Linearity, Symmetry, and Prediction in the Hydrogen Atom
1st ed. Softcover of orig. ed. 2005
Book Details
Format
Paperback / Softback
Book Series
Undergraduate Texts in Mathematics
ISBN-10
1441920358
ISBN-13
9781441920355
Edition
1st ed. Softcover of orig. ed. 2005
Publisher
Springer-Verlag New York Inc.
Imprint
Springer-Verlag New York Inc.
Country of Manufacture
US
Country of Publication
GB
Publication Date
Dec 1st, 2010
Print length
398 Pages
Ksh 9,900.00
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This is a textbook for a senior-level undergraduate course for math, physics and chemistry majors. This one course can play two different but complimentary roles: it can serve as a capstone course for students finishing their education, and it can serve as motivating story for future study of mathematics.
Setting the Stage.- Linear Algebra over the Complex Numbers.- Complex Scalar Product Spaces (a.k.a. Hilbert Spaces).- Lie Groups and Lie Group Representations.- New Representations from Old.- Irreducible Representations and Invariant Integration.- Representations and the Hydrogen Atom.- The Algebra so(4) Symmetry of the Hydrogen Atom.- The Group SO(4) Symmetry of the Hydrogen Atom.- Projective Representations and Spin.- Independent Events and Tensor Products.
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