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Roepstorf G. — Path integral approach to quantum physics
Roepstorf G. — Path integral approach to quantum physics

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Название: Path integral approach to quantum physics

Автор: Roepstorf G.

Язык: en

Рубрика: Физика/Квантовая теория поля/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1984

Количество страниц: 387

Добавлена в каталог: 27.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Action at a distance      208
Action integral      83
Affine connection      303
Ahaxonov — Bohm effect      208
area law      310
Avogadro’s constant      4
Bernoullian random walk      6
Birman — Schwinger operator      127 207
Birman — Schwinger operator trace formula      130 207
Birman — Schwinger principle      127
Bispinor formalism      318—319
Bogoliubov inequality      191
Bogoliubov scalar product      191
Boltzmann weights      171
Boson field theory      217—224
Boson field theory, relation to quantum mechanics      231
Bosons (in solid states)      170
Bound states      126
Box — Muller algorithm      145
Brillouin function      254
Brillouin zone      9 13 179
Brownian bridge      110—112 180 357—358
Brownian bridge, Fourier decomposition      150
Brownian bridge, polygonal approximation      144
Brownian motion      7 21
Brownian motion, dynamical theory      33
Brownian motion, fractional      32
Brownian motion, law of iterated logarithm      182
Brownian motion, most probable path      109
Brownian particle      20 62
Brownian particle, life time      65
Brownian path      7 27
Brownian path, decomposition      111
Brownian path, Hoelder continuity      181
Brownian path, mean position      125
Brownian path, trail of a      8
Brownian tube      62
BRST symmetry      298
Canonical commutation relations      170 178 221
canonical ensemble      71
Chapman — Kolmogorov equation      5
Characteristic function of a measure      26
Charge conjugation      318
Choquard equation      186
Classical field      282
Classical field, connected with a quantum state      260
Classical filed      186
Classical limit      257
Coherent state      240
Compton wave length      249
condensate      223
Conditional expectation      29
Conjugate variables      262
continuum limit      13 179 244
Convexity      120 122 132 286
Cooper pairs      269
Correlation      75
Coulomb potential      50 119 121
Coupled systems      157
Covariance operator      227 358
Covariant derivative      289
Critical point      85
Cumulants      188
Curie point      268
Current (density)      283
Curvature      303
Cwickel — Lieb — Rosenbljum bound      132
Derivative (formal)      331
Diffusion constant      4 19
Diffusion equation      4 15
Dirac field      315
Dirac field, Euclidean      320—324
Dirac string      213
Dirichlet boundary condition      59 62 112
Double-slit experiment      17
Drift velocity      6
Dual pairs of spaces      229
DuHamel two-point function      189 191
Effective action      260—265
Effective potential      68 69 73 154 265—268
Effective potential, mean-field      273
Eigenvalues      62 66 127
Eigenvalues, asymptotic distribution      62
Eigenvalues, moment inequalities      135
electric field      48 161—169
entropy      252—255
Ergodicity      32
Euclidean action      230
Euclidean Bose field, path of the      228
Euclidean Bose field, statistical interpretation      218
Euclidean Bose field, stochastic interpretation      218 225
Euclidean momentum      220
Euclidean spacetime      216
Euler — Lagrange equations      89 106
Faddeev — Popov action      298
Faddeev — Popov determinant      294
Faddeev — Popov ghosts      296
Faddeev — Popov quantization      191
Fermion determinant      325
Fermion doubling problem      347
Ferromagnetic behavior      268
Ferromagnetic behavior, Curie — Weiss theory      274
Feynman function      220
Feynman integral      101
Feynman integral, radial      107
Feynman integral, sequential definition      102
Feynman — Kac formula      48—50
Feynman — Kac — Ito formula      198 210
Finite temperature fields      221
Fluctuation-dissipation connection      4
Flux quantization      213
Fourier expansion      161
Fourier transformation      9
Fourier — Laplace transform      339
Fractal set      7
Free energy      71 73
Free energy of a quantum field      259
Free energy, effective      186
Free field      76 238 264
Functional integrals      329—332
Functional integrals in QED      342
Galilean transformation      6 205
Gamma distribution      96
Gamma matrices      317
Gauge condition      285
Gauge fixing      283 286
Gauge fixing, axial gauge      292
Gauge fixing, Backgrond gauge      292
Gauge fixing, Coulomb gauge      292
Gauge fixing, Feynman gauge      288
Gauge fixing, Landau gauge      288 292
Gauge invariance      292 295
Gauge orbits      292
Gauge theory with fermions      346
Gauge theory, abelian      288
Gauge theory, nonabelian      289
Gauge theory, quantum chromodynamics      346
Gauge theory, Wilson approach      300
Gauge transformation      48 192 269
Gaussian density      14
Gaussian process      24 357
Gaussian process, generalized      226
Generating function      10
Ghost fields      297
Gibbs measure      230—231 242 252 256—258 305
