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Thirring W.E. — Course in Mathematical Physics: Classical Dynamical System, Vol. 1 by Walter E. Thirring
Thirring W.E. — Course in Mathematical Physics: Classical Dynamical System, Vol. 1 by Walter E. Thirring



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Название: Course in Mathematical Physics: Classical Dynamical System, Vol. 1 by Walter E. Thirring

Автор: Thirring W.E.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1983

Количество страниц: 258

Добавлена в каталог: 05.04.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$C^{r}$-vector field      28
action      87
Action and angle variables      103
Adiabatic theorem      207
Almost-periodic orbit      6 96
Alternating product      52
Arnold's theorem      102
Asteroids      166
Asymptotic completeness      115
Asymptotic constant      109
Atlas      9
Automorphism      5
Basis      26
Betatron      203
Black hole      224
Boundary      16 17
Bruns's theorem      177
Bundle chart      26
Canonical flow      84
Canonical form      77
Canonical transformation      76 78
Capture theorem      72
Causal space      246
Causal structure      246
Center of mass      146
Centrifugal force      90
Cesaro average      88 119
Chart      9
circular polarization      211
Closed orbit      96
Closed p-form      58
Collinear equilibrium      165
Comparison diffeomorphism      37
Compatible      9
complete      35
Component      48
Configuration space      40
Conservation of angular momentum      85
Conservation of momentum      85
Constant acceleration      89
Constant of motion      38 92 109
Constraint      4
Contraction      54 244
Contravariant      44
Convergence of perturbation theory      133
Coriolis force      90
Cotangent bundle      45
Cotangent space      43
Coulomb field      197
Covariant      44
Cross-section      116
Deflection angle      109
Deflection of light by the Sun      226
Derivative      8 22 27
Diffeomorphism      15
Differentiable      8 14
Differential      56 57
Differential scattering cross-section      116
Differentiation      8 56
Dilatation      145 245
DIMENSION      9
Domain of a chart      9
Driven oscillator      131
Dual basis      43
Dual space      43
Effective potential      157
Einstein's synchronization      242
Elapsed time      149
electric field      186
Electrodynamic equations of motion      185 186
Elliptic fixed point      122
Energy surface      93
Equilateral equilibrium      165
Equilibrium position      95
Ergodic theory      72
Escape criterion      172 181
Escape trajectory      71 160
Euclidean group      142
Euler — Lagrange equations      39
Exact p-form      58
Extended configuration space      88
Extended phase space      88
Exterior differentiation      57
Exterior product      52
Fiber      26
Field tensor      186
Fine structure      201
Fixed point      119
Flow      32 35
Free particle      142 189
Galilean group      144
Gauge transformation      188
General covariance      13
Generator of a canonical transformation      79
Geodesic      218
Geodetic form of the equations of motion      217
Gravitational red-shift      249
Gravitational wave      229
Half-space      16
Hamilton — Jacobi equations      87 90
Hamiltonian      40
Hamiltonian vector field      80 83
harmonic oscillator      85 104
Hyperbolic fixed point      122
Hyperbolic trajectory      194
Impact parameter      117
Incompressible      70
Infinitesimal variation      4
Integrable system      100
integral      67
Integral of motion      38 92 109
Integral, curve      32
Integral, invariant      79n
Interior of a manifold      18
Interior product      54
Jacobi's constant      164
Jacobi's identity      63
K-A-M theorem      138
Kepler problem      146
Kepler trajectory      148
Kepler's equation      153
Lagrangian      39
Larmor orbit      193
Larmor precession      190
Legendre transformation      40
Lenz's vector      147
Lie bracket      62
Lie derivative      30 60
Lightlike direction      209
Linear motion      34
linear polarization      212
Liouville measure      77
Liouville operator      30
Liouville's theorem      84
Lissajou figure      6 97
Local canonical transformation      78
Local coordinates      13
Local flow      35
Local generator      79
Locally Hamiltonian vector field      80
Lorentz contraction      244
Lorentz force      186
Lorentz transformation      189
Magnetic field      186
Manifold      4 8 9
Manifold with a boundary      16
Maxwell's equations      187
Minkowski space      241
Moebius strip      27
Moller transformation      112 161
n-body problem      176
Natural basis      30 44
Observable      5
Orbit      96 115n
Orientable      66
Orthogonal basis      43
Oscillation      104
Oscillator with changing frequency      131
Oscullating curves      20
p-form      52
Parallel at a distance      24
Parallelizable      26
Peano curve      97
Periodic orbit      96
Perturbation series      126
Perturbation theory      124
Phase space      40
Plane disturbance      208
Plane wave      229
Poincare group      47 189
Poincare's recurrence theorem      71
Poisson bracket      81
Precession      190 225
Problem of small denominators      128
Product manifold      12
Projection to a basis      26
Pseudo-Riemannian space      47
Pull-back      51
Quadrupole oscillation      233
Red-shift      249
Reduced mass      147
Regularization      4
Restricted three-body problem      163
Riemannian space      47
Rotating coordinates      90
Scattering angle      116
Scattering cross-section      116
Scattering transformation      115
Schwarzschild field      220
Schwarzschild radius      220
Schwarzschild's capture theorem      72
Small denominators      128
Small oscillation      105
Sphere      11
Stable      119
Star (*) mapping      53
Starlike      59
Stereographic projection      25
Stokes's theorem      68
Submanifold      13
Surface tensor      53
Symplectic matrix      80
Synchronization      240 242
Tangent      19
Tangent bundle      24 25
Tangent space      19 21
Tensor      42 44
Tensor bundle      45
Tensor density      53
Tensor field      46
Tensor product      44
Thompson's theorem      73
Tidal force      218
Time-dilatation      245
Toda molecule      106
Torus      11
Trajectory      32n
TRANSPOSE      43
Traveling plane disturbance      208
Trivial      26
Trivializable      26
trojans      166
Two centers of force      154
Unbound trajectory      71 160
Universality of gravitation      216
Unstable      119
Vector bundle      26
Vector field      28
Velocity reversal      112
Virial theorem      179
Virtual displacement      4
wedge      52
Zeeman's Theorem      248
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