电子书百科大全
Linearity, Symmetry, and Prediction in the Hydrogen Atom (Undergraduate Texts in Mathematics)
Author: by Stephanie Frank Singer (Author)
Publisher: Springer
Edition: 2005th
Publication Date: 2005-08-09
Language: English
Print Length: 412 pages
ISBN-10: 0387246371
ISBN-13: 9780387246376
Book Description
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
Method has wide applications in crystallography, atomic structure, classification of manifolds with symmetry and other areas
Engaging and vivid style
Driven by numerous exercises and examples
Systematic organization
Separate solutions manual available
Review
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 prepares carefully the mathematical ingredients (Hilbert spaces, Lie groups, Lie algebras, representations). The style of this senior-level undergraduate text is very fluent and – in the best sense – entertaining.” (Evelyn Weimar-Woods, Zentralblatt MATH, Vol. 1088 (14), 2006)
“It is an introductory textbook on the unitary representation theory of Lie groups, with emphasis on the important groups SO (3), SU (2), and SO (4), with the hydrogen atom as a motivating, unifying theme. The intended audience is senior-level undergraduate majors in mathematics, physics, and chemistry. Numerous exercises are provided. … will recommend the book as supplementary reading to those students who desire to understand the mathematics at a deeper level. … Singer’s book is a very good one for undergraduate mathematics majors.” (Stephen A. Fulling, American Mathematical Monthly, Vol. 114, August-September, 2007)
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