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Richter K. — Semiclassical theory of mesoscopic quantum systems
Richter K. — Semiclassical theory of mesoscopic quantum systems

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Название: Semiclassical theory of mesoscopic quantum systems

Автор: Richter K.

Аннотация:

This book describes manifestations of classical dynamics and chaos in the quantum properties of mesoscopic systems. During the last two decades mesoscopic physics has evolved into a rapidly progressing and exciting interdisciplinary field of physics. The first part of the book deals with integrable and chaotic classical dynamics with particular emphasis on the semiclassical description of spectral correlations, thermodynamic properties and linear response functions. The main part shows applications to prominent observables in the mesoscopic context.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2000

Количество страниц: 223

Добавлена в каталог: 17.10.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Acoustic wave      1
action      20 23 65
Andreev billiard      12
Andreev reflection      12
Antidot, experiment      55
Antidot, finite lattice      68
Antidot, lattice      5 50 57
Area distribution      95
Autocorrelation function      92
Ballistic      8 38 71 147
Ballistic $\sigma$ model      76
Ballistic conductance fluctuations      72
Berry — Tabor trace formula      26 46
Billiard, Andreev      12
Billiard, circular      10 66 129
Billiard, disk      47
Billiard, electron      8
Billiard, elliptic      91
Billiard, ring      97
Billiard, Sinai      6
Billiard, square      82 110 148 180
Billiard, stadium      9
Bohigas — Giannoni — Schmit conjecture      5 191
Bohr — van Leeuwen theorem      11 80
Born approximation, self-consistent      61 141 146
Bouncing-ball magnetism      121
Canonical partition function      203
Chaotic geometry      160 164
Chaotic scattering      64
Chaotic structure      185
Chaotic system      26 40 90
Charging model      168
Coherent backscattering      66 75
Conductance fluctuations, ballistic      72
Conductance fluctuations, chaotic      71
Conductance fluctuations, fractal      71
Conductance, semiclassical approximation      65
Conductivity, classical      57
Conductivity, diagonal      51
Conductivity, Drude      52
Conductivity, frequency-dependent      36 53
Conductivity, Hall      51
Confined system, disorder effects      141
Cooper channel      170
Cooperon      158
Correlation function, disorder      138
Correlation function, spectral      29 137
Correlation function, two-point      29 137 156
Correlation, disorder-induced      137
Correlation, size-induced      137
Coulomb blockade      167
Cyclotron, frequency      84
Cyclotron, motion      8 145
Cyclotron, radius      121
de Haas — van Alphen oscillation      81 86 126 147
Density of states      24 35 93 107
Density of states, local      14
Diagonal approximation      30 67 74 94 159
Diagrammatic framework      158
Diagrammatic perturbation theory      141
Diffraction effect      66
Diffusive dynamics      104 155
Diffusive interacting systems      173
Diffusive quantum dot      177
Diffuson      158
Disorder correlation length      139 145
Disorder potential, smooth      144
Disordered metal      2
Disordered ring      174
Dynamic response function      37 41 44
EBK quantization      26
Ehrenfest time      76
Eigenfunction scar      15
Eikonal approximation      204
Ericson fluctuation      9
Escape rate      68
Excitation gap      13
Far-infrared absorption      46
Fermi energy      12
Fermi function      32
Fermi wavelength      3
Fock contribution      182
Force oscillation      2
Form factor      104 156 157
Fractional quantum Hall regime      147
Free energy      87 89
Frequency-dependent absorption      46
Frequency-dependent conductivity      53
Friedel oscillation      182
Gaussian disorder      142 202 204
Grand canonical potential      32
Green function for electrons in a magnetic field      145
Green function for free particle      22
Green function, finite-temperature      171
Green function, impurity-averaged      140 159
Green function, recursive technique      61
Green function, semiclassical      20 112 159 172
Green function, single-particle      139
Green function, two-particle      143
Green function, Wigner transform      24
