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Elementary Statistical Thermodynamics
By: Nils Dalarsson
Hardcover | 20 December 2010 | Edition Number 1
At a Glance
408 Pages
24.13 x 15.88 x 1.91
Hardcover
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Introductory Statistical Thermodynamics is a text for an introductory one-semester course in statistical thermodynamics for upper-level undergraduate and graduate students in physics and engineering. The book offers a high level of detail in derivations of all equations and results. This information is necessary for students to grasp difficult concepts in physics that are needed to move on to higher level courses. The text is elementary, self contained, and mathematically well-founded, containing a number of problems with detailed solutions to help students to grasp the more difficult theoretical concepts.
- Beginning chapters place an emphasis on quantum mechanics
- Includes problems with detailed solutions and a number of detailed theoretical derivations at the end of each chapter
- Provides a high level of detail in derivations of all equations and results
Industry Reviews
| Preface | p. xi |
| Introduction | p. 1 |
| Quantum Description of Systems | p. 3 |
| Introduction and Basic Concepts | p. 5 |
| Systems of Identical Particles | p. 5 |
| Quantum Description of Particles *) | p. 6 |
| Problems with Solutions *) | p. 9 |
| Kinetic Energy of Translational Motion | p. 11 |
| Hamiltonian of Translational Motion | p. 11 |
| Schrödinger Equation for Translational Motion *) | p. 12 |
| Solution of the Schrödinger Equation *) | p. 12 |
| Normalization of the Wave Function *) | p. 15 |
| Quantized Energy of Translational Motion | p. 16 |
| Problems with Solutions *) | p. 17 |
| Energy of Vibrations | p. 19 |
| Hamiltonian of Vibrations | p. 19 |
| Solution of the Schrödinger Equation *) | p. 20 |
| Quantized Energy of Vibrations | p. 21 |
| Hermite Polynomials *) | p. 22 |
| Normalization of the Wave Function *) | p. 23 |
| Problems with Solutions *) | p. 25 |
| Kinetic Energy of Rotations | p. 29 |
| Hamiltonian of Rotations | p. 29 |
| Kinetic Energy and Hamiltonian Operator | p. 29 |
| Angular Momentum Operator *) | p. 30 |
| Solution of the Schrödinger Equation *) | p. 32 |
| Quantized Energy of Rotations | p. 37 |
| Legendre Polynomials *) | p. 38 |
| Normalization of the Wave Function *) | p. 42 |
| Spin Angular Momentum *) | p. 46 |
| Problems with Solutions *) | p. 47 |
| Thermodynamics of Systems | p. 49 |
| Number of Accessible States and Entropy | p. 51 |
| Introduction and Definitions | p. 51 |
| Calculation of the Number of Accessible States | p. 52 |
| Classical Number of Accessible States | p. 54 |
| Number of Accessible States for Bosons | p. 55 |
| Number of Accessible States for Fermions | p. 56 |
| Problems with Solutions | p. 57 |
| Equilibrium States of Systems | p. 59 |
| Equilibrium Conditions | p. 59 |
| Occupation Numbers of Energy Levels | p. 61 |
| Concept of Temperature | p. 63 |
| Problems with Solutions | p. 65 |
| Thermodynamic Variables | p. 71 |
| Free Energy and the Partition Function | p. 71 |
| Internal Energy: Caloric-State Equation | p. 74 |
| Pressure: Thermal-State Equation | p. 76 |
| Classification of Thermodynamic Variables | p. 79 |
| Problems with Solutions | p. 80 |
| Macroscopic Thermodynamics | p. 87 |
| Changes of States. Heat and Work | p. 87 |
| Laws of Thermodynamics | p. 89 |
| Zeroth Law of Thermodynamics | p. 89 |
| First Law of Thermodynamics | p. 89 |
| Second Law of Thermodynamics | p. 90 |
| Third Law of Thermodynamics | p. 90 |
| Open Systems | p. 91 |
| Thermal Properties of Systems | p. 93 |
| Isobaric Expansion | p. 93 |
| Isochoric Expansion | p. 94 |
| Isothermal Expansion | p. 94 |
| Relation between Thermal Coefficients | p. 96 |
| Caloric Properties of Systems | p. 96 |
| Specific Heat at Constant Volume cV | p. 97 |
| Specific Heat at Constant Pressure cP | p. 98 |
| Relation between Specific Heats | p. 98 |
| Relations between Thermodynamic Coefficients | p. 101 |
