Holdings: A guide to physics problems

A guide to physics problems: 2 Thermodynamics, statistical physics, and quantum mechanics

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Bibliographic Details
Main Authors:	Cahn, Sidney B. (Author), Nadgorny, Boris E. (Author), Mahan, Gerald D. 1937- (Author)
Format:	Book
Language:	English
Published:	New York ; London Plenum Press 1997
Online Access:	Inhaltsverzeichnis
Physical Description:	XXIV, 349 S. Ill., graph. Darst.
ISBN:	030645291X

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245	1	0	\|a A guide to physics problems \|n 2 \|p Thermodynamics, statistical physics, and quantum mechanics \|c Sidney B. Cahn, Gerald D. Mahan and Boris E. Nadgorny
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700	1		\|a Nadgorny, Boris E. \|e Verfasser \|0 (DE-588)172766222 \|4 aut
700	1		\|a Mahan, Gerald D. \|d 1937- \|e Verfasser \|0 (DE-588)13980885X \|4 aut
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adam_text	IMAGE 1 TO PHVSICS PSSOSSLCMS PART 2 THERMODYNAMICS, STATISTICAL PHYSICS, A ND Q U A N T UM MECHANICS SIDNEY SS. CAHN NEW YORK UNIVERSITY NEW YORK, NEW YORK GERALD D. MAHAN UNIVERSITY OF TENNESSEE KNOXVILLE, TENNESSEE, AND OAK RIDGE NATIONAL LABORATORY OAK RIDGE, TENNESSEE AND SSORIS . NADGORNY NAVAL RESEARCH LABORATORY WASHINGTON, D.C. PLENUM PRESS NEW YORK AND LONDON IMAGE 2 CONTENTS PART I: PROBLEMS 4. THERMODYNAMICS AND STATISTICAL PHYSICS 3 INTRODUCTORY THERMODYNAMICS 3 4.1. WHY BOTHER? (MOSCOW PHYS-TECH) 3 4.2. SPACE STATION PRESSURE (MIT) 4 4.3. BARON VON MUENCHAUSEN AND INTERGALACTIC TRAVEL ( MOSCOW PHYS-TECH) 4 4.4. RAILWAY TANKER (MOSCOW PHYS-TECH) 5 4.5. MAGIC CARPET (MOSCOW PHYS-TECH) 5 4.6. TEACUP ENGINE (PRINCETON, MOSCOW PHYS-TECH) 6 4.7. GRAND LUNAR CANALS (MOSCOW PHYS-TECH) 7 4.8. FROZEN SOLID (MOSCOW PHYS-TECH) 7 4.9. TEA IN THERMOS (MOSCOW PHYS-TECH) 8 4.10. HEAT LOSS (MOSCOW PHYS-TECH) 8 4.11. LIQUID-SOLID-LIQUID (MOSCOW PHYS-TECH) 9 4.12. HYDROGEN ROCKET (MOSCOW PHYS-TECH) 9 4.13. MAXWELL-BOLTZMANN AVERAGES (MIT) 9 4.14. SLOWLY LEAKING BOX (MOSCOW PHYS-TECH, STONY BROOK (*,B)) 9 4.15. SURFACE CONTAMINATION (WISCONSIN-MADISON) 10 4.16. BELL JAR (MOSCOW PHYS-TECH) 10 4.17. HOLE IN WALL (PRINCETON) 11 4.18. BALLAST VOLUME PRESSURE (MOSCOW PHYS-TECH) 11 4.19. ROCKET IN DRAG (PRINCETON) 12 4.20. ADIABATIC ATMOSPHERE (BOSTON, MARYLAND) 13 XIII IMAGE 3 XIV CONTENTS 4.21. ATMOSPHERIC ENERGY (RUTGERS) 13 4.22. PUNCTURE (MOSCOW PHYS-TECH) 14 HEAT AND WORK 14 4.23. CYLINDER WITH MASSIVE PISTON (RUTGERS, MOSCOW PHYS-TECH) 14 4.24. SPRING CYLINDER (MOSCOW PHYS-TECH) 15 4.25. ISOTHERMAL COMPRESSION AND ADIABATIC EXPANSION OF IDEAL GAS (MICHIGAN) 15 4.26. ISOCHORIC COOLING AND ISOBARIC EXPANSION (MOSCOW PHYS-TECH) 16 4.27. VENTING (MOSCOW PHYS-TECH) 16 4.28. CYLINDER AND HEAT BATH (STONY BROOK) 16 4.29. HEAT EXTRACTION (MIT, WISCONSIN-MADISON) 16 4.30. HEAT CAPACITY RATIO (MOSCOW PHYS-TECH) 17 4.31. OTTO CYCLE (STONY BROOK) 17 4.32. JOULE CYCLE (STONY BROOK) 18 4.33. DIESEL CYCLE (STONY BROOK) 18 4.34. MODIFIED JOULE-THOMSON (BOSTON) 19 IDEAL GAS AND CLASSICAL STATISTICS 19 4.35. POISSON DISTRIBUTION IN IDEAL GAS (COLORADO) 19 4.36. POLARIZATION OF IDEAL GAS (MOSCOW PHYS-TECH) 20 4.37. TWO-DIPOLE INTERACTION (PRINCETON) 20 4.38. ENTROPY OF IDEAL GAS (PRINCETON) 20 4.39. CHEMICAL POTENTIAL OF IDEAL GAS (STONY BROOK) 21 4.40. GAS IN HARMONIE WELL (BOSTON) 21 4.41. IDEAL GAS IN ONE-DIMENSIONAL POTENTIAL (RUTGERS) 21 4.42. EQUIPARTITION THEOREM (COLUMBIA, BOSTON) 21 4.43. DIATOMIC MOLECULES IN TWO DIMENSIONS (COLUMBIA) 22 4.44. DIATOMIC MOLECULES IN THREE DIMENSIONS (STONY BROOK, MICHIGAN STATE) 23 4.45. TWO-LEVEL SYSTEM (PRINCETON) 24 4.46. ZIPPER (BOSTON) 24 4.47. HANGING CHAIN (BOSTON) 24 4.48. MOLECULAR CHAIN (MIT, PRINCETON, COLORADO) 25 NONIDEAL GAS 26 4.49. HEAT CAPACITIES (PRINCETON) 26 4.50. RETURN OF HEAT CAPACITIES (MICHIGAN) 26 4.51. NONIDEAL GAS EXPANSION (MICHIGAN STATE) 27 4.52. VAN DER WAALS (MIT) 27 IMAGE 4 4.53. CRITICAL PARAMETERS (STONY BROOK) 28 M I X T U R ES A ND P H A SE S E P A R A T I ON 28 4.54. ENTROPY OF MIXING (MICHIGAN, MIT) 28 4.55. LEAKY BALLOON (MOSCOW PHYS-TECH) 28 4.56. OSMOTIC PRESSURE (MIT) 28 4.57. CLAUSIUS-CLAPEYRON (STONY BROOK) 29 4.58. PHASE TRANSITION (MIT) 30 4.59. HYDROGEN SUBLIMATION IN INTERGALACTIC SPACE (PRINCETON) 30 4.60. GAS MIXTURE CONDENSATION (MOSCOW PHYS-TECH) 30 4.61. AIR BUBBLE COALESCENCE (MOSCOW PHYS-TECH) 31 4.62. SOAP BUBBLE COALESCENCE (MOSCOW PHYS-TECH) 31 4.63. SOAP BUBBLES IN EQUILIBRIUM (MOSCOW PHYS-TECH) 31 Q U A N T UM STATISTICS 32 4.64. FERMI ENERGY OF A ID ELECTRON GAS (WISCONSIN-MADISON) 32 4.65. TWO-DIMENSIONAL FERMI GAS (MIT, WISCONSON-MADISON) 32 4.66. NONRELATIVISTIC ELECTRON GAS (STONY BROOK, WISCONSIN-MADISON, MICHIGAN STATE) 32 4.67. ULTRARELATIVISTIC ELECTRON GAS (STONY BROOK) 33 4.68. QUANTUM CORRECTIONS TO EQUATION OF STATE (MIT, PRINCETON, STONY BROOK) 33 4.69. SPEED OF SOUND IN QUANTUM GASES (MIT) 33 4.70. BOESE CONDENSATION CRITICAL PARAMETERS (MIT) 34 4.71. BOESE CONDENSATION (PRINCETON, STONY BROOK) 34 4.72. HOW HOT THE SUN? (STONY BROOK) 34 4.73. RADIATION FORCE (PRINCETON, MOSCOW PHYS-TECH, MIT) .... 35 4.74. HOT BOX AND PARTICLE CREATION (BOSTON, MIT) 35 4.75. D-DIMENSIONAL BLACKBODY CAVITY (MIT) 36 4.76. FERMI AND BOESE GAS PRESSURE (BOSTON) 36 4.77. BLACKBODY RADIATION AND EARLY UNIVERSE (STONY BROOK).. 