ENGLISH

A Student's Guide to the Schrödinger Equation

By Daniel A. Fleisch

Book information

Publisher
Cambridge University Press
Year
2020
ISBN
9781108834735, 2018035530, 9781108819787
Language
english
Format
PDF
Filesize
7 MB (7363811 bytes)
Series
Student's Guides
Pages
234\238
Time added
2021-02-19 05:49:55

Description

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

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