Introduction to the Basic Concepts of Modern Physics
by Becchi, Carlo Maria; D'elia, MassimoEdition: 2nd
Format: Paperback
Pub. Date: 2010-04-01
Publisher(s): Springer Verlag
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Summary
These notes are designed as a text book for a course on the Modern Physics Theory for undergraduate students. The purpose is providing a rigorous and self-contained presentation of the simplest theoretical framework using elementary mathematical tools. A number of examples of relevant applications and an appropriate list of exercises and answered questions are also given. The first part is devoted to Special Relativity concerning in particular space-time relativity and relativistic kinematics. The second part deals with Schroedinger's formulation of quantum mechanics. The presentation concerns mainly one dimensional problems, in particular tunnel effect, discrete energy levels and band spectra. The third part concerns the application of Gibbs statistical methods to quantum systems and in particular to Bose and Fermi gasses.
Table of Contents
| Introduction to Special Relativity | p. 1 |
| Michelson--Morley Experiment and Lorentz Transformations | p. 2 |
| Relativistic Kinematics | p. 8 |
| Problems | p. 16 |
| Introduction to Quantum Physics | p. 33 |
| The Photoelectric Effect | p. 33 |
| Bohr's Quantum Theory | p. 38 |
| De Broglie's Interpretation | p. 40 |
| Schrödinger's Equation | p. 46 |
| The Uncertainty Principle | p. 50 |
| The Speed of Waves | p. 52 |
| The Collective Interpretation of de Broglie's Waves | p. 53 |
| The Potential Barrier | p. 54 |
| Mathematical Interlude: Differential Equations with Discontinuous Coefficients | p. 56 |
| The Square Barrier | p. 58 |
| Quantum Wells and Energy Levels | p. 65 |
| The Harmonic Oscillator | p. 70 |
| Periodic Potentials and Band Spectra | p. 77 |
| The Schrödinger Equation in a Central Potential | p. 82 |
| Problems | p. 98 |
| Introduction to the Statistical Theory of Matter | p. 119 |
| Thermal Equilibrium by Gibbs' Method | p. 123 |
| Einstein's Crystal | p. 126 |
| The Particle in a Box with Reflecting Walls | p. 128 |
| The Pressure and the Equation of State | p. 129 |
| A Three Level System | p. 131 |
| The Grand Canonical Ensemble and the Perfect Quantum Gas | p. 134 |
| The Perfect Fermionic Gas | p. 136 |
| The Perfect Bosonic Gas | p. 144 |
| The Photonic Gas and the Black Body Radiation | p. 147 |
| Problems | p. 150 |
| Quadrivectors | p. 167 |
| Spherical Harmonics as Tensor Components | p. 171 |
| Thermodynamics and Entropy | p. 177 |
| Index | p. 181 |
| Table of Contents provided by Ingram. All Rights Reserved. |
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