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Авторизация |
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Goldstein H., Poole C., Safko J. — Classical mechanics |
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Предметный указатель |
Covariant Hamiltonian 349 352
Covariant Lagrangian 318 321 322 350 352
Covariant principle 325
Covariant vector 289
Covariant, relativistic 577
Cramer's rule 149 263
Cross section, high energy limit 127
Cross section, Rutherford 110
Cross section, total 110
Crossing the T 8
Current conserved 594 595
Current density 588
Current elastic rod 567
Current field flow 568 571 594
Current flow, RL circuit 51
Curvature scalar 327
Cyclic coordinate 55 343 369
Cyclic coordinate, Kepler problem 445
Cyclic group 606
Cyclotron frequency 318 553
Cyclotron resonance 318
D'Alembert characteristic 548
D'Alembert principle 16—20 46 313
d'Alembertian 296
Damping 519
Damping, exponential 262
Damping, van der Pol equation 490
Deflection angle, scattering 113
Degeneracy 244 465
Degeneracy conditions 465
Degeneracy, exact 547
Degeneracy, Kepler problem 470 484
Degeneracy, proper 547
Degeneracy, vibrational modes and frequencies 257
Degrees of freedom 13 245 255 342 427 541 549 563
Degrees of freedom, Hamiltonian 342
Degrees of freedom, many 457
Degrees of freedom, molecular vibrations 256
Degrees of freedom, n particles 13
Degrees of freedom, oscillator 264
Degrees of freedom, rigid body 135
Degrees of freedom, vibration 257
Delaunay variables 477
Delta, -function 588
Delta, -variation 38
Delta, Kronecker () 138 181 190
Dense quasi-periodic orbits 491
Derivative, functional 574
Deterministic 483
Differential equation, inhomogeneous 259
Diffusion 524
Dihedral group 606 607
Dilation of time 279
Dimension, Cantor set 516
Dimension, fractal 516 517
Dimension, Hausdorff 517
Dipole moment, gravitational 226
Dipole moment, magnetic 185 230
Dirac -function 588
Direction cosines 136
Direction cosines, orthogonality 138
Direction cosines, transformation 139
Dissipation, exponential damping 263
Dissipation, forces 259
Dissipation, function 22—24 53 63 261
Dissipation, Rayleigh 23
Disturbing function 533
Divergence 295
Divergence, 4-divergence 296
Divergence, relativistic 565
Divergence, theorem, four dimensional 581 593
Divergenceless 581
Doppler effect 329
Drag force 24 52
Dual space 292
Duffing oscillator 523
Duffing oscillator, inverted 524
Dumbbell molecule 347
Dynamic steady state 267
Earth — Moon system 124
Earth, equatorial bulge 223
Earth, figure axis 226
Earth, Lagrangian for precession 227
Earth, potential 226 227
Earth, precession 226
Earth, spinning ring 229
Earth, torques 237
Eccentric anomaly 99
Eccentricity 94 95 532
Eccentricity, Sun and Moon 227
Ecliptic 208 228
Eigenvalue 156—158
Eigenvalue, angular momentum 411
Eigenvalue, equation 157
Eigenvalue, Euler's theorem 157
Eigenvalue, inertia tensor 195 196
Eigenvalue, linear triatomic molecule 254
Eigenvalue, oscillations 241
Eigenvalue, problem 157
Eigenvalue, transformation matrix 160
Eigenvector 247
Eigenvector, indeterminacy 258
Eigenvector, inertia tensor 196
Eigenvector, linear combination 248
Eigenvector, orthonormal 249
Eigenvector, oscillations 244
Eigenwerte (German for eigenvalue) 156
Einstein field equations 327 538
Einstein summation convention 139
Einstein tensor 327
Einstein velocity addition law 283 328
Elastic collision 118 120 306
Elastic scattering 120
Elastic solid 563
Elastic wave 560
Electric circuit, equation 264
Electric circuit, Lagrangian 53
electromagnetic field 31 51 55 275 571 587
Electromagnetic field, Lagrangian 350
Electromagnetic field, Lagrangian, covariant 352
Electromagnetic potential 342
Electromagnetic radiation 54
Electromagnetic theory 276
Elementary particle 51 54 300 615
ellipse 81
Ellipse, figure 96
Ellipse, harmonic oscillator 377
Ellipse, orbit equation 484
Ellipse, phase space plot 98
Ellipse, properties 97
Ellipse, semimajor axis 95 475
Ellipse, shape, scale, orientation 105 473
Ellipse, table 97
Ellipsoid, Binet 203 204
Ellipsoid, inertia 196 201
Ellipsoid, kinetic energy 204 258
Ellipsoid, moment of inertia 197
Ellipsoid, rigid body 185—188
Ellipsoidal coordinates for Hamilton — Jacobi equation 479
Elliptic function 89
Elliptic integral 234
Elliptic region for chaos 504
Elsewhen 279
Elsewhere 279
