Group Theory and Its Applicaion to the Quantum Mechanics of Atomic Spectra

Book Description

This pedagogical classic and essential reference for anyone engaged in research in molecular spectroscopy focuses on the mathematics involved in detailed vibrational analyses of polyatomic molecules. It leads the reader gradually from application of wave mechanics to potential functions and methods of solving the secular determinant. 16 appendices.

Customer Reviews:

A Classical Book.......2007-06-15

This is a classical book on the subject of molecular vibrations. People interested in molecular spectroscopy or Quantum Chemistry should read it. Excellent book!

probably the best book about molecular vibration.......2006-03-03

It is probably the best book about molecular vibrations, cited in many other books.
It treats complex arguments with rigour but at the same time it is able to explain them clearly.

very good..........2001-12-06

In this one, Wilson writes definitively, math/scientifically, and with sincerity of purpose. Don't get confused by the word 'theory.' There's as much math in here as Born and Wolf's P of O. The only diffenrence is Wilson's is much more algebra-based. The mathematics (i.e. isomorphs) is 'taught', without breaking the flow, and is not assumed that you know the stuff already--- or can find it somewhere else. This book stands out because there is more science in here than names of scientists, and his references are for real. I would also say it was unique because books with titles like 'Molecular Vibrations' are usually skipped over for titles like 'mechanics' or 'quantum theory.' Spectroscopy was a major advancement in science, and it is good to see it skillfully treated with enlightening clarity.

A MUST HAVE for those dealing with B matrix methods.......2000-12-29

This is the original work by E.B.Wilson where the G and F matrix formalism is presented. The G matrix, related to kinetic vibrational energy is built uppon the elements of the B matrix defined from "internal coordinates". Many quantum chemistry software packages use this exact methodology to build normal coordinates. For those working on Quantum Chem Molecular Orbital calculations, this book is a must.

1955 classic.......2000-06-28

Reissue of original, which was published in 1955, in the pre-computer age. Solid QM description of vibrating polyatomic molecules, and their interaction with EM radiation. The authors exploit group theory (molecular symmetry) to reduce the calculational work as much as possible. Good introduction to the use of finite groups, e.g. how to exploit the hexagonal symmetry of the benzene molecule.

The Theory of Atomic Structure and Spectra (Los Alamos Series in Basic and Applied Sciences, 3)

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The Theory of Atomic Structure and Spectra (Los Alamos Series in Basic and Applied Sciences, 3)
Robert D. Cowan
Manufacturer: University of California Press
ProductGroup: Book
Binding: Hardcover

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ASIN: 0520038215

Book Description

Both the interpretation of atomic spectra and the application of atomic spectroscopy to current problems in astrophysics, laser physics, and thermonuclear plasmas require a thorough knowledge of the Slater-Condon theory of atomic structure and spectra. This book gathers together aspects of the theory that are widely scattered in the literature and augments them to produce a coherent set of closed-form equations suitable both for computer calculations on cases of arbitrary complexity and for hand calculations for very simple cases.

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A Must Have for the Atomic Physicist
Solid book, though not so user friendly.

The Theory of Atomic Spectra
E. U. Condon , and G. H. Shortley
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Hardcover

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ASIN: 0521047137

Book Description

Condon and Shortley has become the standard comprehensive work on the theory of atomic spectra. The first two chapters contain a brief historical introduction and an exposition of quantum mechanics along the lines formulated by Dirac. Then follow sixteen chapters devoted to a unified, logical deduction of the structure of the spectra of atoms from quantum mechanical principles. The theory is given in full detail and the results are amply documented with comparisons with experimental observations. When first published, a reviewer in Nature said that ‘Its power and thoroughness leave the general impression of a work of the first rank, which successfully unifies the existing state of our knowledge, and will prove for many years a starting point for further researches and an inspiration to those who may undertake them’. Subsequent reviewers have amply confirmed these views. Science in 1952 commented that it ‘has served half a generation and as a guide in further detailed research’, and Reviews of Modern Physics in 1957 that this ‘monumental book … continues to be the most comprehensive account of our understanding of atomic spectra - the fruit of several decades’ intensive study by a great number of physicists of all countries’.

