Adler S.L. — Quantum theory as emergent phenomenon :: Электронная библиотека попечительского совета мехмата МГУ

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Adler S.L. — Quantum theory as emergent phenomenon

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Название: Quantum theory as emergent phenomenon

Автор: Adler S.L.

Аннотация:

Develops a new approach to the conceptual foundations of quantum mechanics.

Язык:

Рубрика: Механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2004

Количество страниц: 225

Добавлена в каталог: 08.12.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Poincare group invariance generators      56—57 134
Poincare group invariance of Wightman functions      206
Poincare group invariance, graded      64 72—73
Poisson algebra      30
Poisson bracket, classical      10 195—196
Poisson bracket, generalized      13 21 130 199—200
Poisson bracket, generalized, defined and properties, of      29—32
Poisson bracket, generalized, of trace generators      46—47 57 64 67 70 134
Poisson bracket, generalized, of trace supersymmetry generators      64 67 70 72 201
Poisson bracket, Jacobi identity for      19 194—198
Quantum field theory      8 9 11—13 15—17 39 46 118 125 128 131 135 151 191
Quantum theory, approximations/assumptions leading to      128—147 157 191
Quantum theory, Ax-Kochen approach      6 8
Quantum theory, Bohmian approach      6—8
Quantum theory, Copenhagen interpretation      5 6
Quantum theory, emergent      16 128—155
Quantum theory, histories approach      6 7
Quantum theory, many worlds approach      6 8
Quantum theory, measurement problem in      2—6 9 10 19 190
Quantum theory, probabilistic interpretation      5—7 10 151 156—189
Quantum theory, relation to trace dynamics      12—13
Quantum theory, statistical interpretation      5
Quantum Zeno effect      177
R, R+1 indices of phase space variables, defined      105
R, R+1 indices of phase space variables, exception to shift invariance of restricted measure      119—120 130 135
Rabi oscillation of frequency      177 179
Reduction (of stale vector)      5 7 8 10 17 19 154 156—190
Reduction (of stale vector), rale of      17 175—189
Representation covanant gamma matnx identities      202—203
Sample space      5—7 10
Scale invanance      11 58 131 190—191
Schroedinger equation      17
Schroedinger equation, nonlinear deterministic      18
Schroedinger equation, stochastic      (see Stochastic Schroedinger equation)
Schroedinger picture      12 118 147—151 156—189
Schur’s lemma      108
Slem — Gerlach expenmenl      3—5 153 184
Source terms $j_{r}$       16 31 88 118—119 124 127 129—130 132 139 144 157
Source terms $j_{r}$ with vanishing classical parts      132
Spin structure      56
Stnng theory      11 70 190
Stochastic Schroedinger equation      13 17 18 49 156—190
Stochastic Schroedinger equation, accretion model for energy vanance      181—185
Stochastic Schroedinger equation, continuous spontaneous localization (CSL)      17 156—157 168—169 173—175 185-189
Stochastic Schroedinger equation, energy-driven      17 156—157 169 173—185
Stochastic Schroedinger equation, environmental effects on      181—185
Stochastic Schroedinger equation, Lorenlz noninvariance      169—170
Stochastic Schroedinger equation, phenomenological constraints on      156 175—189
Stochastic Schroedinger equation, reduction rate formulas      174—175 180 188
Stochastic Schroedinger equation, simulation methods for      180
Stochasticity parameter, $\gamma$ defined      188
Stochasticity parameter, $\sigma$ defined      174
Stochasticity parameter, M defined      175
Sum rule for $l_{eff}\hbar$       142 146
Superconducting quantum interference device (SQUID)      178
Supergravity      15 73—74
Superluminal propagation      18 154 155 165 168
Superspace      64 72—74
Supersymmetry and supersymmetric      11 15 17 141—142 146 190—191
Supersymmetry and supersymmetric, algebra closure      67 70 72—73
Supersymmetry and supersymmetric, gamma matrix identities for      201—203
Supersymmetry and supersymmetric, local      15 64 73—74
Supersymmetry and supersymmetric, supercurrent      11 190
Supersymmetry and supersymmetric, trace dynamics models      64 74
Supersymmetry and supersymmetric, Wess — Zumino model      15 64 67 201
Supersymmetry and supersymmetric, Yang — Mills model      15 64 67—70 76 93—100 141—142 201
Supersymmetry and supersymmetric, “M”theory matrix model      15 64 70—72 203

