Quantum Mechanics, Second edition: 2nd Edition (Paperback) book cover

Quantum Mechanics, Second edition

2nd Edition

By Paul C.W. Davies, David S. Betts

CRC Press

178 pages

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Description

Quantum mechanics is the key to modern physics and chemistry, yet it is notoriously difficult to understand. This book is designed to overcome that obstacle. Clear and concise, it provides an easily readable introduction intended for science undergraduates with no previous knowledge of quantum theory, leading them through to the advanced topics usually encountered at the final year level.

Although the subject matter is standard, novel techniques have been employed that considerably simplify the technical presentation. The authors use their extensive experience of teaching and popularizing science to explain the many difficult, abstract points of the subject in easily comprehensible language. Helpful examples and thorough sets of exercises are also given to enable students to master the subject.

Reviews

"…a very useful, readable, and relatively inexpensive technical introduction to the subject."

-Roger Penrose, THES

"I do not know of anyone who has put the essence of quantum mechanics more clearly, more understandable, more soundly, and more compactly than Professor Davis."

-Professor J.A. Wheeler, University of Texas at Austin

Table of Contents

PRELIMINARY CONCEPTS

Origins

Collapse of Determinism

Matter Waves

Heisenberg's Uncertainty Principle

When is a Wave a Particle?

Schrodinger's Wave Equation

WAVE MECHANICS I

Time-Independent Schrodinger Equation

The Infinite Square-Well Potential

Degeneracy and Parity

Finite Square Well

Bouncing Ball

ONE-DIMENSIONAL DELTA WELLS

The Single One-Dimensional Delta Well

The One-Dimensional Triple Delta Well

WAVE MECHANICS 2

Simple Harmonic Oscillator

Hydrogen Atom

Free Particles

Scattering from a Potential Step

Tunnelling

Many-Particle Wave Functions

SCATTERING IN THREE DIMENSIONS

Partial Wave Analysis

Attractive Spherical Well in the Limit of Low Energy S-Wave Scattering

Repulsive Spherical Obstacle

THE FORMAL RULES OF QUANTUM MECHANICS

Wave Superposition in Vector Language

Operators

Momentum and Position Eigenstates

Compatible Observables and Commutation Relations

Symmetry and Conservation Laws

Summary

ANGULAR MOMENTUM

Operators and Commutators

Eigenfunctions and Eigenvalues

Matrix Formulation

Intrisic Spin

Spin Eigenvectors

Illustrating the Rules of Quantum Mechanics

Magnetic Moment

Spin Wave Functions

PARTICLE IN A CENTRAL POTENTIAL

Separation of Radial and Anular Variables

Radial Square Well

Hydrogen Atom

SOME ATOMIC PHYSICS

Addition of Angular Momenta

Addition of Orbital and Spin Angular Momenta

Spin-Orbit Coupling

A Further Relativistic Effect

Effect on a One-Electron Atom of an Externally Applied Magnetic Field: Zeeman Effect

APPROXIMATION METHODS

Perturbation Theory

Applications of Perturbation Theory

The Variational Method

TRANSITIONS

Time-Dependent Perturbation Theory

Harmonic Perturbation

Energy-Time Uncertainty Relation and Fermi's Golden Rule

Emission and Absorption of Electromagnetic Radiation by Atoms

Spontaneious emission of Radiation

APPENDICES

The One-Dimensional Infinite Array of Delta Wells

Spherical Harmonics

The Dirac Delta Function

Useful Quantities

Useful Integrals

Exercises

Answers to Exercises

About the Series

Physics and its Applications

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
SCI057000
SCIENCE / Quantum Theory