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| Planck M. — Introduction to Theoretical Physics |
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| Ïðåäìåòíûé óêàçàòåëü |
Field, electric see Electric field
Field, electromagnetic see Electromagnetic field
Field, electrostatic see Electrostatic field
Field, vector 51
First law of thermodynamics 460
Flow, lines of 186
Flow, of fluids 185ff.
Flow, of heat 197ff.
Fluids, flow of 185ff.
Flux 185
Flux density 185—186
Flux density, of heat flow 198
Flux, magnetic 235
Force, external see External forces
Force, interatomic 439ff.
Force, on charge and current 240
Forced vibrations, of particle 29
Forced vibrations, of string 142—143
Fourier series 120—128
Fourier series, double 162
Fourier series, generalization for multiply periodic motion 362
Fourier series, in function space 139
Fourier's method for transient heat flow 203—205
Fraunhofer diffraction 315ff.
Free electrons in quantum theory 531—535
Free energy 458ff.
Free energy, of crystals 476
Fresnel diffraction 315ff.
Fresnel equations for reflection 262—264
Fresnel integrals 320 328
Fresnel zones 308ff.
Function space 137ff.
Functions, odd and even 126
Functions, representation by power series 2ff.
Functions, scalar product in function space 153
f—values for dispersion electrons 547—548
Gases, dispersion in 275—278
Gases, equation of state and general properties 454ff.
Gauss error curve 372
Gauss's theorem 187—188
General solution of differential equation 15
Generalized coordinates, curl in 229
Generalized coordinates, equations of motion in 59ff. 69ff.
Generalized coordinates, gradient, divergence, Laplacian in 199—201
Generalized force 69—70
Generalized force, in vibrating string problem 141
Generalized momentum 61 69ff.
Geophysical problems with elastic waves 179—180
Gibbs — Helmholtz equation 460
Gradient, in curvilinear coordinates 200
Gradient, of a scalar 54 56
Green's distribution 221—222
Green's method for differential equations 222—223
Green's theorem 217
Half-breadth of resonance band 37
Hamilton's equations of motion 71—76
Hamilton's principle 342
Hamiltonian function 71—72
Hartree's method of self-consistent fields 430—431
Heat flow 197—209
Heitier — London method for molecular energy 523—527
Hertz, electric waves 238
Hertz, vector 291ff.
Homogeneous quadratic functions 73—74
Homopolar valence 443 523—527
Hooke's law 177—182
Hooke's law, modified for viscous fluids 193
Huygens' principle 302—311
Hydrogen atom 406ff.
hydrogen molecule 523—527
Hydrostatic pressure 174
Ideal fluid 190
Images, method of 215—216
Impedance 33
Imperfect gases 462ff.
Index of refraction 253 270—283 (see
Induced emission, probability of 394
Induction vector, magnetic 239
Induction, electromagnetic 235—236
Induction, electrostatic 215
Inelastic electronic collisions 403
Inertia, moment and products of 95—96
Infinite series see Series
Initial conditions, for circular membrane 168
Initial conditions, for quantum—mechanical motion 377ff.
Initial conditions, for rectangular membrane 162
Initial conditions, for string 122
Initial conditions, for transient vibrations of particle 29
Inner shielding 437
Instantaneous axis 99
Integral method for transient heat flow 205—208
Integral, line 52—53
Integral, of state, in kinetic theory 458—459
Integral, phase or quantum 358—359
Intensity, and selection principles 417
Intensity, of electric field 210
Intensity, of magnetic field 225
Intensity, of radiation and correspondence
Intensity, principle 363
Interaction, of electrons 501ff.
Interaction, of nuclei, perturbation method 497—499
Interatomic forces and molecular structure 439ff.
Internal energy of a system 460
Ionic compounds 449—451
Ionic crystals 473
Ionic forces 439
Ionization potentials 435—437
Iron group of elements 430
Iron group of elements, paramagnetism of 557
Irreversibility of heat flow 208
Irrotational flow 188—192
Iso-electronic sequences 438
Isotopes 407
kinetic energy 41
Kinetic energy, of rigid bodies 95
L-S coupling 519
Lagrange's equations 58—67 75
Lagrange's equations, for weighted string 131
Lagrangian function 59
Lagrangian function, in relativity 78
Lagrangian function, with magnetic field 77
Laplace's equation, for electrostatics 212
Laplace's equation, for heat flow 198
Laplace's equation, for velocity potential 190
Laplace's equation, for vibrating membrane 164
Laplace's equation, solution as surface integral 220
Laplacian 56
Laplacian, in curvilinear coordinates 201
Laplacian, in polar coordinates 164—165
Larmor precession 106
Legendre polynomials 158
Legendre polynomials, associated 171 409
Legendre's equation 171
Lenz's law 235
Level, energy 331
Lewis, electron pair bond 443
Line integrals 52—53
Linear differential equation, properties 36
Linear oscillator, phase space 81
linear polarization 266
Linear restoring force 19
Linear transformation 115
Lines of flow 186—188
Liouville's theorem 365—366
Liquids, dispersion in 278—280
Liquids, flow of 185—195
Liquids, gases, and solids, comparison 454
Lissajous figures 85
Longitudinal waves in elastic solid 178—179
Lorentz force 240
| Lorenz — Lorentz Law 280
M-space 364
Magnetic properties, quantum theory 555—558
magnetic quantum number 410
Magnetism 225—234
Many-body problem in wave mechanics 432—433
Matrices in quantum mechanics 374—384
Maxwell — Boltzmann distribution law 369
Maxwell's distribution of velocities 372
Maxwell's equations 235ff.
