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Goldstein H., Poole C., Safko J. — Classical mechanics
Goldstein H., Poole C., Safko J. — Classical mechanics

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Название: Classical mechanics

Авторы: Goldstein H., Poole C., Safko J.

Аннотация:

For thirty years this has been the acknowledged standard in advanced classical mechanics courses. This classic book enables readers to make connections between classical and modern physics - an indispensable part of a physicist's education. In this new edition, Beams Medal winner Charles Poole and John Safko have updated the book to include the latest topics, applications, and notation, to reflect today's physics curriculum. They introduce readers to the increasingly important role that nonlinearities play in contemporary applications of classical mechanics. New numerical exercises help readers to develop skills in how to use computer techniques to solve problems in physics. Mathematical techniques are presented in detail so that the book remains fully accessible to readers who have not had an intermediate course in classical mechanics. For college instructors and students.


Язык: en

Рубрика: Физика/Классическая физика/Теоретическая механика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: third edition

Год издания: 2000

Количество страниц: 638

Добавлена в каталог: 19.06.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Generating function, infinitesimal canonical transformation (I.C.T.)      403
Generating function, infinitesimal rotation      404
Generating function, Poisson bracket      404 406
Generating function, symplectic      394
Generating function, table      373
Geodesic      40 324—326 362
Geodesic deviation      325
geoid      176
Geostrophic wind      178
Gibbs free energy      337
Glory scattering      114
Goldschmidt solution      64 65
Gradient      295
Gram — Schmidt method      249
Gravitational charge      226
Gravitational field      176 185 210 275
Gravitational quadrupole moment      226
Greek subscript convention      286
Group, abelian      606
Group, canonical transformation      387
Group, class      607
Group, conjugation      606
Group, cyclic      606
Group, definition      605
Group, dihedral      606 607
Group, generator      606
Group, Lorentz      282 610
Group, multiplication table      606
Group, properties      387 605—611
Group, quaternion      610
Group, representation      608
Group, rotation      171
Group, symmetry      412
Group, symmetry, for system      413
Group, symplectic      387 612
Group, theory      605
Gyration, radius of      198
Gyrocompass      223
gyromagnetic ratio      230
Gyroscope inertia      222
Gyroscope, torque free mounting      213
Hamilton — Jacobi theory and equation      334 430—451 488 528 549 619
Hamilton — Jacobi theory and equation, central force      448
Hamilton — Jacobi theory and equation, chaos      485
Hamilton — Jacobi theory and equation, completely separable      444
Hamilton — Jacobi theory and equation, cyclic coordinates      445—41
Hamilton — Jacobi theory and equation, ellipsoidal coordinates      479
Hamilton — Jacobi theory and equation, harmonic oscillator      434—439
Hamilton — Jacobi theory and equation, Kepler problem      445—451
Hamilton — Jacobi theory and equation, Kepler problem, spherical coordinates      451
Hamilton — Jacobi theory and equation, method      434—439
Hamilton — Jacobi theory and equation, new constant coordinates      432
Hamilton — Jacobi theory and equation, separation of variables      444—445
Hamilton — Jacobi theory and equation, two methods of solution      442
Hamilton's principle      34—36 44—50 313 324 355 562 564
Hamilton's principle, Lagrange's equations derivation      44 45
Hamilton's principle, Lagrange's equations derivation, modified      354 355 599
Hamilton's principle, nonholonomic systems      45—50
Hamiltonian      334—353
Hamiltonian as total energy      339
Hamiltonian covariant      349 352
Hamiltonian degrees of freedom      342
Hamiltonian density      573 586
Hamiltonian formulation      334—363
Hamiltonian formulation, advantages      51—54
Hamiltonian formulation, characteristic function      434 440—444
Hamiltonian formulation, comparison of characteristic and principal functions      442—443
Hamiltonian formulation, conservation theorems      347—349
Hamiltonian formulation, continuous systems      572
Hamiltonian formulation, cyclic coordinates      343—349
