Math Interlude C: Matrices, Dirac Notation, and the Dirac Delta Function 7.1 The Matrix Formulation of Linear Operators 7.2 Dirac Notation 7.3 The Dirac Delta Function 8. The Three-Dimensional Time-Independent Schrödinger Equation 6.1 Solution in Rectangular Coordinates 6.2 Angular Momentum 6.3 The Schrödinger Equation in Spherical Coordinates 6.4 The Hydrogen Atom 7. Math Interlude B: Linear Algebra 5.1 Properties of Linear Operators 5.2 Vector Spaces Inner Products Adjoint and Hermitian Operators Basis Sets 6. One-Dimensional Time-Independent Schrödinger Equation 4.1 Unbound States: Scattering and Tunneling Scattering From Step-Function Potentials 4.2 Bound Systems The Infinite SquareWell The Harmonic Oscillator Potential 5. The Schrödinger Equation 3.1 Derivation of the Schrödinger Equation 3.2 The Meaning of theWave Function 3.3 The Time-Independent Schrödinger Equation Derivation of the Time-Independent Schrödinger Equation Qualitative Solutions and the Origin of Quantization 4. Math Interlude A: Complex Numbers and Linear Operators 2.1 Complex Numbers 2.2 Operators Definition of an Operator Eigenfunctions and Eigenvalues 3. The Origins of Quantum Mechanics 1.1 Introduction 1.2 Blackbody Radiation The Problem with Blackbody Radiation 1.3 The Nature of Light The Photoelectric Effect The Compton Effect Is it a Particle or a Wave? 1.4 TheWave Nature of Matter 1.5 The Bohr Atom 1.6 Where do we Stand? 2. In-text worked examples provide more detailed derivations and solutions than any other book. Unique Math Interlude chapters throughout the book ensure that the student has all the required mathematical skills required to master quantum mechanics. Every section starts with an intuitive explanation of quantum phenomenon, which provides a clear physical motivation for the discussion that follows. The introductory chapters introduce the experimental evidence that historically motivated the development of quantum mechanics and explain why this topic is so central to today's science and technology. Scherrer carefully develops a solid foundation by recapping on the required math and other basic concepts before developing all the major more advanced topics. It is designed from the ground up to address the changing needs of today's students taking this important and challenging course. Robert Scherrer's text provides a uniquely accessible and thorough introduction to quantum mechanics for undergraduates.
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