sum rule cubic in energy for the centre-of-mass operator      271
Sum rule cubic in energy for the non-interacting system      246
Sum rule cubic in energy for the quadrupole operator      401
Sum rule cubic in energy for the spin-density operator      361
Sum rules      202
Sum rules and hydrodynamic and elastic models      398
Sum rules and mean collective energies      309 354 355 397
Sum rules and vortices      390
Sum rules for the 2D Landau theory      237
Sum rules for the 3D Landau theory      229
Superfluid      198 252 355 384
Surface energy      413
Surface modes      378 381 401 413
Surface quadrupole vibrations      414
Surface tension      115 377 380 420
Surface thickness      118
Symmetric gauge      108
Symmetry breaking      127
Symmetry potential      126 158 283
Symmetry restoration      286
TDLSDA longitudinal response function      278
TDLSDA transverse response function      283
Thermodynamic limit      255
Thermodynamic limit for confined systems      13
Thomas — Fermi approximation      101 115 299 385
Thomas — Fermi equations      100
Thouless theorem      56 261
Time-dependent Gross — Pitaevskii equations      256 257
Time-dependent Hartree equations      239
Time-dependent Hartree — Fock equations      238
Time-dependent Kohn — Sham equations      277
Time-reversal invariance      375 393
Tomonaga — Luttinger liquid      250
Transition density      393 396
Transition matrix      178
Translational invariance      27 29 47 127 240 364 378 399
Transport equation      24
Transverse correlation function      284
Transverse current response      212
Transverse dipole excitations      320
Transverse response function under high magnetic field      309
Trial function      183 188 192
TRK sum rule      204
Two-body density of the MDD state      137
Two-par tide distribution function      346
Uncompressible fluid      380 416 417
Unit radius      118
Velocity field      380 393 403 417
Vertex function      296
Vertex function in RPA      298
Vertex function in TDLDA      298
Virial theorem      6 142
Visco-elastic model      233
Volume excess parameter      123
Vortices      388 390
Walkers      187
Wigner crystallization      50
Wigner — Seitz radius      40 49 249 306 348
Zeeman interaction energy      109
Zero sound      225 232 235 237 245 352 392 398
Zero-divergence excitations      395
Zero-mass limit      186

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