Hamiltonian formulation, generates canonical transformation      420
Hamiltonian formulation, Hamilton equations of motion      334—363 368 397 402
Hamiltonian formulation, Hamilton equations of motion, derived from variational principle      353
Hamiltonian formulation, Hamilton equations of motion, least action principle      356—363
Hamiltonian formulation, Legendre transformation derivation      334—342
Hamiltonian formulation, principal function      430—434 433 528
Hamiltonian formulation, principal function, compared with characteristic function      442
Hamiltonian formulation, relativistic formulation      349—353
Hamiltonian formulation, relativistic mechanics      349
Hamiltonian formulation, Routh procedure      347—349
Hamiltonian formulation, symplectic approach      339—343
Hamiltonian formulation, variational principle derivation      353—356
Hamiltonian generator of system motion      399
Hamiltonian perturbation      526
Hamiltonian quantum mechanics      613
Hamiltonian, Henon — Heiles      492 497 522
Hamiltonian, symplectic      576
Handedness convention      169
Hanon — Heiles chaos      484
Hanon — Heiles equipotentials      498
Hanon — Heiles galaxy model      516
Hanon — Heiles Hamiltonian      492 496 497 522
Hanon — Heiles islands in chaos      502
Hanon — Heiles potential      497
Hanon — Heiles, Hamilton equations      497
Hanon — Heiles, Poincare map      499—501
harmonic oscillator      434—440 485
Harmonic oscillator, action-angle variables      455 456 485
Harmonic oscillator, adiabatic invariant      550
Harmonic oscillator, canonical transformation      377
Harmonic oscillator, constants of motion      417
Harmonic oscillator, coordinate space plot      440
Harmonic oscillator, damped      269
Harmonic oscillator, damped, driven      505 507
Harmonic oscillator, ellipse      377
Harmonic oscillator, Feigenbaum plot      508
Harmonic oscillator, Hamilton — Jacobi      434—40
Harmonic oscillator, isotropic      82
Harmonic oscillator, isotropic, three dimensional      275
Harmonic oscillator, perturbation      529 542
Harmonic oscillator, phase diagram      380
Harmonic oscillator, Poisson brackets      417
Harmonic oscillator, relativistic      316
Harmonic oscillator, two dimensional      415 416
Harmonic oscillator, two dimensional, anisotropic      437
Heading angle      154
Heisenberg algebra      613
Heisenberg picture      408
Helmholtz free energy      337
Hermitean matrix      412
Herpolhode      202 203
Hertz principle of least curvature      361
Hierarchy of islands      504 505
High energy physics      300
Hodograph      131
Holonomic      12
Holonomic constraint      12
Holonomic system      199
Homogeneous function      320
Homogeneous problem      320 359
Homomorphism      418 609
Hooke's law      52 92 317 559
Hoop, rolling      50
Hoop, vertical      66
Huygens' waves      132
Hydrodynamic derivative      419
Hyperbola      81 316
Hyperbolic motion      315
Hyperbolic point      504
Hyperbolic region      504
Hypersurface      580
Hypersurface energy      494
Hypersurface, spacelike      580
Hypocycloid      64
Hysteresis      270 271 523
I.C.T. (infinitesimal canonical transformation)      385 386 402 403 408 410 413
Identity transformation      146 156
Ignorable      see cyclic
Imbedding in chaos      514—516
Impact parameter      107
Inclination      532
Incommensurate      548
Incommensurate, frequency, period      462 489 548
Incommensurate, oscillator      521
Inelastic collision      118
Inertia, ellipsoid      197 201
Inertia, tensor      191
Inertia, tensor, components      195
Inertia, tensor, diagonal      196
Inertia, tensor, eigenvalue      195 196
Inertia, tensor, eigenvector      196
Inertia, tensor, integral      194
Inertia, tensor, principal axes      196
Inertia, tensor, principal moments      197
Inertia, tensor, properties      195
Inertia, tensor, similarity transformation      196
Inertial force      5
Inertial system, definition      2
Infinitesimal canonical transformation      385 386 396 398 399 401
Infinitesimal rotation      163 166
Infrared spectroscopy      258
Instability      205
Integrability breakdown      502
Integral invariants of Poincare      394
Integral line      35
Integral variation      44
Integral, Jacobi      61
Integrating factor      15
Invariable plane      202
Invariance, adiabatic      549
Invariance, condition      594
Invariance, group      613
Invariance, logistic equation      484
Invariance, Lorentz      302
Invariance, Poisson bracket      388
