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Get Free Ebook Symplectic Geometry and Quantum Mechanics (Operator Theory: Advances and Applications)By Maurice A. de Gosson

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Symplectic Geometry and Quantum Mechanics (Operator Theory: Advances and Applications)By Maurice A. de Gosson

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This book offers a complete discussion of techniques and topics intervening in the mathematical treatment of quantum and semi-classical mechanics. It starts with a very readable introduction to symplectic geometry. Many topics are also of genuine interest for pure mathematicians working in geometry and topology.

• Sales Rank: #3947215 in Books
• Brand: Brand: Birkhäuser
• Published on: 2006-06-30
• Original language: English
• Number of items: 1
• Dimensions: 10.00" h x .88" w x 7.00" l, 1.97 pounds
• Binding: Hardcover
• 368 pages

• Used Book in Good Condition

Review

From the reviews:

"De Gosson’s book is an exhaustive and clear description of almost all the more recent results obtained in connected areas of research like symplectiv geometry, the combinatorial theory of the Maslov index, the theory of the metaplectic group and so on. It fills an important niche in the literature." -Mircea Crâsmareanu, Analele Stiintifice

"This book concerns certain aspects of symplectic geometry and their application to quantum mechanics. … This book seems best suited to someone who already has a solid background in quantum theory and wants to learn more about the symplectic geometric techniques used in quantization. … the book contains useful information about various important topics." (Brian C. Hall, Mathematical Reviews, Issue 2007 e)

“This book covers … symplectic geometry and their applications in quantum mechanics with an emphasis on phase space methods. … The exposition is very detailed and complete proofs are given. … the book takes a particularly fresh point of view on some of the topics and contains a lot of useful information for readers with some background in quantum theory and an interest in the use of symplectic techniques.” (R. Steinbauer, Monatshefte für Mathematik, Vol. 155 (1), September, 2008)

From the Back Cover

This book is devoted to a rather complete discussion of techniques and topics intervening in the mathematical treatment of quantum and semi-classical mechanics. It starts with a  rigorous presentation of the basics of symplectic geometry and of its multiply-oriented extension. Further chapters concentrate on Lagrangian manifolds, Weyl operators and the Wigner-Moyal transform as well as on metaplectic groups and Maslov indices. Thus the keys for the mathematical description of quantum mechanics in phase space are discussed. They are followed by a rigorous geometrical treatment of the uncertainty principle. Then Hilbert-Schmidt and trace-class operators are exposed in order to treat density matrices. In the last chapter the Weyl pseudo-differential calculus is extended to phase space in order to derive a Schrödinger equation in phase space whose solutions are related to those of the usual Schrödinger equation by a wave-packet transform.

The text is essentially self-contained and can be used as basis for graduate courses. Many topics are of genuine interest for pure mathematicians working in geometry and topology.

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• Sales Rank: #1031320 in eBooks
• Published on: 2012-05-12
• Released on: 2012-05-12
• Format: Kindle eBook

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• Amazon Sales Rank: #33062 in Books
• Brand: Ingramcontent
• Published on: 2017-02-03
• Original language: English
• Dimensions: 10.50" h x 8.25" w x .75" l,
• Binding: Paperback
• 440 pages

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About the Author Randall Billingsley is a finance professor at Virginia Tech and an award-winning teacher at both the undergraduate and graduate level. His research, consulting, and teaching focus on equity valuation, risk management and derivatives-based strategies, and regulatory finance. He holds an M.S. in economics and a PhD in finance from Texas A&M. In 2006, he published a financial analysis book with the Wharton School. In addition, his research has been published in many professional journals, including the JOURNAL OF PORTFOLIO MANAGEMENT, JOURNAL OF BANKING AND FINANCE, FINANCIAL MANAGEMENT, JOURNAL OF FINANCIAL RESEARCH, and JOURNAL OF FUTURES MARKETS. He is the former vice president of the CFA Institute. At Virginia Tech he advises the Student-Managed Endowment for Educational Development, which manages an equity portfolio of about $5 million.Lawrence J. Gitman is an emeritus professor of finance at San Diego State University. He received his BA from Purdue University, MBA from the University of Dayton, and PhD from the University of Cincinnati. A prolific author, Dr. Gitman has published more than 50 articles appearing in FINANCIAL MANAGEMENT, the FINANCIAL REVIEW, JOURNAL OF FINANCIAL PLANNING, JOURNAL OF RISK AND INSURANCE, FINANCIAL SERVICES REVIEW, JOURNAL OF FINANCIAL RESEARCH, FINANCIAL PRACTICE AND EDUCATION, JOURNAL OF FINANCIAL EDUCATION, and other scholarly publications.Michael D. Joehnk is an emeritus professor of finance at Arizona State University. In addition to his academic appointments at ASU, Dr. Joehnk spent a year as a visiting professor of finance at the University of Otago in New Zealand. He received his BA and PhD degrees from the University of Arizona and his MBA from Arizona State University. A Chartered Financial Analyst (CFA), he served as a member of the Candidate Curriculum Committee and of the Council of Examiners of the Institute of Chartered Financial Analysts. He also served as a director of the Phoenix Society of Financial Analysts and as secretary-treasurer of the Western Finance Association and was elected to two terms as vice president of the Financial Management Association. Dr. Joehnk has authored or co-authored more than 50 articles, five popular books, and numerous monographs. In addition to co-authoring several books with Dr. Gitman, Dr. Joehnk wrote the highly successful paperback tradebook INVESTING FOR SAFETY'S SAKE. He also has served as editor and contributed to several other prominent books. His articles have appeared in FINANCIAL MANAGEMENT, JOURNAL OF FINANCE, JOURNAL OF BANK RESEARCH, JOURNAL OF PORTFOLIO MANAGEMENT, JOURNAL OF CONSUMER AFFAIRS, JOURNAL OF FINANCIAL AND QUANTITATIVE ANALYSIS, AAII JOURNAL, JOURNAL OF FINANCIAL RESEARCH, BELL JOURNAL OF ECONOMICS, DAILY BOND BUYER, FINANCIAL PLANNER, and other publications. Dr. Joehnk served a six-year term as executive co-editor of the JOURNAL OF FINANCIAL RESEARCH. He and his wife live in Flagstaff, Arizona, where they enjoy hiking and other activities in the nearby mountains and canyons.

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• Sales Rank: #6301418 in Books
• Published on: 2013-05-21
• Original language: English
• Number of items: 1
• Dimensions: 11.02" h x .26" w x 8.27" l, .65 pounds
• Binding: Paperback
• 124 pages

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