Beck M. Quantum Mechanics: Theory and Experiment

Oxford University Press, 2012. — 508 p. — ISBN: 978-0-19-979812-4This 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 with quantum mechanics. Furthermore, because the laboratories involve studying photons, using photon polarization as a prototypical quantum system allows the laboratory work to be closely integrated with the coursework.Polarization represents a two-dimensional quantum system, so the introduction to quantum mechanics uses two-dimensional state vectors and operators. This allows students to become comfortable with the mathematics of a relatively simple system, before moving on to more complicated systems. After describing polarization, the text goes on to describe spin systems, time evolution, continuous variable systems (particle in a box, harmonic oscillator, hydrogen atom, etc.), and perturbation theory.The book also includes chapters which describe material that is frequently absent from undergraduate texts: quantum measurement, entanglement, quantum field theory and quantum information. This material is connected not only to the laboratories described in the text, but also to other recent experiments. Other subjects covered that do not often make their way into undergraduate texts are coherence, complementarity, mixed states, the density operator and coherent states.Supplementary material includes further details about implementing the laboratories, including parts lists and software for running the experiments. Computer simulations of some of the experiments are available as well. A solutions manual for end-of-chapter problems is available to instructors.The only quantum mechanics text to include laboratories that can be performed by undergraduatesDescribes quantum mechanics by starting with photon polarization as a prototypical two-dimensional quantum system, which allows for integration of the the text and laboratoriesIncludes chapters which discuss quantum measurement, entanglement, quantum field theory, and quantum informationTable of Symbols
Mathematical Preliminaries
Classical Description of Polarization
Quantum States
Operators
Measurement
Spin-1/2
Angular Momentum and Rotation
Two-Particle Systems and Entanglement
Time Evolution and the Schrödinger Equation
Position and Momentum
Wave Mechanics and the Schrödinger Equation
The Harmonic Oscillator
Wave Mechanics in Three Dimensions
Time-Independent Perturbation Theory
Time-Dependent Perturbation Theory
Quantum Fields
Quantum Information
Laboratories
Getting Started
Before Lab
Important Laboratory Safety Tips
Lab: Spontaneous Parametric Downconversion
Lab: 'Proof' of the Existence of Photons
Lab: Single Photon Interference
Lab: Quantum State Measurement
Lab: Testing Local Realism