Invariance, rotation      60
Invariance, scale      591
Invariance, translation      60
inversion      150 181
Islands in chaos      502 503
Islands, hierarchy      504 505
Islands, various orders      504
Isomorphism      609
J-matrix      342 382—389 393
J-matrix, Poisson bracket      388
Jabberwocky      202
Jacobi determinant      394
Jacobi form of least action pnnciple      361
Jacobi identity      393 398 424 428
Jacobi identity, integral      61 566 597
Jacobi identity, Lagrange brackets      424
Jacobi identity, Poisson bracket      390
Jacobi matrix of canonical transformation      426
Josephson junction      265 271 618
KAM (Kolmogorov — Arnold — Moser) theorem      484 487—492
Kamiltonian      370
Kepler equation      102 126 131
Kepler problem, action variables      471
Kepler problem, action-angle variables      466
Kepler problem, closed orbits, conditions      89—92
Kepler problem, cyclic coordinate      445
Kepler problem, equations of motion      72—76
Kepler problem, equivalent one body problem      70—71
Kepler problem, equivalent one dimensional problem      76—83
Kepler problem, inverse square law      92—96
Kepler problem, inverse square law potential      70—126 347 415
Kepler problem, Lie algebra      414
Kepler problem, motion in time      96
Kepler problem, orbit equation      86—89 96—103
Kepler problem, perturbation      536
Kepler problem, Poincare map      495 496
Kepler problem, scattering      106—121
Kepler problem, spherical polar coordinates      467
Kepler problem, symmetry group      414
Kepler problem, virial theorem      472
Kepler second law      73
Kepler third law      101 470
Kinematics, rigid body      134 184
Kinematics, tools      184
Kinetic energy, ellipsoid      203
Kinetic energy, rigid body      184
Kinetic energy, rotational      191
Kinetic energy, total      9
Kinetic theory      85 112
Kirchhoff junction conditions      66
Klein — Gordon equation      585
Klein — Gordon field      585
Klein — Gordon particle      596
Kolmogorov — Arnold — Moser (KAM) theorem      484 487—492
Korteweg-deVries equation      596 600
Kronecker delta ($\delta_{ij}$)      138 181 190
Laboratory frame      302
Laboratory system, transformation      306
Laboratory time      279
Lagrange bracket      392—394
Lagrange bracket, fundamental      393
Lagrange calculus of variations      36
Lagrange equations      16 21—23
Lagrange equations, derivation from Hamilton's principle      44 45
Lagrange equations, Euler equation derivation      200
Lagrange equations, Nielsen form      30
Lagrange equations, perturbation      533
Lagrange multipliers      16 67
Lagrange point      124
Lagrange solution of three body problem      123
Lagrange undetermined multiplier      198
Lagrangian, applications      24—29
Lagrangian, central force      71
Lagrangian, conserved quantities      566
Lagrangian, covariant      318 321 322 352
Lagrangian, definition      21
Lagrangian, density      564 567 583
Lagrangian, density, continuous system      561—566
Lagrangian, discrete system      558—560
Lagrangian, electromagnetic field      350
Lagrangian, formulation versus Newtonian      199
Lagrangian, from Hamilton's principle      44
Lagrangian, heavy symmetrical top      208
Lagrangian, precession of Earth      227
Lagrangian, relativistic      312
Lagrangian, rigid body      185 199
Lagrangian, separable      185
Laplace transform      264
Laplace — Runge — Lenz vector      102—106 131 429
Larmor frequency      231
Larmor precession      318
Larmor theorem      232
LC circuit      51
Least action principle      356 362
Least action principle, $\Delta$-variation      359
Least action principle, Jacobi form      361
Least action principle, restrictions      358
Legendre polynomial      539
Legendre polynomial generating function      224
Legendre transformation      334 335 375 549
Levi-Civita density, ($\epsilon_{ijk}$)      169 410
Liapunov exponent      491 519
Liapunov exponent, damped pendulum      519
Liapunov exponent, diagram      520
Liapunov exponent, dimension      521
Liapunov exponent, logistic equation      514 519
Liapunov exponent, negative      492
Liapunov exponent, Sierpinski carpet      519
Liapunov exponent, solar system      494
Libration      452 455 460
Lie algebra      171 412—415 611—613
Lie algebra, definition      412
Lie algebra, Kepler problem      414
Lie algebra, Poisson bracket      392
Lie algebra, structure constant      413 612
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