Ebook PDF: Introduction to Modern Physics by Carlo Maria

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Ebook PDF: Introduction to Modern Physics by Carlo Maria

Postby dilip » Sun Apr 01, 2012 11:53 pm

Download PDF - Introduction to Concepts of Modern Physics by Carlo Maria Becchi and Massimo D’Elia

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Sample Contents

Contents
1 Introduction to Special Relativity . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.1 Michelson–Morley Experiment and Lorentz Transformations . . 2
1.2 Relativistic Kinematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
2 Introduction to Quantum Physics . . . . . . . . . . . . . . . . . . . . . . . . . . 29
2.1 The Photoelectric Effect. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
2.2 Bohr’s Quantum Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
2.3 De Broglie’s Interpretation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36
2.4 Schr¨odinger’s Equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
2.4.1 The Uncertainty Principle . . . . . . . . . . . . . . . . . . . . . . . . . . 46
2.4.2 The Speed of Waves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48
2.4.3 The Collective Interpretation of de Broglie’s Waves . . . . 49
2.5 The Potential Barrier . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
2.5.1 Mathematical Interlude: Differential Equations
with Discontinuous Coefficients . . . . . . . . . . . . . . . . . . . . . 51
2.5.2 The Square Barrier . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
2.6 Quantum Wells and Energy Levels. . . . . . . . . . . . . . . . . . . . . . . . . 60
2.7 The Harmonic Oscillator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66
2.8 Periodic Potentials and Band spectra . . . . . . . . . . . . . . . . . . . . . . 71
Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
3 Introduction to the Statistical Theory of Matter . . . . . . . . . . . 93
3.1 Thermal Equilibrium by Gibbs’ Method . . . . . . . . . . . . . . . . . . . . 97
3.1.1 Einstein’s Crystal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100
3.1.2 The Particle in a Box with Reflecting Walls . . . . . . . . . . . 102
3.2 The Pressure and the Equation of State . . . . . . . . . . . . . . . . . . . . 103
3.3 A Three Level System. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105
3.4 The Grand Canonical Ensemble and the Perfect Quantum Gas 108
3.4.1 The Perfect Fermionic Gas . . . . . . . . . . . . . . . . . . . . . . . . . 110
3.4.2 The Perfect Bosonic Gas . . . . . . . . . . . . . . . . . . . . . . . . . . . 118

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