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Introduction to Quantum Mechanics

A. C. Phillips

ISBN: 978-0-470-85324-5 July 2003 282 Pages


Introduction to Quantum Mechanics is an introduction to the power and elegance of quantum mechanics. Assuming little in the way of prior knowledge, quantum concepts are carefully and precisely presented, and explored through numerous applications and problems. Some of the more challenging aspects that are essential for a modern appreciation of the subject have been included, but are introduced and developed in the simplest way possible.

Undergraduates taking a first course on quantum mechanics will find this text an invaluable introduction to the field and help prepare them for more advanced courses.

Introduction to Quantum Mechanics:
* Starts from basics, reviewing relevant concepts of classical physics where needed.
* Motivates by considering weird behaviour of quantum particles.
* Presents mathematical arguments in their simplest form.

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Editor's preface to the Manchester Physics Series.

Author's preface.

1  Planck's Constant in Action.


De Broglie Waves.



2  The Schrödinger Equation.


Particle Wave Equations.

3  Position and Momentum.


Position Probabilities.

Momentum Probabilities.

A Particle in a Box I.

Expectation Values.

Quantum States.

4  Energy and Time.

The Hamiltonian Operator.

Normal Modes of a String.

States of Certain Energy.

A Particle in a Box II.

States of Uncertain Energy.

Time Dependence.

5  Square Wells and Barriers.

Bound and Unbound States.

Barrier Penetration.

6  The Harmonic Oscillator.

The Classical Oscillator.

The Quantum Oscillator.

Quantum States.

Diatomic Molecules.

Three-dimensional Oscillators.

The Oscillator Eigenvalue Problem.

7  Observables and Operators.

Essential Properties.

Position and Momentum.

Compatible Observables.


Constants in Motion.

8  Angular Momentum.

Angular Momentum Basics.

Magnetic Moments.

Orbital Angular Momentum.

9  The Hydrogen Atom.

Central Potentials.

Quantum Mechanics of the Hydrogen Atom.

Sizes and Shapes.

Radiative Transitions.

The Reduced Mass Effect.

Relativistic Effects.

The Coulomb Eigenvalue Problem.

10  Identical Problems.

Exchange Symmetry.

Physical Consequences.

Exchange Symmetry with Spin.

Bosons and Fermions.

11 Atoms.

Atomic Quantum States.

The Periodic Table.

What If?

Hints to selected problems.

Further reading.