Quantum mechanics an enhanced primer Bruce Cameron Reed

Format:

Book

Author/Creator:

Reed, Bruce Cameron

Language:

English

Subjects (All):

Quantum theory.

Physical Description:

1 online resource

Edition:

Second edition

Place of Publication:

[S.l.] : SPRINGER INTERNATIONAL PU, 2023.

Cham Springer 2022

Summary:

Quantum mechanics is one of the most fascinating elements of the physics curriculum, but its conceptual nuances and mathematical complexity can be daunting for beginning students. This user-friendly text is designed for a one-semester course which bridges the gap between sophomore-level treatments and advanced undergraduate/lower-graduate courses. Qualitative explanations and descriptions of historical background are combined with detailed mathematical analyses to help students establish a firm foundation for further study. Classical problems such potential wells, barrier penetration, alpha decay, the harmonic oscillator, and the hydrogen atom are examined in detail, and formalisms and techniques such as operators, expectation values, commutators, perturbation theory, numerical solutions, and the variational theorem are also covered. Particular emphasis is placed on providing numerous worked examples and exercises

Contents:

Foundations

Schrödinger's equation

Schrödinger's Equation in One Dimension

Operators, Expectation Values, and Various Quantum Theories

The Harmonic Oscillator

Schrödinger's equation in Three Dimensions and the Quantum Theory of Angular Momentum

Central Potentials

5.6 Raising and Lowering Operators

Reference

6 Schrödinger's Equation in Three Dimensions and the Quantum Theory of Angular Momentum

6.1 Separation of Variables: Cartesian Coordinates

6.2 Spherical Coordinates

6.3 Angular Momentum Operators

6.4 Separation of Variables in Spherical Coordinates: Central Potentials

6.5 Angular Wavefunctions and Spherical Harmonics

6.5.1 Solution of the Φ Equation

6.5.2 Solution of the Θ Equation

6.5.3 Spherical Harmonics

References

7 Central Potentials

7.1 Introduction

7.2 The Infinite Spherical Well

Intro

Preface

Contents

About the Author

1 Foundations

1.1 Faraday, Thomson, and Electrons

1.2 Spectra, Radiation, and Planck

1.3 The Rutherford-Bohr Atom

1.4 de Broglie Matter Waves

1.5 The Radiative Collapse Problem (Optional)

2 Schrödinger's Equation

2.1 The Classical Wave Equation

2.2 The Time-Independent Schrödinger Equation

2.3 The Time-Dependent Schrödinger Equation

2.4 Interpretation of ψ: Probabilities and Boundary Conditions

3 Solutions of Schrödinger's Equation in One Dimension

Notes:

Includes bibliographical references and index

Online resource; title from PDF title page (SpringerLink, viewed December 16, 2022)

ISBN:

9783031140204

3031140206

9788303114020

8303114026

OCLC:

1352414464

Access Restriction:

Restricted for use by site license