Gutzwiller trace formula      26
Hall conductivity      51
Hannay — Ozorio de Almeida sum rule      31 95
Hartree contribution      182
Heisenberg time      30 156
Hikami box      77
Imgaes, method of      112
Impurity potential      141
Interacting systems      185
Interaction, ballistic quantum dots      179
Interaction, contribution to the susceptibility      183
Interaction, coulomb      170
Interaction, diffusive systems      173
Interaction, effect      167
Interaction, screened      181
Kubo formalism      51
Landau diamagnetism      86
Landau level      126 144
Landau susceptibility      85
Landauer conductance      63
Landauer formalism      63
Liapunov exponent      58 77
Linear response      35
Liouville operator      76
Lorentzian line shape      10 68
Magnetic length      145
magnetic moment      83
magnetic susceptibility      11 88 147 161
Magnetization of bulk      147
Magnetoconductivity      53
Magnetoresistance      70
Magnetoresistivity      56
Maslov index      20 22
Matsubara frequency      171
Mean free path, elastic      39 136 203
Mean free path, transport      136 203
Mesoscopic physics      1
Mesoscopic quantum phenomena      5
Mesoscopic regime      4 81
microwave      1
Mixed phase space      28 73
Monodromy matrix      27
Multiple-scattering      14
Nondiagonal channel      184
Normal-superconducting structure      12
Nuclear scattering process      1
Orbital magnetism      11 79 161
Paramagnetic      117
Particle-particle operator      180
Particle-particle propagator      171
Path "of zero length"      141
Periodic orbit      27 53 59 111
Perron — Frobenius operator      31 76
Persistent current      90 170 175
Persistent current of a chaotic system      96
Persistent current of noninteracting rings      129
Persistent current, definition      87
Persistent current, experiment      133
Phase coherence length      69
Phase-coherence length      4
Poincare surfaces of section      57
Poincare — Birkhoff theorem      106
Poisson summation      26 84
Power spectrum of transmission amplitude      66
proximity effect      12 13
Quantized conductance      2
Quantum chaos      2 29
Quantum corral      13
Quantum dot, diffusive      177
Quantum dot, interacting      179
Quantum dot, square      160
Quantum Hall effect      144
Random-matrix theory      3 168
Random-phase approximation      170
Renormalization      175 182 184
Resonant tunneling diode      50
Return probability      156 174
Rough boundary      12
Rydberg atom      1 3
Scanning tunneling microscope      14
Self-energy      39 195
Semiclassical formalism      171
Semiclassical Green function      20 112 159 172
Semiclassical pertubation theory      106
Semiclassical technique      3
Semiclassical trace formula      26
Shell effect      80 115
Shubnikov — de Haas oscillations      8 54
Sinai billiard      6
Single-particle relaxation time      39
Sommerfeld expansion      34
Squid      11
Stationary-phase approximation      64 195
Streda formula      53
Superconductor      12
Superlattice      5 50
Supersymmetry      2
Surface electronic state      14
susceptibility      11 88 147 161 170 178 186
Susceptibility for bulk      87
Susceptibility for chaotic billiards      103
Susceptibility for chaotic rings      100
Susceptibility for perturbed systems      108
Susceptibility for squares      117
Susceptibility, average      117
Susceptibility, canonical      90 202
Susceptibility, definition      83
Susceptibility, disorder- and size-averaged      151
Susceptibility, dynamic      37 46
Susceptibility, grand canonical      202
Susceptibility, interaction contribution      183
Susceptibility, Landau      85
Susceptibility, typical      88
Thermodynamic potential      170
Thomas — Fermi potential      181
Time-dependent transport      167
Transfer operator      28
Transmission amplitude      65
Two-dimensional electron gas      6
Two-particle localization length      168
Universal conductance fluctuations      2 49
Weak localization for chaotic systems      66
Weak localization for finite antidot arrays      69
Weak localization, ballistic      8 76
Weak-localization      9
Weyl part      24
White noise      139
White-noise      158
Wigner transform      24 85
Winding number      58 95 104
Zeeman-splitting      84
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