Energy, center of 312
Energy, central force 74 77
Energy, conservation 60
Energy, conserved 61—63
Energy, free, Gibbs 337
Energy, free, Helmholtz 337
| Energy, function 60—63 314
Energy, hypersurface 494
Energy, potential 4
Ensemble 419
Ensemble, microcanonical 421
Enthalpy 336
Equant 129
Equation of motion 74
Equation of state, gas 85
Equilateral triangle group 609
Equilibrium, generalized forces 238
Equilibrium, indifferent 240
Equilibrium, neutral 240
Equilibrium, stable 238
Equilibrium, statistical 421
Equilibrium, unstable 239
Equinox 539
Equinox, precession 223—230
Equipotential curve, gravitation 125
Equipotential curve, Henon — Heiles 498
Equivalence principle 324 346
Ergotic hypothesis 418
Escape velocity 31
Ether 566
Euclidean dimension 518 519
Euclidean space 517
Euler angles 150—154 196 601
Euler angles, angular velocity 602 615
Euler angles, conventions 154
Euler angles, figure 152
Euler angles, infinitesimal 165
Euler angles, left handed 152
Euler angles, SU(2) rotation 412
Euler angles, time changes 210
Euler angles, x-convention 154 601
Euler angles, xyz-convention 154 603
Euler angles, y-convention 154 601
Euler equations 198 199 234
Euler equations derived from Lagrange's equations 200
Euler equations, heavy symmetrical top 210
Euler equations, symmetric body 205
Euler inhomogeneous function 86
Euler parameters 155 182 602
Euler solution of three body problem 122
Euler theorem 155—161
Euler theorem, homogeneous functions 320
Euler — Lagrange 564
Euler — Lagrange complex scalar field 583
Euler — Lagrange electromagnetic field 587
Euler — Lagrange equation 45 64 65 319 354
Euler — Lagrange relativistic equation 564 588
Event 279 311
Extremum path 40
Extremum problem 39
Extremum surface area 40
Faraday tensor 297 298
Feigenbaum diagram, logistic equation 510 513—515
Feigenbaum number 514
Feigenbaum plot 506
Feigenbaum point 511
Fermat's principle 360
Field equation, Lagrange — Euler 583
Field theory 558—589
Field theory, Hamiltonian formulation 571—577
Field theory, Noether's theorem 589—598
Field theory, relativistic 583—598
Field, canonical equations 574
Field, classical theory 571
Field, complex 596
Field, complex scalar 583
Field, definition 566
Field, elastic 51
Field, electromagnetic 31 51 55 275 571 587
Field, elementary particle 51
Field, gravitational 176 185 210 275
Field, relativistic 571
Field, scalar 287 583
Field, scalar meson 571 599
Figure axis 539
Fission 120
Fluid dynamics 419
Fluid, perfect 579
Flux density 107
Force, central 7 70
Force, centrifugal 176
Force, cut off 111
Force, driving 259
Force, effective 80 94 175
Force, electromagnetic 259
Force, external 5
Force, generalized 19 21 58 238
Force, gradient of potential 10
Force, gravitational 93
Force, inertial 5
Force, internal 5 11
Force, inverse square 77 92
Force, linear restoring 83
Force, long range 110
Force, Lorentz 22 131 237 317 350
Force, Minkowski 299 322
Force, relativistic 297
Force, reversed effective 18 80
Force, strong 299
Force, weak 299
Foucault pendulum 179 183 184
Four-vector see 4-vector
Four-velocity see 4-velocity
Fourier series 14 126 574
Fourier series, convergence 545
Fourier series, multiple 460
Fourier transform 274
Fractal 516 620
Fractal area 521
Fractal dimension 490
Fractal dimension, Sierpinski carpet 519
Fractal geometry 491
Fractal self-similarity 505 514
Free energy, Gibbs 337
Free energy, Helmholtz 337
Frequency, characteristic 266
Frequency, commensurate 106
Frequency, critical 266
Frequency, cyclotron 318 553
Frequency, driving 490
Frequency, imaginary 244
Frequency, Larmor 231
Frequency, resonant 490
Friction 24
Friction, atmosphere 32
Friction, drag 24
Friction, electrical 52
Friction, oscillating system 262
Friction, rolling 17
Functional 287 293
Functional, derivative 574 575
future 279
Galactic center 496
Galaxy model, Henon — Heiles 496 497 516
Galilean system 2
Galilean transformation 276—280
Gas, equation of state 85
Gauge transformation 595
Gauge transformation, general 619
General relativity 324
Generalized force 19 21 57 58
Generalized mechanics 65
Generating function 371 372
Generating function, canonical transformations, table of 373
Generating function, chaos 488
Generating function, infinitesimal canonical transformation (I.C.T.) 403
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