Lectures On Quantum Mechanics For Mathematics Students PDF Download
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| Author | : L. D. Faddeev |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 250 |
| Release | : 2009 |
| Genre | : Quantum theory |
| ISBN | : 082184699X |
Download Lectures on Quantum Mechanics for Mathematics Students Book in PDF, ePub and Kindle
Describes 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 |
| Total Pages | : 585 |
| Release | : 2020-09-17 |
| Genre | : Science |
| ISBN | : 1108429769 |
Download Lectures on Quantum Mechanics Book in PDF, ePub and Kindle
A 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 |
| Total Pages | : 96 |
| Release | : 2013-05-27 |
| Genre | : Science |
| ISBN | : 0486320286 |
Download Lectures on Quantum Mechanics Book in PDF, ePub and Kindle
Four 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 | : Steven Weinberg |
| Publisher | : Cambridge University Press |
| Total Pages | : 379 |
| Release | : 2013 |
| Genre | : Science |
| ISBN | : 1107028728 |
Download Lectures on Quantum Mechanics Book in PDF, ePub and Kindle
"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 | : Leon Armenovich Takhtadzhi͡an |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 410 |
| Release | : 2008 |
| Genre | : Mathematics |
| ISBN | : 0821846302 |
Download Quantum Mechanics for Mathematicians Book in PDF, ePub and Kindle
Presents 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 | : Alessandro Teta |
| Publisher | : Springer |
| Total Pages | : 265 |
| Release | : 2018-04-17 |
| Genre | : Science |
| ISBN | : 3319778935 |
Download A Mathematical Primer on Quantum Mechanics Book in PDF, ePub and Kindle
This 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 | : Brian C. Hall |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 566 |
| Release | : 2013-06-19 |
| Genre | : Science |
| ISBN | : 1461471168 |
Download Quantum Theory for Mathematicians Book in PDF, ePub and Kindle
Although 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 | : Jean-Louis Basdevant |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 315 |
| Release | : 2007-05-26 |
| Genre | : Science |
| ISBN | : 0387377441 |
Download Lectures on Quantum Mechanics Book in PDF, ePub and Kindle
Beautifully 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 | : Jens Carsten Jantzen |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 282 |
| Release | : 1996 |
| Genre | : Mathematical physics |
| ISBN | : 0821804782 |
Download Lectures on Quantum Groups Book in PDF, ePub and Kindle
The material is very well motivated ... Of the various monographs available on quantum groups, this one ... seems the most suitable for most mathematicians new to the subject ... will also be appreciated by a lot of those with considerably more experience. --Bulletin of the London Mathematical Society Since its origin, the theory of quantum groups has become one of the most fascinating topics of modern mathematics, with numerous applications to several sometimes rather disparate areas, including low-dimensional topology and mathematical physics. This book is one of the first expositions that is specifically directed to students who have no previous knowledge of the subject. The only prerequisite, in addition to standard linear algebra, is some acquaintance with the classical theory of complex semisimple Lie algebras. Starting with the quantum analog of $\mathfrak{sl}_2$, the author carefully leads the reader through all the details necessary for full understanding of the subject, particularly emphasizing similarities and differences with the classical theory. The final chapters of the book describe the Kashiwara-Lusztig theory of so-called crystal (or canonical) bases in representations of complex semisimple Lie algebras. The choice of the topics and the style of exposition make Jantzen's book an excellent textbook for a one-semester course on quantum groups.
| Author | : Gianfausto Dell'Antonio |
| Publisher | : Springer |
| Total Pages | : 459 |
| Release | : 2015-05-25 |
| Genre | : Science |
| ISBN | : 9462391181 |
Download Lectures on the Mathematics of Quantum Mechanics I Book in PDF, ePub and Kindle
The first volume (General Theory) differs from most textbooks as it emphasizes the mathematical structure and mathematical rigor, while being adapted to the teaching the first semester of an advanced course in Quantum Mechanics (the content of the book are the lectures of courses actually delivered.). It differs also from the very few texts in Quantum Mechanics that give emphasis to the mathematical aspects because this book, being written as Lecture Notes, has the structure of lectures delivered in a course, namely introduction of the problem, outline of the relevant points, mathematical tools needed, theorems, proofs. This makes this book particularly useful for self-study and for instructors in the preparation of a second course in Quantum Mechanics (after a first basic course). With some minor additions it can be used also as a basis of a first course in Quantum Mechanics for students in mathematics curricula. The second part (Selected Topics) are lecture notes of a more advanced course aimed at giving the basic notions necessary to do research in several areas of mathematical physics connected with quantum mechanics, from solid state to singular interactions, many body theory, semi-classical analysis, quantum statistical mechanics. The structure of this book is suitable for a second-semester course, in which the lectures are meant to provide, in addition to theorems and proofs, an overview of a more specific subject and hints to the direction of research. In this respect and for the width of subjects this second volume differs from other monographs on Quantum Mechanics. The second volume can be useful for students who want to have a basic preparation for doing research and for instructors who may want to use it as a basis for the presentation of selected topics.
