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Linearity, symmetry, and prediction in the hydrogen atom

Author: Stephanie Frank Singer
Publisher: New York, NY : Springer, c 2005.
Series: Undergraduate texts in mathematics.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:

Concentrates on how to make predictions about the numbers of each kind of basic state of a quantum system from only two ingredients: the symmetry and linear model of quantum mechanics.

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Stephanie Frank Singer
ISBN: 0387246371 9780387246376
OCLC Number: 253709076
Notes: Literaturverz. S. [379] - 384.
Description: XIV, 396 S. : graph. Darst.
Contents: 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.
Series Title: Undergraduate texts in mathematics.
Responsibility: Stephanie Frank Singer.
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From the reviews: "Here is another book which is centered around the SO(4)-invariance of the 1/r potential. ... the present author always remains on a very solid mathematical ground. ... The author Read more...

 
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