A guide to physics problems: 2 Thermodynamics, statistical physics, and quantum mechanics
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Format: | Buch |
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New York ; London
Plenum Press
1997
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Beschreibung: | 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 |
264 | 1 | |a New York ; London |b Plenum Press |c 1997 | |
300 | |a XXIV, 349 S. |b Ill., graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
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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
|
any_adam_object | 1 |
author | Cahn, Sidney B. Nadgorny, Boris E. Mahan, Gerald D. 1937- |
author_GND | (DE-588)172766214 (DE-588)172766222 (DE-588)13980885X |
author_facet | Cahn, Sidney B. Nadgorny, Boris E. Mahan, Gerald D. 1937- |
author_role | aut aut aut |
author_sort | Cahn, Sidney B. |
author_variant | s b c sb sbc b e n be ben g d m gd gdm |
building | Verbundindex |
bvnumber | BV011913938 |
classification_rvk | UC 300 |
ctrlnum | (OCoLC)174168774 (DE-599)BVBBV011913938 |
dewey-full | 530.076 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 530 - Physics |
dewey-raw | 530.076 |
dewey-search | 530.076 |
dewey-sort | 3530.076 |
dewey-tens | 530 - Physics |
discipline | Physik |
format | Book |
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id | DE-604.BV011913938 |
illustrated | Illustrated |
indexdate | 2024-07-09T18:18:28Z |
institution | BVB |
isbn | 030645291X |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008052720 |
oclc_num | 174168774 |
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owner_facet | DE-355 DE-BY-UBR DE-703 DE-188 DE-19 DE-BY-UBM |
physical | XXIV, 349 S. Ill., graph. Darst. |
publishDate | 1997 |
publishDateSearch | 1997 |
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publisher | Plenum Press |
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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 |
volume_link | (DE-604)BV010037177 |
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