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Unformatted text preview: PHYSICS 4143: QUANTUM MECHANICS II (SPRING 2011) Schedule for QMII Instructor : Brian Kennedy, N119 Howey (oﬃce hours: Monday 3 pm or by ap- pointment) Assistant : Tingnan Zhang: (to be announced) Lectures : MWF 9.05-9.55 am L5 Goals This is the second of a two semester sequence in quantum mechanics, a subject which is challenging from both a conceptual and mathematical point of view. In Phys 3143 we concentrated on one dimensional systems and the mathematical for- malism of quantum theory, beginning with wave mechanics and passing on to vector spaces and matrix mechanics. (For those students who did not take the course last semester, we covered the material in the first three chapters of Griﬃths’s book, plus section 4.1 of chapter 4. I use the word ”covered” loosely in that I do not follow the book very closely, however the material is more or less the same and the depth of treatment is at about the same level.) In Phys 4143 we will begin by studying the quantum theory of the hydrogen atom. The electron sees a spherically symmetric electrostatic Coulomb field and, as in classical mechanics, orbital angular momen- tum arises naturally in the solution of the central field problem. We then treat the abstract algebraic theory of angular momentum; algebraic here means based on closed sets of commutation relations. Here we will find that quantum systems can posses not only orbital but also spin angular momentum. We must therefore learn how to add angular momenta of various origin, for example, an electron’s orbital and spin angular momenta. Angular momentum addition is a very important con- cept also in classical mechanics where it involves familiar ideas of vector addition. In quantum theory ”vector addition” requires some special machinery including the Clebsch-Gordan coeﬃcients as well as the theory of how to put individual quantum systems together to form composite quantum systems. We will introduce a new physical idea, the identity principle for identical particle systems and how it relates...
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This note was uploaded on 01/22/2012 for the course PHYS 4143 taught by Professor Kennedy during the Spring '11 term at Georgia Tech.
- Spring '11