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Author: L. D. Faddeev
Publisher: American Mathematical Soc.
Published: 2009
Total Pages: 250
ISBN-13: 082184699X
DOWNLOAD EBOOKDescribes the relation between classical and quantum mechanics. This book contains a discussion of problems related to group representation theory and to scattering theory. It intends to give a mathematically oriented student the opportunity to grasp the main points of quantum theory in a mathematical framework.
Author: Philip L. Bowers
Publisher: Cambridge University Press
Published: 2020-09-17
Total Pages: 585
ISBN-13: 1108429769
DOWNLOAD EBOOKA leisurely but mathematically honest presentation of quantum mechanics for graduate students in mathematics with an interest in physics.
Author: Paul A. M. Dirac
Publisher: Courier Corporation
Published: 2013-05-27
Total Pages: 100
ISBN-13: 0486320286
DOWNLOAD EBOOKFour concise, brilliant lectures on mathematical methods in quantum mechanics from Nobel Prize–winning quantum pioneer build on idea of visualizing quantum theory through the use of classical mechanics.
Author: Leon Armenovich Takhtadzhi͡an
Publisher: American Mathematical Soc.
Published: 2008
Total Pages: 410
ISBN-13: 0821846302
DOWNLOAD EBOOKPresents a comprehensive treatment of quantum mechanics from a mathematics perspective. Including traditional topics, like classical mechanics, mathematical foundations of quantum mechanics, quantization, and the Schrodinger equation, this book gives a mathematical treatment of systems of identical particles with spin.
Author: Steven Weinberg
Publisher: Cambridge University Press
Published: 2013
Total Pages: 379
ISBN-13: 1107028728
DOWNLOAD EBOOK"Ideally suited to a one-year graduate course, this textbook is also a useful reference for researchers. Readers are introduced to the subject through a review of the history of quantum mechanics and an account of classic solutions of the Schr.
Author: Brian C. Hall
Publisher: Springer Science & Business Media
Published: 2013-06-19
Total Pages: 566
ISBN-13: 1461471168
DOWNLOAD EBOOKAlthough ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.
Author: Alessandro Teta
Publisher: Springer
Published: 2018-04-17
Total Pages: 265
ISBN-13: 3319778935
DOWNLOAD EBOOKThis book offers a rigorous yet elementary approach to quantum mechanics that will meet the needs of Master’s-level Mathematics students and is equally suitable for Physics students who are interested in gaining a deeper understanding of the mathematical structure of the theory. Throughout the coverage, which is limited to single-particle quantum mechanics, the focus is on formulating theory and developing applications in a mathematically precise manner. Following a review of selected key concepts in classical physics and the historical background, the basic elements of the theory of operators in Hilbert spaces are presented and used to formulate the rules of quantum mechanics. The discussion then turns to free particles, harmonic oscillators, delta potential, and hydrogen atoms, providing rigorous proofs of the corresponding dynamical properties. Starting from an analysis of these applications, readers are subsequently introduced to more advanced topics such as the classical limit, scattering theory, and spectral analysis of Schrödinger operators. The main content is complemented by numerous exercises that stimulate interactive learning and help readers check their progress.
Author: Frederick W. Byron
Publisher: Courier Corporation
Published: 2012-04-26
Total Pages: 674
ISBN-13: 0486135063
DOWNLOAD EBOOKGraduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.
Author: Jean-Louis Basdevant
Publisher: Springer Science & Business Media
Published: 2007-05-26
Total Pages: 315
ISBN-13: 0387377441
DOWNLOAD EBOOKBeautifully illustrated and engagingly written, Twelve Lectures in Quantum Mechanics presents theoretical physics with a breathtaking array of examples and anecdotes. Basdevant’s style is clear and stimulating, in the manner of a brisk lecture that can be followed with ease and enjoyment. Here is a sample of the book’s style, from the opening of Chapter 1: "If one were to ask a passer-by to quote a great formula of physics, chances are that the answer would be ‘E = mc2’.... There is no way around it: all physics is quantum, from elementary particles, to stellar physics and the Big Bang, not to mention semiconductors and solar cells."
Author: Michael Spivak
Publisher:
Published: 2010
Total Pages: 733
ISBN-13: 9780914098324
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