The Physics of Quantum Mechanics by James Binney

The Physics of Quantum Mechanics

byJames Binney, David Skinner

Paperback | November 14, 2013

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The Physics of Quantum Mechanics aims to give students a good understanding of how quantum mechanics describes the material world. It shows that the theory follows naturally from the use of probability amplitudes to derive probabilities. It stresses that stationary states are unphysicalmathematical abstractions that enable us to solve the theory's governing equation, the time-dependent Schroedinger equation. Every opportunity is taken to illustrate the emergence of the familiar classical, dynamical world through the quantum interference of stationary states. The text stresses thecontinuity between the quantum world and the classical world, which is merely an approximation to the quantum world.The connections between observables, operators and transformations are clearly explained and the standard commutation rules derived from the properties of spacetime. A chapter is devoted to entanglement, quantum computation, density operators and their role in thermodynamics, and the measurementproblem. Scattering phenomena, including the origin of radioactivity, are handled early on in the accessible context of one dimension, and at the end of the book with some rigour in three dimensions. Hydrogen and helium are discussed in some detail and it is shown that quantum mechanics enables usto understand the structure of the periodic table without engaging with the complexities of many-electron atoms.Dirac notation is used from the outset and students are trained to move easily from one representation to another, choosing whichever representation is best suited to a particular problem. The mathematical prerequisites are no more than simple vector algebra, Taylor series expansion and the use ofintegrating factors to solve linear first order differential equations. Rigorous algebraic methods are preferred to the solution of partial differential equations.

About The Author

James Binney has degrees from the universities of Cambridge and Oxford and has studied in the Albert Ludwigs Universitaet, Freiburg i. Breisgau. After three postdoctoral years in Princeton he joined the Physics faculty at Oxford and has there taught courses ranging from first-year mathematical methods, through statistical physics, qua...

Details & Specs

Title:The Physics of Quantum MechanicsFormat:PaperbackDimensions:400 pagesPublished:November 14, 2013Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199688575

ISBN - 13:9780199688579

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Table of Contents

1. Introduction2. Operators, measurement and time evolution3. Oscillators4. Transformations and Observables5. Motion in step potentials6. Composite systems7. Angular Momentum8. Hydrogen9. Motion in a magnetic field10. Perturbation theory11. Helium and the periodic table12. Adiabatic principle13. Scattering TheoryAppendices