| Description |
1 online resource (329 p.) |
| Contents |
Cover -- Half Title -- Title Page -- Copyright Page -- Table of contents -- Preface to the first edition -- Preface to the second edition -- Preface to the third edition -- Author -- 1 Waves and Particles -- 1.1 Introduction -- 1.2 Light as Particles-The Photoelectric Effect -- 1.3 Electrons as Waves -- 1.4 Reality and Causality -- 1.5 Connection to the Classical World -- 1.5.1 Position and Momentum -- 1.5.2 Noncommuting Operators -- 1.5.3 Another View -- 1.5.4 Wave Packets -- 1.6 Summary -- References -- Problems -- 2 The Schrödinger Equation -- 2.1 Waves and the Differential Equation |
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2.1.1 The Free Particle -- 2.1.2 A Potential Step -- Case I. E 0 -- Case II. E > V0 -- 2.2 Density and Current -- 2.3 The Potential Well -- 2.3.1 The Infinite Potential Well -- 2.3.2 The Finite Potential Well -- Case I. 0 0 -- Case II. E > V0 -- 2.4 The Triangular Well -- 2.5 Uncertainty -- 2.6 Numerical Solutions of the Schrödinger Equation -- References -- Problems -- 3 Tunneling -- 3.1 The Tunnel Barrier -- 3.1.1 The Simple Rectangular Barrier -- 3.1.2 A More Complex Barrier -- 3.2 The Double Barrier -- 3.2.1 Simple, Equal Barriers |
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3.2.2 The Unequal-Barrier Case -- 3.2.3 Shape of the Resonance -- 3.3 Approximation Methods-The WKB Method -- 3.3.1 Bound States of a General Potential -- 3.3.2 Tunneling -- 3.4 Tunneling Devices -- 3.4.1 The Landauer Formulation -- 3.4.2 The Esaki Diode -- 3.4.3 The Resonant Tunneling Diode -- 3.4.4 Single-Electron Tunneling -- 3.4.5 Josephson Tunneling -- References -- Problems -- 4 Periodic Potentials -- 4.1 Atoms on a Lattice -- 4.2 Another Approach -- 4.3 Bonds and Bands -- 4.4 Electron Pairing-Superconductivity -- 4.4.1 Observable Properties -- 4.4.2 Pairing and Gaps -- References |
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Problems -- 5 The Harmonic Oscillator -- 5.1 The Wave Functions -- 5.2 The LC-Circuit -- 5.3 An Atomic Lattice and Phonons -- 5.4 Motion in a Quantizing Magnetic Field -- 5.4.1 Connection with the Classical Orbit -- 5.4.2 Adding Lateral Confinement -- 5.4.3 The Quantum Hall Effect -- 5.5 The Modern Standard Unit System -- References -- Problems -- 6 Operators and Bases -- 6.1 Time Dependence of Operators -- 6.2 Linear Vector Spaces -- 6.2.1 Hermitian Operators -- 6.2.2 Some Matrix Properties -- 6.2.3 The Eigenvalue Problem -- 6.3 Supersymmetry -- 6.4 The Density Matrix -- 6.5 The Wigner Function |
| Notes |
Description based upon print version of record |
| Bibliography |
References -- Problems -- 7 Stationary Perturbation Theory -- 7.1 The Perturbation Series -- 7.2 Some Examples of Perturbation Theory -- 7.2.1 The Stark Effect in a Potential Well -- 7.2.2 The Shifted Harmonic Oscillator -- 7.2.3 Multiple Quantum Wells -- 7.3 An Alternative Approach-The Variational Method -- Problems -- 8 Time-Dependent Perturbation Theory -- 8.1 The Perturbation Series -- 8.2 The Interaction Representation -- 8.3 Exponential Decay -- 8.4 The Lippmann-Schwinger Equation -- 8.4.1 The Scattering State T-Matrix -- 8.4.2 Gaining the Lippmann-Schwinger Equation |
| Notes |
8.4.3 Orthogonality of the Scattering States |
| Form |
Electronic book
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| ISBN |
9781000316490 |
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1000316491 |
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