Ginzburg — Landau equations      268—272
Golden — Thompson — Symanzik bound      67 175
Golden — Thompson — Symanzik bound, extension of the      160
Grassmann algebra      297 326
Green’s function      30 53 112 174 358
Gribov ambiguity      298
Gribov copies      298
Gribov horizon      299
Ground state      37 58 60 74 77 88 100 146
Ground state, stochastic representation      58
Hamiltonian      48 50 171 178 190 192 207
Hamiltonian in field theory      236—238
Hamiltonian, time-dependent      47 159 160 175
Hard sphere gas      149
harmonic oscillator      37 67 174
Harmonic oscillator, driven      124 161
Harmonic oscillator, inverted      89
Harmonic oscillator, Mehler’s formula      37 57 60 77 88 89 124
Harmonic oscillator, partition function      37
Harmonic oscillator, perturbed      79
Harmonic oscillator, trace formula      90
Harmonic oscillator, transition amplitude      37
Harmonic spin chain      85 86
Heat equation      4
Heisenberg picture      75 174
Hida distribution      107
Hida distribution, S-transform of the      108
Hida distribution, T-transform of the      108
Higgs model      231 311—315
Homotopy      291
Increments of a process      27
Infrared divergence      12
instantons      232 291
Integral kernel of an operator      9
Integration (formal)      334
Ising model      274—278
Ito integral      195
Ito’s lemma      197
Jensen’s Inequality      67 80 118 126 360—360
Klein — Gordon equation      217
Kustaanheimo — Stiefel transformation      78
Landau diamagnetism      207
Landau free energy      269
Langevin equation      33
Laplace — DeMoivre theorem      4
Large deviations      185
Larmor frequency      206
Lattice      242 300
Lattice spacing      6 13 177
Lattice, dual      245
Lattice, Laplacian on a      245
Lattice, oriented links      300
Lattice, oriented plaquettes      304
Lebesgue theorem of bounded convergence      44 50
Levy algorithm      143 148
Lie algebra      289 300
Lie — Trotter product formula      56 103
Lieb’s formula      130—131
Loop variables      308
Lorentz manifold      285
Lyapunov exponents      141
Magnetic field      192 208 271
Magnetic field, constant      201—205
Magnetic field, Landau levels      270
Magnetic flux      208
magnetic moment      206
Magnetic phase      209
Markov chain      1
Markov process      23 92
Markov process, associated with a Hamiltonian      75
Markov process, transition probabilities      23
Mass matrix      61 69 81
Maxwell distribution      96
Maxwell field      282
Maxwell theory      281—286
Maxwell theory, Euclidean version      281
Mean field approximation      272—274
Mean square displacement      14
Measure space      20
Measure theory      20
Method of stationary phase      104
Min-max principle      127 137
Minkowski space      216
Minlos’s theorem      41
Monte Carlo method      142
O(4)-invariance      221 235
Observable      75
Open systems      159
Operator norm      51
Operator norm, norm convergence      56
Operator norm, stochastic representation      51
Order parameter      267
Ornstein — Uhlenbeck process      33 357—358
Ornstein — Uhlenbeck process, covariance operator      35
Oscillator bridge      165 175
Oscillator process      36 38 77 357—358
Oscillator process, covariance operator      36
Osterwalder — Schrader postulates      234—237
Parity transformation      317
Particle statistics      68 70 72
Partition function      71
Path integral, approximation      42
Path integral, basic concept      41
Path integral, integrable functions      43
Path integral, list of      362—367
Path integral, relation to Brownian motion      39
Path integral, several particles      61
Path integral, stochastic formulation      45
Path-ordered exponential      302
Pauli paramagnetism      207
Peierl’s argument      11
Perimeter law      310
Periodic boundary conditions      85
Perturbation expansion      79
Pfaffian      337
Phase space      68
Phase space, sum over histories      105
Phase transition      244 266
Phonons      170 177
Planck’s constant      15 68 110 255
Poisson statistics      167
Poisson summation formula      64
Polarization (dielectric)      189
Polarons      177
Polarons, effective mass      183
Polarons, field theory      186
Polarons, free energy      182
Polarons, Froehlich parameter      184
Polarons, Pecar’s result      185
Portenko’s lemma      52 54
Positivity preserving map      19
Probability measure      20
Quantized vortex      271
Quantum fluctuations      111 258 267
Quantum Hall effect      214
Quark fields      346
Quenched approximation      344
Random field      217
Random Fourier coefficients      150
Random potential      175 180
Random variable      20
Random variable, cumulants      79
Random variable, distribution      21 27
Random variable, distribution, joint      22
Random variable, expectation values      29
Random variable, Gaussian      21 34
Random variable, Gaussian, Wick power      38
Random variable, vector-valued      20
Random walk      1
Random walk on a lattice      6 249
Recurrence (random walk)      7 12
Reflection groups      91—94
Reflection groups of infinite order      94
Reflection positivity      234
Reflection principle      91
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