37 4.78. PHOTON GAS (STONY BROOK) 37 4.79. DARK MATTER (RUTGERS) 38 4.80. EINSTEIN COEFFICIENTS (STONY BROOK) 39 4.81. ATOMIC PARAMAGNETISM (RUTGERS, BOSTON) 39 4.82. PARAMAGNETISM AT HIGH TEMPERATURE (BOSTON) 40 4.83. ONE-DIMENSIONAL ISING MODEL (TENNESSEE) 40 4.84. THREE ISING SPINS (TENNESSEE) 40 4.85. N INDEPENDENT SPINS (TENNESSEE) 41 4.86. N INDEPENDENT SPINS, REVISITED (TENNESSEE) 41 4.87. FERROMAGNETISM (MARYLAND, MIT) 41 4.88. SPIN WAVES IN FERROMAGNETS (PRINCETON, COLORADO) 42 IMAGE 5 XVI CONTENTS FLUCTUATIONS 42 4.89. MAGNETIZATION FLUCTUATION (STONY BROOK) 42 4.90. GAS FLUCTUATIONS (MOSCOW PHYS-TECH) 43 4.91. QUIVERING MIRROR (MIT, RUTGERS, STONY BROOK) 43 4.92. ISOTHERMAL COMPRESSIBILITY AND MEAN SQUARE FLUCTUATION (STONY BROOK) 43 4.93. ENERGY FLUCTUATION IN CANONICAL ENSEMBLE (COLORADO, STONY BROOK) 44 4.94. NUMBER FLUCTUATIONS (COLORADO (A,B), MOSCOW PHYS-TECH (C)) 44 4.95. WIGGLING WIRE (PRINCETON) 44 4.96. LC VOLTAGE NOISE (MIT, CHICAGO) 44 APPLICATIONS TO SOLID STATE 45 4.97. THERMAL EXPANSION AND HEAT CAPACITY (PRINCETON) 45 4.98. SCHOTTKY DEFECTS (MICHIGAN STATE, MIT) 45 4.99. FRENKEL DEFECTS (COLORADO, MIT) 45 4.100. TWO-DIMENSIONAL DEBYE SOLID (COLUMBIA, BOSTON) 46 4.101. EINSTEIN SPECIFIC HEAT (MARYLAND, BOSTON) 46 4.102. GAS ADSORPTION (PRINCETON, MIT, STANFORD) 47 4.103. THERMIONIC EMISSION (BOSTON) 47 4.104. ELECTRONS AND HOLES (BOSTON, MOSCOW PHYS-TECH) 47 4.105. ADIABATIC DEMAGNETIZATION (MARYLAND) 48 4.106. CRITICAL FIELD IN SUPERCONDUCTOR (STONY BROOK, CHICAGO) 49 5. Q U A N T UM MECHANICS 51 ONE-DIMENSIONAL POTENTIALS 51 5.1. SHALLOW SQUARE WELL I (COLUMBIA) 51 5.2. SHALLOW SQUARE WELL II (STONY BROOK) 52 5.3. ATTRACTIVE DELTA FUNCTION POTENTIAL I (STONY BROOK) 52 5.4. ATTRACTIVE DELTA FUNCTION POTENTIAL II (STONY BROOK) 53 5.5. TWO DELTA FUNCTION POTENTIALS (RUTGERS) 54 5.6. TRANSMISSION THROUGH A DELTA FUNCTION POTENTIAL (MICHIGAN STATE, MIT, PRINCETON) 54 5.7. DELTA FUNCTION IN A BOX (MIT) 54 5.8. PARTICLE IN EXPANDING BOX (MICHIGAN STATE, MIT, STONY BROOK) 55 5.9. ONE-DIMENSIONAL COULOMB POTENTIAL (PRINCETON) 55 5.10. TWO ELECTRONS IN A BOX (MIT) 55 5.11. SQUARE WELL (MIT) 56 5.12. GIVEN THE EIGENFUNCTION (BOSTON, MIT) 56 IMAGE 6 CONTENTS XVII 5.13. COMBINED POTENTIAL (TENNESSEE) 56 HARMONIE OSCILLATOR 56 5.14. GIVEN A GAUSSIAN (MIT) 56 5.15. HARMONIE OSCILLATOR ABCS (STONY BROOK) 57 5.16. NUMBER STATES (STONY BROOK) 57 5.17. COUPLED OSCILLATORS (MIT) 58 5.18. TIME-DEPENDENT HARMONIE OSCILLATOR I (WISCONSIN-MADISON) 58 5.19. TIME-DEPENDENT HARMONIE OSCILLATOR II (MICHIGAN STATE) 59 5.20. SWITCHED-ON FIELD (MIT) 59 5.21. CUT THE SPRING! (MIT) 60 ANGULAR MOMENTUNI AND SPIN 60 5.22. GIVEN ANOTHER EIGENFUNCTION (STONY BROOK) 60 5.23. ALGEBRA OF ANGULAR MOMENTUM (STONY BROOK) 60 5.24. TRIPLET SQUARE WELL (STONY BROOK) 61 5.25. DIPOLAR INTERACTIONS (STONY BROOK) 61 5.26. SPIN-DEPENDENT 1/R POTENTIAL (MIT) 61 5.27. THREE SPINS (STONY BROOK) 62 5.28. CONSTANT MATRIX PERTURBATION (STONY BROOK) 62 5.29. ROTATING SPIN (MARYLAND, MIT) 63 5.30. NUCLEAR MAGNETIC RESONANCE (PRINCETON, STONY BROOK).... 