Quantum mechanics : theory and experiment / Mark Beck.

Format:

Book

Author/Creator:

Beck, Mark (Mark K.), 1963-

Language:

English

Subjects (All):

Quantum theory--Textbooks.

Quantum theory.

Mechanics--Textbooks.

Mechanics.

Physical Description:

1 online resource (529 p.)

Edition:

1st ed.

Place of Publication:

New York : Oxford University Press, c2012.

Language Note:

English

Summary:

This textbook presents quantum mechanics at the junior/senior undergraduate level. It is unique in that it describes not only quantum theory, but also presents five laboratories that explore truly modern aspects of quantum mechanics. These laboratories include ""proving"" that light contains photons, single-photon interference, and tests of local realism.The text begins by presenting the classical theory of polarization, moving on to describe the quantum theory of polarization. Analogies between the two theories minimize conceptual difficulties that students typically have when first presented

Contents:

Cover; Contents; Table of Symbols; Preface; 1 MATHEMATICAL PRELIMINARIES; 1.1 Probability and Statistics; 1.2 Linear Algebra; 1.3 References; 1.4 Problems; 2 CLASSICAL DESCRIPTION OF POLARIZATION; 2.1 Polarization; 2.2 Birefringence; 2.3 Modifying the Polarization; 2.4 Jones Vectors and Jones Matrices; 2.5 Polarization Interferometer; 2.6 References; 2.7 Problems; Complement to Chapter 2: 2.A: Coherence and Interference; 3 QUANTUM STATES; 3.1 State Vectors; 3.2 Basis States; 3.3 Other States; 3.4 Probabilities; 3.5 Complex Probability Amplitudes; 3.6 Row and Column Vector Notation

3.7 Interference3.8 Problems; 4 OPERATORS; 4.1 Operators; 4.2 The Adjoint Operator; 4.3 The Projection Operator; 4.4 The Matrix Representation of Operators; 4.5 Changing Bases; 4.6 Hermitian Operators; 4.7 References; 4.8 Problems; Complement to Chapter 4: 4.A: Similarity Transformations; 5 MEASUREMENT; 5.1 Measuring Polarization; 5.2 The Postulates of Quantum Mechanics; 5.3 Expectation Values; 5.4 Operators and Measurements; 5.5 Commutation and Indeterminacy Relations; 5.6 Complementarity; 5.7 References; 5.8 Problems; Complement to Chapter 5: 5.A: ''Measuring'' a Quantum State; 6 SPIN-1/2

6.1 The Stern-Gerlach Experiment6.2 Spin States; 6.3 More Spin States; 6.4 Commutation Relations; 6.5 Particle Interference; 6.6 References; 6.7 Problems; 7 ANGULAR MOMENTUM AND ROTATION; 7.1 Commuting Observables; 7.2 Angular Momentum Operators; 7.3 Eigenvalues and Eigenstates; 7.4 Spin-1; 7.5 Rotation; 7.6 Spin of a Photon; 7.7 References; 7.8 Problems; Complements to Chapter 7: 7.A: Compatible Observables; 7.B: Eigenvalues and Eigenstates of Angular Momentum; 8 TWO-PARTICLE SYSTEMS AND ENTANGLEMENT; 8.1 Pairs of Photons; 8.2 Entangled States; 8.3 Mixed States; 8.4 Testing Local Realism

8.5 References8.6 Problems; Complements to Chapter 8: 8.A: The Density Operator; 8.B: The Bell-Clauser-Horne Inequality; 8.C: Two Spin-1/2 Particles; 9 TIME EVOLUTION AND THE SCHRÖDINGER EQUATION; 9.1 The Time-Evolution Operator; 9.2 The Schrödinger Equation; 9.3 Expectation Values; 9.4 Spin-1/2 Particle in a Magnetic Field; 9.5 Neutrino Oscillations; 9.6 References; 9.7 Problems; Complement to Chapter 9: 9.A: Magnetic Resonance; 10 POSITION AND MOMENTUM; 10.1 Position; 10.2 Momentum; 10.3 The Momentum Basis; 10.4 Problems; Complement to Chapter 10: 10.A: Useful Mathematics

11 WAVE MECHANICS AND THE SCHRÖDINGER EQUATION11.1 The Schrödinger Equation Revisited; 11.2 Constant Potential-the Free Particle; 11.3 Potential Step; 11.4 Tunneling; 11.5 Infinite Square Well; 11.6 References; 11.7 Problems; Complement to Chapter 11: 11.A: Free Particle Propagation; 12 THE HARMONIC OSCILLATOR; 12.1 Why Study the Harmonic Oscillator?; 12.2 Creation, Annihilation, and Number Operators; 12.3 Wave Functions; 12.4 Fock States and Photons; 12.5 Coherent States; 12.6 References; 12.7 Problems; Complement to Chapter 12: 12.A: Solving the Schrödinger Equation Directly

13 WAVE MECHANICS IN THREE DIMENSIONS

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on metadata supplied by the publisher and other sources.

ISBN:

1-280-88166-6

9786613722973

0-19-979823-0

OCLC:

819504729