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Notes on Quantum Mechanics
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Notes on Quantum Mechanics K. Schulten, Department of Physics and Beckman Institute University of Illinois at Urbana–Champaign (April 18, 2000) Preface The following notes introduce Quantum Mechanics at an advanced level addressing students of Physics, Mathematics, Chemistry and Electrical Engineering. The aim is to put mathematical concepts and techniques like the path integral, algebraic techniques, Lie algebras and representation theory at the readers disposal. For this purpose we attempt to motivate the various physical and mathematical concepts as well as provide detailed derivations and complete sample calculations. We have made every e ort to include in the derivations all assumptions and all mathematical steps implied, avoiding omission of supposedly `trivial' information. Much of the author's writing effort went into a web of cross references accompanying the mathematical derivations such that the intelligent and diligent reader should be able to follow the text with relative ease, in particular, also when mathematically difficult material is presented. In fact, the author's driving force has been his desire to pave the reader's way into territories unchartered previously in most introductory textbooks, since few practitioners feel obliged to ease access to their field. Also the author embraced enthusiastically the potential of the TEX typesetting language to enhance the presentation of equations as to make the logical pattern behind the mathematics as transparent as possible. Any suggestion to improve the text in the respects mentioned are most welcome. It is obvious, that even though these notes attempt to serve the reader as much as was possible for the author, the main e ort to follow the text and to master the material is left to the reader. [ Last edited by fenghbu on 2007-4-5 at 10:34 ] |
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