63 VARIATIONAL CALCULATIONS 63 5.31. ANHARMONIC OSCILLATOR (TENNESSEE) 63 5.32. LINEAR POTENTIAL I (TENNESSEE) 63 5.33. LINEAR POTENTIAL II (MIT, TENNESSEE) 64 5.34. RETURN OF COMBINED POTENTIAL (TENNESSEE) 64 5.35. QUARTIC IN THREE DIMENSIONS (TENNESSEE) 64 5.36. HALVED HARMONIE OSCILLATOR (STONY BROOK, CHICAGO (B), PRINCETON (B)) 64 5.37. HELIUM ATOM (TENNESSEE) 65 PERTURBATION THEORY 66 5.38. MOMENTUM PERTURBATION (PRINCETON) 66 5.39. RAMP IN SQUARE WELL (COLORADO) 66 5.40. CIRCLE WITH FIELD (COLORADO, MICHIGAN STATE) 66 5.41. ROTATOR IN FIELD (STONY BROOK) 67 5.42. FINITE SIZE OF NUCLEUS (MARYLAND, MICHIGAN STATE, PRINCETON, STONY BROOK) 67 5.43. U AND U 2 PERTURBATION (PRINCETON) 67 5.44. RELATIVISTIC OSCILLATOR (MIT, MOSCOW PHYS-TECH, STONY BROOK (A)) 68 IMAGE 7 5.45. SPIN INTERACTION (PRINCETON) 68 5.46. SPIN-ORBIT INTERACTION (PRINCETON) 68 5.47. INTERACTING ELECTRONS (MIT) 69 5.48. STARK EFFECT IN HYDROGEN (TENNESSEE) 69 5.49. N = 2 HYDROGEN WITH ELECTRIC AND MAGNETIC FIELDS (MIT) 69 5.50. HYDROGEN IN CAPACITOR (MARYLAND, MICHIGAN STATE) 70 5.51. HARMONIE OSCILLATOR IN FIELD (MARYLAND, MICHIGAN STATE) 70 5.52. /3-DECAY OF TRITIUM (MICHIGAN STATE) 70 W KB 71 5.53. BOUNCING BALL (MOSCOW PHYS-TECH, CHICAGO) 71 5.54. TRUNCATED HARMONIE OSCILLATOR (TENNESSEE) 71 5.55. STRETCHED HARMONIE OSCILLATOR (TENNESSEE) 71 5.56. RAMP POTENTIAL (TENNESSEE) 72 5.57. CHARGE AND PLANE (STONY BROOK) 72 5.58. RAMP PHASE SHIFT (TENNESSEE) 73 5.59. PARABOLIC PHASE SHIFT (TENNESSEE) 73 5.60. PHASE SHIFT FOR INVERSE QUADRATIC (TENNESSEE) 73 SCATTERING THEORY 73 5.61. STEP-DOWN POTENTIAL (MICHIGAN STATE, MIT) 73 5.62. STEP-UP POTENTIAL (WISCONSIN-MADISON) 74 5.63. REPULSIVE SQUARE WELL (COLORADO) 75 5.64. 3D DELTA FUNCTION (PRINCETON) 75 5.65. TWO-DELTA-FUNCTION SCATTERING (PRINCETON) 76 5.66. SCATTERING OF TWO ELECTRONS (PRINCETON) 76 5.67. SPIN-DEPENDENT POTENTIALS (PRINCETON) 76 5.68. RAYLEIGH SCATTERING (TENNESSEE) 77 5.69. SCATTERING FROM NEUTRAL CHARGE DISTRIBUTION (PRINCETON) 77 GENERAL 77 5.70. SPHERICAL BOX WITH HOLE (STONY BROOK) 77 5.71. ATTRACTIVE DELTA FUNCTION IN 3D (PRINCETON) 78 5.72. IONIZING DEUTERIUM (WISCONSIN-MADISON) 78 5.73. COLLAPSED STAR (STANFORD) 78 5.74. ELECTRON IN MAGNETIC FIELD (STONY BROOK, MOSCOW PHYS-TECH) 79 5.75. ELECTRIC AND MAGNETIC FIELDS (PRINCETON) 79 5.76. JOSEPHSON JUNCTION (BOSTON) 79 IMAGE 8 CONTENTS XIX PART II: SOLUTIONS 4. THERMODYNAMICS AND STATISTICAL PHYSICS 83 INTRODUCTORY THERMODYNAMICS 83 4.1. WHY BOTHER? (MOSCOW PHYS-TECH) 83 4.2. SPACE STATION PRESSURE (MIT) 84 4.3. BARON VON MUENCHAUSEN AND INTERGALACTIC TRAVEL (MOSCOW PHYS-TECH) 84 4.4. RAILWAY TANKER (MOSCOW PHYS-TECH) 85 4.5. MAGIC CARPET (MOSCOW PHYS-TECH) 87 4.6. TEACUP ENGINE (PRINCETON, MOSCOW PHYS-TECH) 89 4.7. GRAND LUNAR CANALS (MOSCOW PHYS-TECH) 90 4.8. FROZEN SOLID (MOSCOW PHYS-TECH) 92 4.9. TEA IN THERMOS (MOSCOW PHYS-TECH) 92 4.10. HEAT LOSS (MOSCOW PHYS-TECH) 