GENERAL PHYSICS: AN ELEMENTARY TREATISE ON NATURAL PHILOSOPHY
CONTENTS PART I 1 ELEMENTS OF THERMODYNAMICS THE LAWS OF THERMODYNAMICS THERMODYNAMIC POTENTIALS COMPARISON BETWEEN CP AND CV FLUCTUATIONS STABILITY SPECI?C HEAT AND COMPRESSIBILITY THE IDEAL MONATOMIC GAS BIBLIOGRAPHICAL NOTES PROBLEMS 2 THE CLASSICAL ENSEMBLES TIME AVERAGES AND ENSEMBLE AVERAGES THE MICROCANONICAL ENSEMBLE THE CANONICAL ENSEMBLE TWO EXAMPLES 3 ASPECTS OF QUANTUM MECHANICS SOME GENERAL PROPERTIES THE FREE PARTICLE THE HARMONIC OSCILLATOR EVOLUTION KERNELS AND PATH INTEGRALS THE FREE PARTICLE ON A CIRCLE THE HYDROGEN ATOM THE WKB APPROXIMATION INSTANTONS THE DENSITY MATRIX 4 SYSTEMS OF QUANTUM OSCILLATORS THE EFFECT OF AN ENERGY GAP BLACKBODY RADIATION DEBYE THEORY OF SPECI?C HEATS 5 VACUUM FLUCTUATIONS THE CASIMIR EFFECT THE LAMB SHIFT THE COSMOLOGICAL-CONSTANT PROBLEM 6 THE VAN DER WAALS THEORY THE ROLE OF INTERACTIONS THE PARTITION FUNCTION THE VAN DER WAALS EQUATION OF STATE PHASE EQUILIBRIA AND THE VAN DER WAALS GAS THE GIBBS PHASE RULE 7 THE GRAND CANONICAL ENSEMBLE THE GRAND CANONICAL EQUATIONS TWO INSTRUCTIVE EXAMPLES 8 QUANTUM STATISTICS IDENTICAL PARTICLES IN QUANTUM MECHANICS IDENTICAL OSCILLATORS IN THE CANONICAL ENSEMBLE NONRELATIVISTIC FERMI AND BOSE GASES HIGH-TEMPERATURE LIMITS THE FREE FERMI GAS AT LOW TEMPERATURES FERMI GASES IN SOLIDS THE FREE BOSE GAS AT LOW TEMPERATURES BOSONS IN AN EXTERNAL POTENTIAL ATOMIC AND MOLECULAR SPECTRA SOME APPLICATIONS 9 MAGNETISM IN MATTER, I ORBITS IN A UNIFORM MAGNETIC FIELD LANDAU LEVELS LANDAU DIAMAGNETISM HIGH-T PARAMAGNETISM LOW-T PARAMAGNETISM CONTENTS 10 MAGNETISM IN MATTER, II EFFECTIVE SPIN–SPIN INTERACTIONS THE ONE-DIMENSIONAL ISING MODEL 10 3 THE ROLE OF BOUNDARY CONDITIONS THE CONTINUUM LIMIT THE IN?NITE-RANGE ISING MODEL MEAN-FIELD AND VARIATIONAL METHOD MEAN-FIELD ANALYSIS OF THE ISING MODEL CRITICAL EXPONENTS AND SCALING RELATIONS 10 9 LANDAU–GINZBURG THEORY 10 10 A TOY MODEL OF A PHASE TRANSITION PART II 11 THE 2D ISING MODEL CLOSED POLYGONS IN TWO DIMENSIONS 11 2 KRAMERS–WANNIER DUALITY THE ONSAGER SOLUTION 12 THE HEISENBERG SPIN CHAIN NONINTERACTING SYSTEMS 12 2 THE SPECTRUM OF THE HEISENBERG MODEL THERMODYNAMIC BETHE ANSATZ 13 CONFORMAL INVARIANCE AND THE RENORMALIZATION GROUP CONFORMAL INVARIANCE 1D ISING MODEL AND RENORMALIZATION GROUP 13 3 PERCOLATION 13 4 THE XY MODEL ?-EXPANSION AND THE D = 3 ISING MODEL 14 THE APPROACH OF EQUILIBRIUM THE LANGEVIN EQUATION THE FOKKER–PLANCK EQUATION THE BOLTZMANN EQUATION 14 4 THE H-THEOREM 14 5 TRANSPORT PHENOMENA NONDISSIPATIVE HYDRODYNAMICS THE EMERGENCE OF VISCOSITY THE FLUCTUATION–DISSIPATION THEOREM