Linearity, Symmetry, and Prediction in the Hydrogen Atom (Undergraduate Texts in Mathematics)
| Author | : | |
| Rating | : | 4.92 (851 Votes) |
| Asin | : | 0387246371 |
| Format Type | : | paperback |
| Number of Pages | : | 398 Pages |
| Publish Date | : | 2016-02-05 |
| Language | : | English |
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 mechanicsMethod has wide applications in crystallography, atomic structure, classification of manifolds with symmetry and other areasEngaging and vivid styleDriven by numerous exercises and examplesSystematic organizationSeparate solutions manual available
In 2002 she resigned her tenured professorship at Haverford College. in Mathematics from the Courant Institute in 1991. Stephanie Frank Singer received her Ph.D. Her first book was Symmetry In Mechanics: A Gentle, Modern Introduction. . Since then she has been writing and consulting independently
Thane Plambeck said Well done. I bought this book at the Stanford bookstore a few days ago because it so closely matched what I was thinking of trying to understand myself, namely, how hard is it to go from the basic principles of quantum mechanics and recover experimental results about atoms. Well, the simplest atom is the hydrogen atom, and this book does the all the math associated with the s-shells, p-shells, energy levels, and so on, and it does so without bringing in extra physics or chemistry that a person is supposed to take on faith. If. A Chemist's perspective For any chemist who is not also mathematically inclined, this book would be very tough going. I minored in math and physics, and I have to admit, I found a lot of this daunting. Ultimately it is very satisfying, though, because while mathematicians like the fact that they can derive properties of the hydrogen atom without recourse to experimental facts and details of chemistry, these very facts and details help a chemist connect to beautiful modern mathematics that would otherwise have no handles for a chemist to g. A joyful, illuminating book Dudley R. Herschbach Although I've taught quantum mechanics many times, I am learning a great deal from this splendid book. I much admire the care and consideration Singer has devoted to helping readers comprehend and enjoy fascinating, fundamental material. I hope she writes more such exceptional, mind-opening books! Dudley Herschbach, Prof. of Chemistry Harvard & Prof. of Physics, Texas A & M Univ.
From the reviews: "Here is another book which is centered around the SO(4)-invariance of the 1/r potential. Fulling, American Mathematical Monthly, Vol. Numerous exercises are provided. … the present author always remains on a very solid mathematical ground. The intended audience is senior-level undergraduate majors in mathematics, physics, and chemistry. 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 style of this senior-level undergraduate text is very