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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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365 364 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, 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 of rotating rigid body 92ff. Angular momentum, in quantum mechanics 410ff. 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, rectangular membrane 161 Boundary conditions, string 122 Boundary conditions, wave mechanics, one-dimensional motion 350—351 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. 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 471ff. 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, equation of for electric flux 237 Continuity, equation of for flow of electricity 231 Continuity, equation of 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, curvilinear, gradient, divergence, Laplacian in 199—201 Coordinates, generalized, equations of motion in 59ff. 69ff. 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 of a vector 55 Curl of electric field 211 Curl, in curvilinear coordinates 229 Current, density of 231 Current, displacement 236—239 D'Alembert's equation 243 D'Alembert's equation, solution of 304 Damping of vibrating string 142—143 Damping, critical 28 Damping, logarithmic 28 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 in multiply periodic motion 363—364 Degeneracy in square membrane 168—170 Degeneracy, gas 469—470 Degeneracy, orbital, in atomic multiplets 521—522 Degeneracy, perturbation theory for 390—391 Degeneracy, spin 510 521—522 Density of energy in electromagnetic field 249—250 Density, charge 211—212 Density, current 231 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 of a vector 56 Divergence of electric field 210—211 Divergence, in curvilinear coordinates 200—201 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 of oscillating dipole 290—291 Electromagnetic field, energy in 246ff. 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 in statistical mechanics 365—369 Ensembles, canonical 368—369 456—458 entropy 460 Equation of motion, mechanical, generalized coordinates 59ff. 69ff. Equation of motion, of elastic solid 175—176 Equation of motion, of fluid, ideal 190—191 Equation of motion, of fluid, viscous 194 Equation of motion, of motion, of membrane 160 Equation of motion, of rigid body 96ff. Equation of motion, of string 120—121 Equation of motion, of string, in normal coordinates 140 Equation of motion, of string, variable 146—147 Equation of state of gases 454—470 Equation of state of gases, of solids 478—480 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 in normal functions for variable string 153 Expansion in wave functions 382—383 Expansion, Fourier 123—128 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 f-values for dispersion electrons 547—548 Falling body 11ff. Faraday's induction law 239 Fermat's principle 339—342 Fermi statistics 531ff. Fermi — Thomas atomic model 535—536 ferromagnetism 557—558 Field, vector 51 First law of thermodynamics 460 Flow, lines of 186
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