Customer Reviews:

A Must Have for the Atomic Physicist.......2006-07-22

I ordered this text specifically for the genearlized form of the angular momentum coupling constants near the end of Chapter 3 and have not had a chance to read the entire text. However, this text is one of my Ph.D. advisor's key "go to" texts, and hence, it seems to be a must have for the atomic physicist.

Solid book, though not so user friendly........2001-03-01

This is the legendary "theory of atomic spectra" so often referred to in various quantum mechanics books. It contains detailed accounts of various schemes of describing the spectra of various atoms, dealing with all sorts of approximation schemes. The first part of this book concisely summarizes some of the important aspects of quantum theory (radiation, angular momentum, perturbation theory and the hydrogen atom), followed by a very good discussion of the spectrum of the hydrogen atom and of one-electron atoms in general. Then various approximations are discussed: the central field approximation, jj-coupling, RS coupling, spin-orbit interactions, almost closed shells, etc . . . Although written in 1935 (and revised in 1962), this books remains relevant for today's students; the laws of nature, after all, don't grow old as books do. Another good thing about this book is the wealth of information one can find in it. If it has to do with atoms, you'll probably find it here - for instance, a very good discussion of rare gases and of the finiteness of the nucleus. The good things having been said, it's now time to move on to some bad points. Two, actually; first of all, some of the modern methods of dealing with atoms are not included in this book (naturally, considering the time it was written in). This means that this book is not aimed at helping current research but at neatly summarizing past knowledge. Also, its style is dry and a bit tiresome. I'd recommend this book to people who are interested in learning about atomic physics. It is too specialized for anyone from outside the field.

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Theoretical Atomic Physics
Harald S. Friedrich
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 354025644X

Book Description

This established text and reference contains an advanced presentation of quantum mechanics adapted to the requirements of modern atomic physics. It includes topics of great current interest such as semiclassical theory, chaos and Bose-Einstein condensation in atomic gases. The third edition of Theoretical Atomic Physics extends the successful second edition with a detailed treatment of the wave motion of atoms near the anticlassical or extreme quantum regime, and it also contains an introduction to some aspects of atom optics that are relevant for current and future experiments involving ultra-cold atoms. Various problems are included together with complete solutions. Because it has more emphasis on theory, this book enables the reader to appreciate the fundamental assumptions underlying standard theoretical constructs and to embark on independent research projects.

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Theory of Atomic Spectra
Igor I. Sobelman
Manufacturer: Alpha Science International, Ltd
ProductGroup: Book
Binding: Hardcover

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ASIN: 1842652036

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Molecular Rotation Spectra
H. W. Kroto
Manufacturer: Dover Publications
ProductGroup: Book
Binding: Paperback

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Book Description

This rigorous mathematical treatment offers a blend of the physical understanding necessary to formulate problems related to molecular rotation spectra and the abstract quantum mechanical expertise needed to solve them. 95 illustrations. 1975 edition.

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Atomic spectra
H. G Kuhn
Manufacturer: Academic Press
ProductGroup: Book
Binding: Hardcover

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Few-Body Problems in Physics `'02: Proceedings of the XVIIIth European Conference on Few-Body Problems in Physics, Bled, Slovenia, September 8-14, 2002 (Few-Body Systems)

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Few-Body Problems in Physics `'02: Proceedings of the XVIIIth European Conference on Few-Body Problems in Physics, Bled, Slovenia, September 8-14, 2002 (Few-Body Systems)

Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 3211839003

Book Description

The book contains invited and contributed talks presented at the 18th European Conference on Few-Body Problems in Physics, held in Bled (Slovenia) in September 2002. The topics covered range from sub-nucleonic to molecular scales and demonstrate the latest theoretical, experimental, and computational advances, with an emphasis on interdisciplinarity of few-body techniques.