| Problems with Solutions | p. 104 |
| Variable Number of Particles | p. 119 |
| Chemical Potential | p. 119 |
| Thermodynamic Potential | p. 121 |
| Phases and Phase Equilibrium | p. 124 |
| Latent Heat | p. 124 |
| Clausius-Clapeyron Formula | p. 125 |
| Problems with Solutions | p. 127 |
| Ideal and Nonideal Gases | p. 137 |
| Ideal Monatomic Gases | p. 139 |
| Continuous Energy Spectrum | p. 139 |
| Continuous Partition Function | p. 141 |
| Partition Function of Ideal Monatomic Gases | p. 143 |
| Kinetic Theory of Ideal Monatomic Gases | p. 144 |
| Maxwell-Boltzmann Speed Distribution | p. 144 |
| Most Probable Speed of Gas Particles | p. 145 |
| Average Speed of Gas Particles | p. 145 |
| Root-Mean-Square Speed of Gas Particles | p. 146 |
| Average Kinetic Energy and Internal Energy | p. 148 |
| Equipartition Theorem | p. 148 |
| Thermodynamics of Ideal Monatomic Gases | p. 150 |
| Caloric-State Equation | p. 150 |
| Thermal-State Equation | p. 151 |
| Universal and Particular Gas Constants | p. 152 |
| Caloric and Thermal Coefficients | p. 154 |
| Ideal Gases in External Potentials | p. 155 |
| General Maxwell-Boltzmann Distribution | p. 155 |
| Harmonic and Anharmonic Oscillators | p. 165 |
| Classical Limit of Quantum Partition Function | p. 169 |
| Problems with Solutions | p. 174 |
| Ideal Diatomic Gases | p. 187 |
| Rotations of Gas Particles | p. 190 |
| Vibrations of Gas Particles | p. 192 |
| Problems with Solutions | p. 197 |
| Nonideal Gases | p. 203 |
| Partition Function for Nonideal Gases | p. 203 |
| Free Energy of Nonideal Gases | p. 204 |
| Free Energy of Particle Interactions | p. 206 |
| van der Waals Equation | p. 209 |
| Caloric-State Equation for Nonideal Gases | p. 210 |
| Specific Heats for Nonideal Gases | p. 211 |
| Problems with Solutions | p. 213 |
| Quasi-Static Thermodynamic Processes | p. 229 |
| Isobaric Process | p. 229 |
| Isochoric Process | p. 231 |
| Isothermal Process | p. 232 |
| Adiabatic Process | p. 234 |
| Polytropic Process | p. 236 |
| Cyclic Processes: Carnot Cycle | p. 238 |
| Problems with Solutions | p. 242 |
| Quantum Statistical Physics | p. 257 |
| Quantum Distribution Functions | p. 259 |
| Entropy Maximization in Quantum Statistics | p. 259 |
| The Case of Bosons | p. 259 |
| The Case of Fermions | p. 260 |
| Quantum Equilibrium Distribution | p. 261 |
| Helmholtz Thermodynamic Potential | p. 265 |
| Thermodynamics of Quantum Systems | p. 266 |
| Evaluation of Integrals *) | p. 269 |
| Problems with Solutions | p. 272 |
| Electron Gases in Metals | p. 287 |
| Ground State of Electron Gases in Metals | p. 288 |
| Electron Gases in Metals at Finite Temperatures | p. 289 |
| Chemical Potential at Finite Temperatures | p. 294 |
| Thermodynamics of Electron Gases | p. 295 |
| Problems with Solutions | p. 297 |
| Photon Gas in Equilibrium | p. 301 |
| Planck Distribution | p. 301 |
| Thermodynamics of Photon Gas in Equilibrium | p. 304 |
| Problems with Solutions | p. 308 |
| Other Examples of Boson Systems | p. 313 |
| Lattice Vibrations and Phonons | p. 313 |
| Vibration Modes | p. 314 |
| Internal Energy of Lattice Vibrations | p. 321 |
| Bose-Einstein Condensation | p. 332 |
| Problems with Solutions | p. 336 |
| Special Topics | p. 349 |
| Ultrarelativistic Fermion Gas | p. 349 |
| Ultrarelativistic Fermion Gas for T/TF “ 1 | p. 353 |
| Ultrarelativistic Fermion Gas for T/TF ” 1 | p. 356 |
| Thermodynamics of the Expanding Universe | p. 357 |
| Internal Energy of Elementary Particle Species | p. 358 |
| Entropy per Volume Element | p. 359 |
| Problems with Solutions | p. 361 |
| Physical Constants | p. 365 |
| Bibliography | p. 367 |
| Index | p. 369 |
| Table of Contents provided by Ingram. All Rights Reserved. |
ISBN: 9780123849564
ISBN-10: 012384956X
Published: 20th December 2010
Format: Hardcover
Language: English
Number of Pages: 408
Audience: College, Tertiary and University
Publisher: Academic Press
Country of Publication: US
Edition Number: 1
Dimensions (cm): 24.13 x 15.88 x 1.91
Weight (kg): 0.66
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