94 4.11. LIQUID-SOLID-LIQUID (MOSCOW PHYS-TECH) 95 4.12. HYDROGEN ROCKET (MOSCOW PHYS-TECH) 96 4.13. MAXWELL-BOLTZMANN AVERAGES (MIT) 97 4.14. SLOWLY LEAKING BOX (MOSCOW PHYS-TECH, STONY BROOK (A,B)) 99 4.15. SURFACE CONTAMINATION (WISCONSIN-MADISON) 101 4.16. BELL JAR (MOSCOW PHYS-TECH) 102 4.17. HOLE IN WALL (PRINCETON) 103 4.18. BALLAST VOLUME PRESSURE (MOSCOW PHYS-TECH) 104 4.19. ROCKET IN DRAG (PRINCETON) 106 4.20. ADIABATIC ATMOSPHERE (BOSTON, MARYLAND) 107 4.21. ATMOSPHERIC ENERGY (RUTGERS) 108 4.22. PUNCTURE (MOSCOW PHYS-TECH) 110 HEAT AND WORK 112 4.23. CYLINDER WITH MASSIVE PISTON (RUTGERS, MOSCOW PHYS-TECH) 112 4.24. SPRING CYLINDER (MOSCOW PHYS-TECH) 113 4.25. ISOTHERMAL COMPRESSION AND ADIABATIC EXPANSION OF IDEAL GAS (MICHIGAN) 115 4.26. ISOCHORIC COOLING AND ISOBARIC EXPANSION (MOSCOW PHYS-TECH) 117 4.27. VENTING (MOSCOW PHYS-TECH) 118 4.28. CYLINDER AND HEAT BATH (STONY BROOK) 119 4.29. HEAT EXTRACTION (MIT, WISCONSIN-MADISON) 120 4.30. HEAT CAPACITY RATIO (MOSCOW PHYS-TECH) 122 IMAGE 9 XX CONTENTS 4.31. OTTO CYCLE (STONY BROOK) 123 4.32. JOULE CYCLE (STONY BROOK) 125 4.33. DIESEL CYCLE (STONY BROOK) 126 4.34. MODIFIED JOULE-THOMSON (BOSTON) 127 IDEAL GAS AND CLASSICAL STATISTICS 128 4.35. POISSON DISTRIBUTION IN IDEAL GAS (COLORADO) 128 4.36. POLARIZATION OF IDEAL GAS (MOSCOW PHYS-TECH) 130 4.37. TWO-DIPOLE INTERACTION ( PRINCETON) 131 4.38. ENTROPY OF IDEAL GAS (PRINCETON) 133 4.39. CHEMICAL POTENTIAL OF IDEAL GAS (STONY BROOK) 135 4.40. GAS IN HARMONIE WELL (BOSTON) 136 4.41. IDEAL GAS IN ONE-DIMENSIONAL POTENTIAL (RUTGERS) 137 4.42. EQUIPARTITION THEOREM (COLUMBIA, BOSTON) 138 4.43. DIATOMIC MOLECULES IN TWO DIMENSIONS (COLUMBIA) 141 4.44. DIATOMIC MOLECULES IN THREE DIMENSIONS (STONY BROOK, MICHIGAN STATE) 142 4.45. TWO-LEVEL SYSTEM (PRINCETON) 146 4.46. ZIPPER (BOSTON) 147 4.47. HANGING CHAIN (BOSTON) 148 4.48. MOLECULAR CHAIN (MIT, PRINCETON, COLORADO) 149 NONIDEAL GAS 151 4.49. HEAT CAPACITIES (PRINCETON) 151 4.50. RETURN OF HEAT CAPACITIES (MICHIGAN) 152 4.51. NONIDEAL GAS EXPANSION (MICHIGAN STATE) 154 4.52. VAN DER WAALS (MIT) 155 4.53. CRITICAL PARAMETERS (STONY BROOK) 156 MIXTURES AND PHASE SEPARATION 158 4.54. ENTROPY OF MIXING (MICHIGAN, MIT) 158 4.55. LEAKY BALLOON (MOSCOW PHYS-TECH) 159 4.56. OSMOTIC PRESSURE (MIT) 160 4.57. CLAUSIUS-CLAPEYRON (STONY BROOK) 162 4.58. PHASE TRANSITION (MIT) 163 4.59. HYDROGEN SUBLIMATION IN INTERGALACTIC SPACE (PRINCETON) 164 4.60. GAS MIXTURE CONDENSATION (MOSCOW PHYS-TECH) 165 4.61. AIR BUBBLE COALESCENCE (MOSCOW PHYS-TECH) 166 4.62. SOAP BUBBLE COALESCENCE (MOSCOW PHYS-TECH) 167 4.63. SOAP BUBBLES IN EQUILIBRIUM (MOSCOW PHYS-TECH) 168 QUANTUM STATISTICS 170 4.64. FERMI ENERGY OF A ID ELECTRON GAS (WISCONSIN-MADISON) 170 4.65. TWO-DIMENSIONAL FERMI GAS (MIT, WISCONSON-MADISON) 171 IMAGE 10 CONTENTS XXI 4.66. NONRELATIVISTIC