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Slater J., Frank N. — Introduction to Theoretical Physics
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Íàçâàíèå: Introduction to Theoretical PhysicsÀâòîðû: Slater J., Frank N. Àííîòàöèÿ: The general plan of a book is often clearer if one knows how it came to be written. This book started from two separate sources. First, it originated in a year's lecture course of the same title, covering about the first two-thirds of the ground presented here, the part on classical physics. This course grew out of the conviction that the teaching of theoretical physics in a number of separate courses, as in mechanics, electromagnetic theory, potential theory, thermodynamics, tends to keep a student from seeing the unity of physics, and from appreciating the importance of applying principles developed for one branch of science to the problems of another.
ßçûê: Ðóáðèêà: Ôèçèêà /Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö ed2k: ed2k stats Ãîä èçäàíèÿ: 1933Êîëè÷åñòâî ñòðàíèö: 576Äîáàâëåíà â êàòàëîã: 26.04.2014Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
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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 in function space 139 Fourier series, double 162 Fourier series, generalization for multiply periodic motion 362 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 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 of a scalar 54 56 Gradient, in curvilinear coordinates 200 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 Heitler — 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 of state, in kinetic theory 458—459 Integral, line 52—53 Integral, phase or quantum 358—359 Intensity, of electric field 210 Intensity, of magnetic field 225 Intensity, of radiation, and correspondence principle 363 Intensity, of radiation, and selection principles 417 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 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, classical theory, plane waves of light in 255—256 Metals, classical theory, reflection of light from 267—268 Metals, quantum theory, electrons in 531—543 Metals, quantum theory, nature of conduction process 494—497 Metals, quantum theory, relation to molecular orbitals 529—530 Metals, quantum theory, 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, 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, linear, 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 system of the elements 426ff. Permeability, magnetic 239 Perturbation theory, nonuniform string 154ff. Perturbation theory, quantum mechanics 386—404 Phase change 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 vector 231 Potential velocity 188ff. Potential, electrostatic 211—212 Potential, magnetostatic 225 Potential, retarded 303—305 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 of solid 472 Pressure, elasticity 175ff. Pressure, hydrodynamics 191ff. Pressure, kinetic theory 459ff. Principal axes of inertia 96 Principal axes of stress 175 Principal axes, coupled systems 117 principal quantum number 410 Principle of least action 342 Probability relations in wave mechanics 333—337 Probability, a priori 370—371 Products, of inertia 95 Products, of vectors 49—51
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