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| Planck M. — Introduction to Theoretical Physics |
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| Ïðåäìåòíûé óêàçàòåëü |
 space 365
A priori probability of a group of states 370—371
Absolute zero, crystals at 472ff.
Absorption coefficient, optical 256
Absorption probabilities, relation to dispersion electrons 549
Action variable, and contact transformation 88
Action variable, and contact transformation, relation to correspondence principle 359
Action, principle of least 342
Activation energy 490
Angle variable see Action variable
Angles, Euler's 100—101
Angular momentum in quantum mechanics 410ff.
Angular momentum in quantum mechanics of rotating rigid body 92ff.
Angular rotation, lack of vector character 100
Anharmonic oscillator 38
Anomalous dispersion see Dispersion
Antisymmetry of electronic wave function 504ff.
Aphelion 62
Approximate solution for non-uniform string 147—148 (See
Archimedes' principle 196
Artificial electric line, analogy to weighted string 132
Associated Legendre polynomials, or associated spherical harmonics 171 409
Atom, general discussion 406—437
Atom, model of Fermi and Thomas 535—536
Atom, perturbation theory applied to multiplets 390 518—522
Atom, repulsion and attraction between 439—452
Atomic refractivity 284
Atwood's machine 76
Auger effect 494
Average values, in phase space 372
Average values, of functions of coordinates and momenta, on wave mechanics 375 380
Axis of rotation, instantaneous 99
Azimuthal quantum number 410 519
Band spectra 480 483
Barkhausen effect 557
Beats, between transient and steady motion 34
Beats, with coupled oscillators 110
Bent beam 184
Bernoulli's equation 191—192
Bessel's equation and function 18 166 169 170
Bimolecular reactions 489—491
Binomial theorem 4
Biot — Savart law 233
Black-body radiation, Planck's law 395
Body forces, in elasticity 173
Body forces, in hydrodynamics 191
Bohr, correspondence principle 361
Bohr, frequency condition 360
Bohr, quantum rules 331
Bohr, theory of hydrogen 411
Boltzmann distribution law 369
Bose statistics 544
Boundary conditions, circular membrane 166
Boundary conditions, electromagnetic field 258—259
Boundary conditions, heat flow 205
Boundary conditions, motion 350—351
Boundary conditions, rectangular membrane 161
Boundary conditions, string 122
Boundary conditions, wave mechanics one-dimensional
canonical ensemble 368—369 456—458
Canonical ensemble, in quantum theory 467
Capacity of parallel plate condenser 215
Center of gravity, separation of coordinates for diatomic molecule 481
Central field 61—63
Central field, electron motion in 418ff.
Central field, phase space for 82
Chandler period 99
Characteristic functions and numbers 139 151 (See
Charge density 211—212
Chemical compounds 447—451
Chemical reactions 488ff.
Circuit, electric see Electric circuit
Circular membrane 164—168
circular polarization 266
Classical statistical mechanics in phase space 364ff
Coefficients, of Fourier series 124
Coefficients, of viscosity 193
Coherence of light 295—299
Collisions, quantum-theory treatment 402—404 488ff.
Combination tones 38
Commutation rule 380
Complex exponentials and complex numbers 22—26
Compounds, chemical 447—451
Compressibility, of crystal lattice 47ff.
Compressibility, of elastic solid 183—184
Condenser, energy in 246—247
Condenser, theory of parallel plate 214
Conduction of electricity in metals, electron theory 281
Conduction of electricity in metals, quantum theory 449 495—496 536ff.
Conductivity, specific electrical 241
Conductivity, thermal 197
Conductor of electricity, as an equipotential 215
Configuration space 83—84 117
Configuration, atomic 430
Conjugate foci 344
Conservative system, condition for 55
Constants of integration 11
Constraints 75—76
Contact transformation 87—90
Contact transformation, and correspondence principle 359—361
Continuity conditions, electromagnetic wave 258—259
Continuity conditions, vibrating string 156—157
Continuity, equation of 186—187
Continuity, for electric flux 237
Continuity, for flow of electricity 231
Continuity, relation to divergence of electric field 211
Continuous medium 120
Convection current 238
Convergence 5—8
Convergence, of Fourier series 125
Coordinates, curvilinear, curl in 229
Coordinates, generalized, equations of motion in 59ff. 69ff.
Coordinates, gradient, divergence, Laplacian in 199—201
Cornu's spiral 320ff.
Corpuscular theory of light 329
Correspondence principle 359—363
Correspondence principle and quantum statistics 466
Coulomb's law 210
Coupled systems 107ff.
Coupled systems, application to radioactivity and collisions 402—404
Cross section of atoms, collision 404
Crystals 472ff.
Crystals, valence binding and 449
Curl, in curvilinear coordinates 229
Curl, of a vector 55
Curl, of electric field 211
Current, density of 231
Current, displacement 236—239
Curvilinear coordinates see Coordinates curvilinear
D'Alembert's equation 243
D'Alembert's equation, solution of 304
Damping, critical 28
Damping, logarithmic 28
Damping, of vibrating string 142—143
Davisson and Germer, experiment of 336
de Broglie 336
Debye's theory of specific heats 478
Decrement, logarithmic 28
Deformation of elastic solid 180
Degeneracy, gas 469—470
Degeneracy, in multiply periodic motion 363—364
Degeneracy, in square membrane 168—170
Degeneracy, orbital, in atomic multiplets 521—522
Degeneracy, perturbation theory for 390—391
Degeneracy, spin 510 521—522
Density, charge 211—212
Density, current 231
Density, of energy in electromagnetic field 249—250
Derivative, directional and partial 54
Determinant form of electronic wave functions 504
| Determinant, expansion of 387
Determinantal equation for string 155
Diamagnetism 555
Diatomic molecules, electronic energy 522—523
Diatomic molecules, nuclear motion 481—485
dielectric constant 239
Dielectric constant, relation to polarization 275
Dielectric constant, temperature dependence 555
Dielectric, force in an inhomogeneous 257
Dielectrics, types of 553—554
Difference equations 129
Differential equations, general properties 10ff.