ELECTRON GAS (STONY BROOK, WISCONSIN-MADISON, MICHIGAN STATE) 172 4.67. ULTRARELATIVISTIC ELECTRON GAS (STONY BROOK) 173 4.68. QUANTUM CORRECTIONS TO EQUATION OF STATE (MIT, PRINCETON, STONY BROOK) 174 4.69. SPEED OF SOUND IN QUANTUM GASES (MIT) 177 4.70. BOESE CONDENSATION CRITICAL PARAMETERS (MIT) 180 4.71. BOESE CONDENSATION (PRINCETON, STONY BROOK) 181 4.72. HOW HOT THE SUN? (STONY BROOK) 182 4.73. RADIATION FORCE (PRINCETON, MOSCOW PHYS-TECH, MIT) .... 183 4.74. HOT BOX AND PARTICLE CREATION (BOSTON, MIT) 185 4.75. D-DIMENSIONAL BLACKBODY CAVITY (MIT) 189 4.76. FERMI AND BOESE GAS PRESSURE (BOSTON) 189 4.77. BLACKBODY RADIATION AND EARLY UNIVERSE (STONY BROOK).. 191 4.78. PHOTON GAS (STONY BROOK) 192 4.79. DARK MATTER (RUTGERS) 194 4.80. EINSTEIN COEFFICIENTS (STONY BROOK) 196 4.81. ATOMIC PARAMAGNETISM (RUTGERS, BOSTON) 197 4.82. PARAMAGNETISM AT HIGH TEMPERATURE (BOSTON) 200 4.83. ONE-DIMENSIONAL ISING MODEL (TENNESSEE) 203 4.84. THREE ISING SPINS (TENNESSEE) 204 4.85. N INDEPENDENT SPINS (TENNESSEE) 204 4.86. N INDEPENDENT SPINS, REVISITED (TENNESSEE) 205 4.87. FERROMAGNETISM (MARYLAND, MIT) 205 4.88. SPIN WAVES IN FERROMAGNETS (PRINCETON, COLORADO) 206 FLUCTUATIONS 207 4.89. MAGNETIZATION FLUCTUATION (STONY BROOK) 207 4.90. GAS FLUCTUATIONS (MOSCOW PHYS-TECH) 209 4.91. QUIVERING MIRROR (MIT, RUTGERS, STONY BROOK) 210 4.92. ISOTHERMAL COMPRESSIBILITY AND MEAN SQUARE FLUCTUATION (STONY BROOK) 210 4.93. ENERGY FLUCTUATION IN CANONICAL ENSEMBLE (COLORADO, STONY BROOK) 212 4.94. NUMBER FLUCTUATIONS (COLORADO (A,B), MOSCOW PHYS-TECH (C)) 216 4.95. WIGGLING WIRE (PRINCETON) 219 4.96. LC VOLTAGE NOISE (MIT, CHICAGO) 221 APPLICATIONS TO SOLID STATE 223 4.97. THERMAL EXPANSION AND HEAT CAPACITY (PRINCETON) 223 4.98. SCHOTTKY DEFECTS (MICHIGAN STATE, MIT) 226 4.99. FRENKEL DEFECTS (COLORADO, MIT) 226 IMAGE 11 XXII CONTENTS 4.100. TWO-DIMENSIONAL DEBYE SOLID (COLUMBIA, BOSTON) 228 4.101. EINSTEIN SPECIFIC HEAT (MARYLAND, BOSTON) 230 4.102. GAS ADSORPTION (PRINCETON, MIT, STANFORD) 232 4.103. THERMIONIC EMISSION (BOSTON) 234 4.104. ELECTRONS AND HOLES (BOSTON, MOSCOW PHYS-TECH) 236 4.105. ADIABATIC DEMAGNETIZATION (MARYLAND) 238 4.106. CRITICAL FIELD IN SUPERCONDUCTOR (STONY BROOK, CHICAGO) 241 5. Q U A N T UM MECHANICS 243 ONE-DIMENSIONAL POTENTIALS 243 5.1. SHALLOW SQUARE WELL I (COLUMBIA) 243 5.2. SHALLOW SQUARE WELL II (STONY BROOK) 244 5.3. ATTRACTIVE DELTA FUNCTION POTENTIAL I (STONY BROOK) 245 5.4. ATTRACTIVE DELTA FUNCTION POTENTIAL II (STONY BROOK) 247 5.5. TWO DELTA FUNCTION POTENTIALS (RUTGERS) 248 5.6. TRANSMISSION THROUGH A DELTA FUNCTION POTENTIAL (MICHIGAN STATE, MIT, PRINCETON) 250 5.7. DELTA FUNCTION IN A BOX (MIT) 250 5.8. PARTICLE IN EXPANDING BOX (MICHIGAN STATE, MIT, STONY BROOK) 251 5.9. ONE-DIMENSIONAL COULOMB POTENTIAL (PRINCETON) 253 5.10. TWO ELECTRONS IN A