Mean values see Average values
Mechanical energy 39—46 52
Mechanics, statistical 364—371 454—470
Mechanics, wave nature of 335—336
Membrane, vibrations of 160ff.
Metals, classical theory, electron theory 280—283
Metals, nature of conduction process 494—497
Metals, plane waves of light in 255—256
Metals, quantum theory, electrons in 531—543
Metals, reflection of light from 267—268
Metals, relation to molecular orbitals 529—530
Metals, relation to valence compounds 449
Method of images 215—216
microcanonical ensemble 367—368
Microcanonical ensemble, and quantum statistics 466—467
Molecular refractivity 284
Molecules, electronic energy 518 522—530
Molecules, general structure and interatomic forces 439—451
Molecules, nuclear motions 480—486
Moment of inertia 95
Momentum operator in wave mechanics 380
Momentum space 83—84
Momentum, angular see Angular momentum
Momentum, generalized 61 69ff.
Morse potential curve for molecules 445—446
Moseley's law 437
Motion of rigid bodies 92ff.
Motion of rigid bodies, in several dimensions 46
Motion of rigid bodies, of several particles 117
Multiplets 390 509—527
Multiply periodic motion 63—64 84—86
Multiply periodic motion, in quantum theory 362—364
Multivalued potential 228
Mutual induction, coefficient of 245
Negative dispersion 558
Neutrons 407
Newton's law of motion 11 70—71
Nodal line, Euler's angles 101
Nodes in vibrating membrane 162 167
Non-central two-dimensional motion 83
Nonconservative systems 41
Nonuniform string 146—158
Normal coordinates 107—114
Normal coordinates, general theory 134—142
Normal coordinates, thermal vibrations of crystals 474—475
Normal dispersion 277
Normal functions, for vibrating string 139 151—153 (See
Normal incidence, reflection coefficient 260—262 267
Normal stresses 174
Normalization, coupled systems 112 116
Normalization, nonuniform string 152
Normalization, quantum theory 374—375 382—383
Normalization, weighted string 136
Nuclear atom 406—407
Nuclear charge, effective 425 431—432
Nuclear motions in molecules and solids 471—499
Nutation 104
Odd functions 126
Ohm's law in differential form 241
One-electron energies and wave functions 433—437
Open circuits 237
Operators in wave mechanics 380—382
Optics 258—333
Orbital degeneracy 416 520—521
Orbits, central motion 62—63
Orbits, hydrogen 412
Orthogonality, Bessel's functions 169—170
Orthogonality, coupled systems 116
Orthogonality, nonuniform string 151
Orthogonality, quantum theory 378
Orthogonality, sine and cosine 125
Orthogonality, weighted string 136
Oscillating dipole, radiation from 288ff.
Oscillations, of electric circuit 20
Oscillations, simple harmonic 19ff.
Oscillator strength 280
Oscillator, anharmonic 38
Oscillator, coupled 107ff.
Oscillator, linear, classical theory 19ff.
Oscillator, quantum theory 354—357 384
Oscillator, two-dimensional 84—86
Outer shielding 437
Overtone 120
Palladium group of elements 430
Parallel plate condenser 214—215
Paramagnetism 555—557
Partial derivative 54
Partial differential equation 121
Particular solution of differential equation 15
Penetrating orbits 419—422
Penetration force between atoms 442
Penetration interaction for  525
Penetration of potential barriers 351—353
Perfect gas, classical theory 461
Perfect gas, quantum theory 468ff.
Perihelion 62
Periodic force in vibrating string problem 142
Periodic motion 44
Periodic motion, multiply see Multiply periodic motion
Periodic system of the elements 426ff.
Permeability, magnetic 239
Perturbation theory, nonuniform string 154ff.
Perturbation theory, quantum mechanics 386—404
Phase change, on reflection, in total reflection 266
Phase change, on reflection, waves on string 158
Phase integral 88—91 359—360
Phase space 79ff. 358ff.
Phase space, for free electrons 532
Photoelectric emission 330 343 540
photons 330 332
Planck's constant 330
Planck's law of black-body radiation 395
Plane waves, elastic 176—178
Plane waves, optical 253—256 258—268
Planetary motion 60
Point transformation 87
Poiseuille's law 194—195
Poisson's equation 212 217ff.
Poisson's ratio 182
Polarizability of atoms and ions 275 439—441 549—555
Polarization, of dielectric 270—275
Polarization, of light 264—268 295
Pole of function 5
Polyatomic molecules 485—486
Polynomials, Legendre 158
Potential barriers, penetration 351—353
potential energy 41ff. 52—55
Potential, electrostatic 211—212
Potential, magnetostatic 225
Potential, retarded 303—305
Potential, vector 231
Potential, velocity 188ff.
Power series 1—8
Power-series solution, for differential equations 10—20
Power-series solution, for secular equation of perturbation theory 387—390
Poynting's vector 249—251
Precession 92—93 104—106
Predissociation 494
Pressure, elasticity 175ff.
Pressure, hydrodynamics 191ff.
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