Support properties      17 128—129 139—144
Support properties, possible superconductive analog      143—144
Survival probability      177
Symplectic notation defined      30—31
Symplectic structures      198—200
T superscnpt used to denote transpose      51 59 65—66 70 193 206
Thermodynamics      13 15 156 190
Time-reversal transformation      50—52
Tr notation for trace      22
Trace dynamics      12—14 16—19 21-38
Trace dynamics, conserved operator C in      42—52
Trace dynamics, contrasted with unitary Heisenberg evolution      21 32—38
Trace dynamics, correspondence of operators with quantum field theory      135—136 147—148
Trace dynamics, Euler — Lagrange equations for      27—28
Trace dynamics, formal integration of equations of motion      32
Trace dynamics, generic conserved quantities in      13—15 39—63 82
Trace, action      27
Trace, angular momentum density      56—57
Trace, class      12 32 34 38 133 192
Trace, current      53—54 66 69
Trace, cyclic permutation under      12 13 21—25
Trace, dynamics      (see Trace dynamics)
Trace, energy-momenlum four-vector (four-momentum)      56—57 66
Trace, energy-momenlum lensor      15 55—58 60—61
Trace, fermion number      14 39 42 59—60
Trace, generators      45—47 129
Trace, Hamiltonian decoupling      15 16 136 169
Trace, Hamiltonian defined      12 28
Trace, Hamiltonian properties      13 29 39 40 47 48 62—63
Trace, Hamiltonian, specific models      40 59 65 68 71 95
Trace, Lagrangian      12 15 16 27 52
Trace, Lagrangian densily      52 60 204
Trace, Lagrangian, specific models      40 48 58—59 64 65 67—68 70
Trace, notation Tr for      22
Trace, operator derivative of      18 21 24 26
Trace, Poincare generators      57 82 134
Trace, polynomial defined and properties of      24 26
Trace, real, in real and qualemionic Hilbert space      194
Trace, supercharge      64 67 70 72
Trace, supersymmetry current      64 67 70
Transition probabilities      17 177 179—180
Two-level (of stale) system      177—179
Unitary canonical generators      134 135
Unitary fixing      17 76 104—116 124 191 208—211
Unitary fixing, physical quantities independent of      137—138
Unitary invariance, global      (see Global unitary)
Vacuum state      136 150 158 162—163 206
Vandermonde determinant      111—112
Variance      171 175 178 180 187—188
Von Neumann, measurement model      3 181
Von Neumann, recursion      184
Ward identity/identities      16 17 81 112 114—116 117—147 154 157 160
Ward identity/identities, effect of unitary fixing on      115—116
Ward identity/identities, restnctions on underlying theory implied by      139—147
Ward identity/identities, “off-shell” extension      127 130 134—135
Weisskopf — Wigner theory      176—177
Weyl ordering      19 33—38 43 161
Weyl ordering, generating function for      33—34
White noise      165 169
Wightman functions      16 17 136—138 158 206—208
Wightman functions, cluster property of      137 208
Wightman functions, reconstruction of quantum field theory from      137 206—208
Wightman functions, spectral condition      20 137 207
Zeno effect      (see quantum Zeno effect)
“chemical potential”      (see Equilibrium distribution parameters
“fasl” parts of dynamical variables      128 140—141 191
“slow” parts of dynamical variables      128 131 140—141 191

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