BOX (MIT) 73 5.11. SQUARE WELL (MIT) 255 5.12. GIVEN THE EIGENFUNCTION (BOSTON, MIT) 255 5.13. COMBINED POTENTIAL (TENNESSEE) 256 HARMONIE OSCILLATOR 257 5.14. GIVEN A GAUSSIAN (MIT) 257 5.15. HARMONIE OSCILLATOR ABCS (STONY BROOK) 258 5.16. NUMBER STATES (STONY BROOK) 260 5.17. COUPLED OSCILLATORS (MIT) 262 5.18. TIME-DEPENDENT HARMONIE OSCILLATOR I (WISCONSIN-MADISON) 263 5.19. TIME-DEPENDENT HARMONIE OSCILLATOR II (MICHIGAN STATE) 263 5.20. SWITCHED-ON FIELD (MIT) 264 5.21. CUT THE SPRING! (MIT) 265 ANGULAR MOMENTUNI AND SPIN 266 5.22. GIVEN ANOTHER EIGENFUNCTION (STONY BROOK) 266 5.23. ALGEBRA OF ANGULAR MOMENTUM (STONY BROOK) 267 5.24. TRIPLET SQUARE WELL (STONY BROOK) 269 5.25. DIPOLAR INTERACTIONS (STONY BROOK) 271 5.26. SPIN-DEPENDENT 1/R POTENTIAL (MIT) 272 IMAGE 12 CONTENTS XXIII 5.27. THREE SPINS (STONY BROOK) 272 5.28. CONSTANT MATRIX PERTURBATION (STONY BROOK) 274 5.29. ROTATING SPIN (MARYLAND, MIT) 275 5.30. NUCLEAR MAGNETIC RESONANCE (PRINCETON, STONY BROOK).... 276 VARIATIONAL CALCULATIONS 278 5.31. ANHARMONIC OSCILLATOR (TENNESSEE) 278 5.32. LINEAR POTENTIAL I (TENNESSEE) 279 5.33. LINEAR POTENTIAL II (MIT, TENNESSEE) 280 5.34. RETURN OF COMBINED POTENTIAL (TENNESSEE) 281 5.35. QUARTIC IN THREE DIMENSIONS (TENNESSEE) 282 5.36. HALVED HARMONIE OSCILLATOR (STONY BROOK, CHICAGO (B), PRINCETON (B)) 283 5.37. HELIUM ATOM (TENNESSEE) 286 PERTURBATION THEORY 287 5.38. MOMENTUM PERTURBATION (PRINCETON) 287 5.39. RAMP IN SQUARE WELL (COLORADO) 288 5.40. CIRCLE WITH FIELD (COLORADO, MICHIGAN STATE) 289 5.41. ROTATOR IN FIELD (STONY BROOK) 290 5.42. FINITE SIZE OF NUCLEUS (MARYLAND, MICHIGAN STATE, PRINCETON, STONY BROOK) 290 5.43. U AND U 2 PERTURBATION (PRINCETON) 292 5.44. RELATIVISTIE OSCILLATOR (MIT, MOSCOW PHYS-TECH, STONY BROOK (A)) 293 5.45. SPIN INTERACTION (PRINCETON) 297 5.46. SPIN-ORBIT INTERACTION (PRINCETON) 297 5.47. INTERACTING ELECTRONS (MIT) 298 5.48. STARK EFFECT IN HYDROGEN (TENNESSEE) 299 5.49. N = 2 HYDROGEN WITH ELECTRIC AND MAGNETIC FIELDS (MIT) 300 5.50. HYDROGEN IN CAPACITOR (MARYLAND, MICHIGAN STATE) 302 5.51. HARMONIE OSCILLATOR IN FIELD (MARYLAND, MICHIGAN STATE) 303 5.52. /3-DECAY OF TRITIUM (MICHIGAN STATE) 305 W KB 305 5.53. BOUNCING BALL (MOSCOW PHYS-TECH, CHICAGO) 305 5.54. TRUNCATED HARMONIE OSCILLATOR (TENNESSEE) 306 5.55. STRETCHED HARMONIE OSCILLATOR (TENNESSEE) 307 5.56. RAMP POTENTIAL (TENNESSEE) 308 5.57. CHARGE AND PLANE (STONY BROOK) 309 5.58. RAMP PHASE SHIFT (TENNESSEE) 310 5.59. PARABOLIC PHASE SHIFT (TENNESSEE) 311 5.60. PHASE SHIFT FOR INVERSE QUADRATIC (TENNESSEE) 311 IMAGE 13 XXIV CONTENTS S C A T T E R I NG T H E O RY 312 5.61. STEP-DOWN POTENTIAL (MICHIGAN STATE, MIT) 312 5.62. STEP-UP POTENTIAL (WISCONSIN-MADISON) 312 5.63. REPULSIVE SQUARE WELL (COLORADO) 313 5.64. 