Differential equations, linear, properties 36
Differential equations, solution by Green's method 222—223
Diffraction 311—328
Dipole orientation, temperature dependence 554—555
Dipole, and dipole moment 221
Dipole, oscillating 288ff.
Direction cosines 49
Directional derivative 54
Discontinuities in functions, Fourier representation 126
Discontinuity, in electric field 214 222
Discontinuity, in electromagnetic field, boundary conditions 258—259
Discontinuity, in electrostatic potential 222
Dispersion, electron theory 270ff.
Dispersion, of electromagnetic waves in metals 256
Dispersion, quantum theory 546—549
Displacement current 236—239
Displacement, electric 239 274
Dissipation function 142—143
Dissipative forces 40
Divergence, in curvilinear coordinates 200—201
Divergence, of a vector 56
Divergence, of electric field 210—211
Divergence, physical meaning of 187
Double Fourier series 162
Double layer 221
Double pendulum 119
Doubly periodic motion 63—64 84—86
Doubly periodic motion, in quantum theory 362—364
Dulong and Petit's law 474
Dynamic stability 103
Effective nuclear charge 425 431—432
Einstein, formula for specific heat of solids 477
Einstein, photoelectric law 330
Einstein, probability coefficients for radiation 393—399
Einstein, relation between energy and mass 252
Elastic constants 181
Elastic electronic collisions 402—403
Elastic solid 172—183
Elastic waves 179—180
Electric circuit, oscillations 20 28ff.
Electric circuit, with inductance and resistance 16
Electric conductivity see Conduction of electricity in metals
Electric displacement 239 274
electric field 210—214
Electric field, in spherical cavity 279
Electric moment of an atom, matrix component 376
Electromagnetic field, energy in 246ff.
Electromagnetic field, of oscillating dipole 290—291
Electromagnetic field, quantization of 399
Electromagnetic field, wave equation for 243—244 253
Electromagnetic induction 235—236
Electromagnetic units 227
Electromagnetic waves, in metals 256
Electromagnetic waves, polarization of 262
Electromagnetic waves, reflection and refraction of 258ff.
Electromagnetic waves, spherical 286ff.
Electromotive force 212 250—251
Electron collisions 402—404
Electron emission from metals 352—353 539—540
Electron energy, atoms 435—437 518—522
Electron energy, metals 494—497 536ff
Electron energy, molecules 483 522—530
Electron equivalence and exclusion principle 519—520
Electron excitation, collisions of atoms with 491ff.
Electron interactions 501ff.
Electron pair valence bond 443—444
Electron shells in atoms 425
Electron spin 443 507ff.
Electron theory and dispersion 270ff.
Electron wave functions, determinant form and antisymmetry 504—505
Electron, radius of 252
Electrostatic field, energy in 247
Electrostatic potential 211—212 222
Electrostatic problems, and potential theory 210—217
Ellipsoid of inertia 95—96
Elliptical polarization 266
Emission, thermionic 352—353 539—540
Energy density of radiation, mean value 393
Energy levels, Bohr's hypothesis 331
Energy surface in phase space 80
Energy, electrical 246—256
Energy, internal 460
Energy, mechanical 39—46 52
Energy, of activation 490
Energy, of atoms 435—437 518—522
Energy, of ionic crystals 473
Energy, of metals 494—497 536ff.
Energy, of molecules 483 522—530
Ensembles, canonical 368—369 456—458
Ensembles, in statistical mechanics 365—369
entropy 460
Equation, in normal coordinates 140
Equation, mechanical, generalized coordinates 59ff. 69ff.
Equation, of continuity see Continuity equation
Equation, of fluid, ideal 190—191
Equation, of membrane 160
Equation, of motion, of elastic solid 175—176
Equation, of rigid body 96ff.
Equation, of solids 478—480
Equation, of state of gases 454—470
Equation, of string 120—121
Equation, variable 146—147
Equation, viscous 194
Equations, difference 129
Equilibrium, stable 45
Equinoxes, precession of 105
Equipotential surfaces 54 215
Equivalence of electrons, and exclusion principle 519—520
Ergodic motion 81
Euler, angles 100—101
Euler, equations for rigid body 98
Euler, equations of hydrodynamics 190—191
Euler, period 99
Even functions 126
Exclusion principle, free electrons 531—533
Exclusion principle, general discussion 502—516
Exclusion principle, periodic table 426
Exclusion principle, valence attraction 443—444
Expansion, Fourier 123—128
Expansion, in normal functions for variable string 153
Expansion, in wave functions 382—383
Expansion, Taylor's 4—5
Exponential integral function 18
Exponential solution, vibrating particle 21
Exponential solution, vibrating rectangular membrane 161
Exponential solution, vibrating string 121
Exponential, complex 22
External forces, generalized coordinates 69—70
External forces, motion under 35—36
External forces, on coupled oscillators 113
External radiation field, perturbation of atoms by 392—393
Falling body 11ff.
Faraday's induction law 239
Fermat's principle 339—342
Fermi statistics 53Iff.
Fermi — Thomas atomic model 535—536
ferromagnetism 557—558
Field, central see Central field
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