Overview
- 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
Part of the book series: Undergraduate Texts in Mathematics (UTM)
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Table of contents (11 chapters)
Keywords
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Reviews
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)
Authors and Affiliations
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Bibliographic Information
Book Title: Linearity, Symmetry, and Prediction in the Hydrogen Atom
Authors: Stephanie Frank Singer
Series Title: Undergraduate Texts in Mathematics
DOI: https://doi.org/10.1007/b136359
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2005
Hardcover ISBN: 978-0-387-24637-6Published: 09 August 2005
Softcover ISBN: 978-1-4419-2035-5Published: 01 December 2010
eBook ISBN: 978-0-387-26369-4Published: 18 June 2006
Series ISSN: 0172-6056
Series E-ISSN: 2197-5604
Edition Number: 1
Number of Pages: XIV, 398
Number of Illustrations: 50 b/w illustrations
Topics: Atomic, Molecular, Optical and Plasma Physics, Elementary Particles, Quantum Field Theory, Group Theory and Generalizations, Mathematical Methods in Physics, Applications of Mathematics, Classical Mechanics