3D DELTA FUNCTION (PRINCETON) 315 5.65. TWO-DELTA-FUNCTION SCATTERING (PRINCETON) 316 5.66. SCATTERING OF TWO ELECTRONS (PRINCETON) 317 5.67. SPIN-DEPENDENT POTENTIALS (PRINCETON) 318 5.68. RAYLEIGH SCATTERING (TENNESSEE) 320 5.69. SCATTERING FROM NEUTRAL CHARGE DISTRIBUTION (PRINCETON) 321 GENERAL 322 5.70. SPHERICAL BOX WITH HOLE (STONY BROOK) 322 5.71. ATTRACTIVE DELTA FUNCTION IN 3D (PRINCETON) 323 5.72. IONIZING DEUTERIUM (WISCONSIN-MADISON) 324 5.73. COLLAPSED STAR (STANFORD) 324 5.74. ELECTRON IN MAGNETIC FIELD (STONY BROOK, MOSCOW PHYS-TECH) 328 5.75. ELECTRIC AND MAGNETIC FIELDS (PRINCETON) 329 5.76. JOSEPHSON JUNCTION (BOSTON) 330 PART III: A P P E N D I X ES APPROXIMATE VALUES OF PHYSICAL CONSTANTS 335 SOME ASTRONOMICAL DATA 336 OTHER COMMONLY USED UNITS 336 CONVERSION TABLE FROM RATIONALIZED MKSA TO GAUSSIAN UNITS 337 VECTOR IDENTITIES 337 VECTOR FORMULAS IN SPHERICAL AND CYLINDRICAL COORDINATES 338 LEGENDRE POLYNOMIALS 341 RODRIGUES FORMULA 342 SPHERICAL HARMONICS 342 HARMONIE OSCILLATOR 342 ANGULAR MOMENTUM AND SPIN 343 VARIATIONAL CALCULATIONS 344 NORMALIZED EIGENSTATES OF HYDROGEN ATOM 344 CONVERSION TABLE FOR PRESSURE UNITS 345 USEFUL CONSTANTS 345 BIBLIOGRAPHY 347
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author	Cahn, Sidney B. Nadgorny, Boris E. Mahan, Gerald D. 1937-
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spelling	Cahn, Sidney B. Verfasser (DE-588)172766214 aut A guide to physics problems 2 Thermodynamics, statistical physics, and quantum mechanics Sidney B. Cahn, Gerald D. Mahan and Boris E. Nadgorny New York ; London Plenum Press 1997 XXIV, 349 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Nadgorny, Boris E. Verfasser (DE-588)172766222 aut Mahan, Gerald D. 1937- Verfasser (DE-588)13980885X aut (DE-604)BV010037177 2 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008052720&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Cahn, Sidney B. Nadgorny, Boris E. Mahan, Gerald D. 1937- A guide to physics problems
title	A guide to physics problems
title_auth	A guide to physics problems
title_exact_search	A guide to physics problems
title_full	A guide to physics problems 2 Thermodynamics, statistical physics, and quantum mechanics Sidney B. Cahn, Gerald D. Mahan and Boris E. Nadgorny
title_fullStr	A guide to physics problems 2 Thermodynamics, statistical physics, and quantum mechanics Sidney B. Cahn, Gerald D. Mahan and Boris E. Nadgorny
title_full_unstemmed	A guide to physics problems 2 Thermodynamics, statistical physics, and quantum mechanics Sidney B. Cahn, Gerald D. Mahan and Boris E. Nadgorny
title_short	A guide to physics problems
title_sort	a guide to physics problems thermodynamics statistical physics and quantum mechanics
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008052720&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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