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Introduction to Quantum Mechanics

ISBN-10: 0470853247

ISBN-13: 9780470853245

Edition: 2003

Authors: A. C. Phillips

List price: $62.00
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This text 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.
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Book details

List price: $62.00
Copyright year: 2003
Publisher: John Wiley & Sons, Incorporated
Publication date: 7/9/2003
Binding: Paperback
Pages: 282
Size: 6.50" wide x 9.25" long x 0.75" tall
Weight: 1.166
Language: English

Editor's preface to the Manchester Physics Series
Author's preface
Planck's Constant in Action
De Broglie Waves
The uncertainty principle
Measurement and wave-particle duality
Measurement and non-locality
Problems 1
The Schrodinger Equation
Sinusoidal waves
Linear superpositions of sinusoidal waves
Dispersive and non-dispersive waves
Particle Wave Equations
A wave equation for a free particle
Wave equation for a particle in a potential energy field
Problems 2
Position and Momentum
Discrete random variables
Continuous random variables
Position Probabilities
Two-slit interference
The Born interpretation of the wave function
Momentum Probabilities
A Particle in a Box I
Expectation Values
Quantum States
Problems 3
Energy and Time
The Hamiltonian Operator
Normal Modes of a String
States of Certain Energy
A Particle in a Box II
A one-dimensional box
A three-dimensional box
States of Uncertain Energy
Basis functions
Energy probability amplitudes
Time Dependence
Problems 4
Square Wells and Barriers
Bound and Unbound States
Bound states
Unbound states
General implications
Barrier Penetration
Stationary state analysis of reflection and transmission
Tunnelling through wide barriers
Tunnelling electrons
Tunnelling protons
Problems 5
The Harmonic Oscillator
The Classical Oscillator
The Quantum Oscillator
Quantum States
Stationary states
Non-stationary states
Diatomic Molecules
Three-dimensional Oscillators
The Oscillator Eigenvalue Problem
The ground state
Excited states
Is E[subscript 0] really the lowest energy?
Mathematical properties of the oscillator eigenfunctions
Problems 6
Observ Ables and Operators
Essential Properties
Position and Momentum
Eigenfunctions for position
Eigenfunctions for momentum
Delta function normalization
Compatible Observables
A particle in one dimension
A particle in three dimensions
Constants of Motion
Problems 7
Angular Momentum
Angular Momentum Basics
Magnetic Moments
Classical magnets
Quantum magnets
Magnetic energies and the Stern-Gerlach experiment
Orbital Angular Momentum
Classical orbital angular momentum
Quantum orbital angular momentum
Angular shape of wave functions
Spherical harmonics
Linear superposition
Problems 8
The Hydrogen Atom
Central Potentials
Classical mechanics of a particle in a central potential
Quantum mechanics of a particle in a central potential
Quantum Mechanics of the Hydrogen Atom
Energy levels and eigenfunctions
Sizes and Shapes
Radiative Transitions
The Reduced Mass Effect
Relativistic Effects
The Coulomb Eigenvalue Problem
Problems 9
Identical Particles
Exchange Symmetry
Physical Consequences
Exchange Symmetry with Spin
Bosons and Fermions
Problems 10
Atomic Quantum States
The central field approximation
Corrections to the central field approximation
The Periodic Table
What If?
Problems 11
Hints to selected problems
Further reading
Physical constants and conversion factors