Generalized Sturmians And Atomic Spectra

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Generalized Sturmians And Atomic Spectra
James Avery and John Avery
Manufacturer: World Scientific Publishing Company
ProductGroup: Book
Binding: Hardcover

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Book Description

Recorded history is a finely-woven magic fabric of intricate lies about events predating the sixteenth century. There is not a single piece of evidence that can be reliably and independently traced back earlier than the eleventh century. This book details events that are substantiated by hard facts and logic, and validated by new astronomical research and statistical analysis of ancient sources.

Customer Reviews:

Calculations are only as good as your numbers.......2007-08-03

Yes, we can all agree that mainstream history is nearly 100% BS due to politics, economics, ego, problems with dating techniques, and various conspiracies. Agreed. But, I've been researching the distinct possibility that human history (in terms of civilizations) are much more ancient than we've been told, so coming across this book was very interesting to me. I wondered how Fomenko could be wrong (if at all) because he is very persuasive in his presentations. Then it dawned on me. If at previous times in prehistory, due to the various catastrophies that are well documented (comets, asteroids, planetary disruptions, plasma discharge, pole reversals, etc) the Earth was in a different position in relation to the sun, different tilt on its axis, different orbit, different rotation (in terms of velocity and DIRECTION), and the continents were in different positions, then would this not cause the ancients to see the sky (constellations) differently? In other words, is Fomenko making erronious assumptions about the physics of the Earth in pre-history, which then corrupt his data with regards to dating the relevant astrology? The last event to seriously disrupt our planet occured roughly 3500 years ago, according to other good researchers, so is it possible Fomenko has been confused by this? The vastly different physics of our planet in the not so distant past may explain this confusion, which is not to say the "mainstream" version of history is correct; on the contrary. I am not an expert in these fields, but wanted to see if this idea could spark discussion.

Pants on fire?.......2007-07-19

Will people ever read before spamming? Yes, Jesuits could not rewrite world history alone, they had help. Anyway, Dr Prof Acad A.Fomenko does not point to jesuits as the driving force of world wide history manipulation in published volumes 1,2,3;, actually he barely mentions the poor devils. Check it with 'Search inside' feature, please. China is rarely mentioned either, in fact, Dr Fomenko is completely eurocentric. Right, his theory contradicts all mainstream schools of history, because in their actual state they are all built on blatantly erroneus chronology. You don't need a mysterious cabal (conspiracy) to falsify history, the falsification is its modus operandi. It is inherent to history(ians) to falsify (distort) events, as it is inherent to humans to boast as it is inherent to power (authority) to legimize itself by referrring to glorious past made to its own order. Dr Prof Fomenko and team have identified scores of instances of such manipulation in Russian, European, etc.. history, and delivered valid statistical proof thereof. His own 'reconstruction' is completely another story. Forget c14 as a valid method of dating. W.Libby has initially discovered a brilliant method of INDEPENDENT dating. Too bad, c14 method has become a joke after a forced marrige with dendrochronology with consensual chronological scale inbuilt. Radiocarbon method can't stand blind tests, but is so very productive as a rubberstamp.

Accepted History & Chronology Must Be Changed. .......2007-04-09

There is no doubt that history as most know it is a sham, & institution's version of History both University & Church is fradulent & inaccurate. Everything was established with an agenda, The real "Dark Ages" are now when we have access to incredible amounts of information past authorities & more important 'common folk' didn't have but our institutions & educators are slow to evolve because of what has ignorantly & arrogantly been taught for too long. This is on many subjects not just Chronology.

