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Linearity, symmetry, and prediction in the hydrogen atom

Author: Stephanie Frank Singer
Publisher: New York : Springer, ©2005.
Series: Undergraduate texts in mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"The predictive power of mathematics in quantum phenomena is one of the great intellectual successes of the 20th century. This textbook, which is aimed at undergraduate or graduate level students (depending on the college or university) 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 the linear model of quantum
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Stephanie Frank Singer
ISBN: 0387246371 9780387246376 9780387263694 0387263691
OCLC Number: 59360256
Description: xiv, 396 pages : illustrations ; 24 cm.
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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Abstract:

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.  Read more...

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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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