A Student's Guide to the Schrödinger Equation

Cover
Half-title
Series information
Title page
Copyright information
About this book
Contents
Preface
Acknowledgments
1 Vectors and Functions
	1.1 Vector Basics
	1.2 Dirac Notation
	1.3 Abstract Vectors and Functions
	1.4 Complex Numbers, Vectors, and Functions
	1.5 Orthogonal Functions
	1.6 Finding Components Using the Inner Product
	1.7 Problems
2 Operators and Eigenfunctions
	2.1 Operators, Eigenvectors, and Eigenfunctions
	2.2 Operators in Dirac Notation
	2.3 Hermitian Operators
	2.4 Projection Operators
	2.5 Expectation Values
	2.6 Problems
3 The Schrödinger Equation
	3.1 Origin of the Schrödinger Equation
	3.2 What the Schrödinger Equation Means
	3.3 Time-Independent Schrödinger Equation
	3.4 Three-Dimensional Schrödinger Equation
	3.5 Problems
4 Solving the Schrödinger Equation
	4.1 The Born Rule and Copenhagen Interpretation
	4.2 Quantum States, Wavefunctions, and Operators
	4.3 Characteristics of Quantum Wavefunctions
	4.4 Fourier Theory and Quantum Wave Packets
	4.5 Position and Momentum Wavefunctions and Operators
	4.6 Problems
5 Solutions for Specific Potentials
	5.1 Infinite Rectangular Potential Well
	5.2 Finite Rectangular Potential Well
	5.3 Harmonic Oscillator
	5.4 Problems
References
Index