For anyone to question "Why would a Mathematician have anything credible to say of History?" The answer is from Dr. Fomenko's preface in the book: "It would be worthwhile to remind the reader that in the XVI-XVII century Chronology was considered to be a subdivision of Mathematics." These volumes could possibly be some of the most important works to date & should be read by everyone with an interest in History, especially professors & educators who have a duty to the public. I have read both books & must say that 'Chronology 1' has some very eye opening & revolutionary information. Even if these volumes are part true the implications are profound & opens the doors to further investigations & questions which must be done. I speak several different lanquages & must say the logic Dr. Fomenko uses with "inflection" of words & words being read from left to right in one region & right to left in another then written backwards, the removal of vowels & get down to basics of words, or different cities & locations having the same name etc. is correct. Vowel usage has always been optional & varied, actually complicating linquistics & study. The first thing one has to understand is that words never had a fixed spelling in history like we do now, the spelling of words was mutable & regional, as well as names & titles of people were vast, varied & changed, NOTHING WAS FIXED or understood linear. Matters of Life & Death as well as financial profiteering yesterday & today were & are made with ignorant, illogical & conspiratorial views of history & reality, it's time people get closer to the Truth & society collectively grow up.

Very Interesting.......2007-03-07

It is a good proposal and I believe it will mature into something even better in the future. I think it deserves to be read.

History as Science Fiction.......2007-01-10

Anatoly Fomenko has written a very intriguing book, full of pictures, charts, and computer 'proof' of his thesis: backwards of AD900 we don't really know what happened or when. Between AD900 and AD1600 there is more certainty, but there is still a lot of fuzzy ground, and things don't get reliable until we get past the 1600's where the printing press made it very difficult for the perpetrators of this timeline manipulation to change anything that had been committed to print. The Dark Ages did not happen. Books were burned for a reason. One organization has doubled the actual length of its existence by expanding the real chronology. Read why.

I had always wondered why Christ died about AD33 and yet men waited until the 11th century to form the Knights Templar, the Cathars, etc and go after the Holy Land by force. Why the 1000 year gap? Turns out there wasn't more than a 10-12 year gap and he proves it using astronomy. This also implies that the planet is not as old as we have been told, and current Christian and other creationist scientists are already championing that idea without being aware of Fomenko's book. The two groups, creationist scientists and the Russian mathematical analysts corroborate each other. Fascinating.

Of course, all this flies in the face of what we have been told traditionally is the 'proper' chronology of western civilization, and most readers will experience 'cognitive dissonance' in reading this book. It means that our history going backwards from AD1600 becomes progressively more incorrect and unreliable until it cannot be trusted at all... in the space of 700-800 years.

Naturally, the curious, open-minded reader will want to know WHO did this, WHY, and did any of the events we think of as really ancient ever happen?
Dr. Fomenko is a respected scientist/mathematician at Moscow State University who has already answered these questions to the satisfaction of his initially skeptical colleagues. Most of them are now believers, a few still refuse to believe (the usual diehards), and of course the western press has ignored Fomenko's work -- for obvious reasons when you read the book. The ones who perpetrated this chronology ruse have a lot to answer for. They are still with us. That's why this book is a well-kept secret.

I gave the book a 4-star rating because I was unable to check out some of his claims; those I checked were as he said. But if even 1/3 of his claims are true, this punches a big hole in what we think is our history, the meaning of western civilization, our educational process (for repeating the ruse as gospel), and the trustworthiness of the organization that perpetrated this ruse, well-intentioned or not.

This book relates to current research into a Young Earth paradigm, to John Keel's discoveries about our planet, and Fr Malachi Martin's insights (in his now out-of-print books). We are indeed sheep who are manipulated and kept ignorant -- for a reason. While knowing what these men have to say may be the "booby prize" (as in: 'what can you do with this knowledge?'), it will provide interesting reading. Didn't someone say: "...and the Truth will set you free."?? For you to judge if this book contains the truth.

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Poor People: Library Edition
Fyodor Dostoyevsky
Manufacturer: Blackstone Audiobooks
ProductGroup: Book
Binding: MP3 CD

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ASIN: 078618616X

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