Algebraic Approach to Simple Quantum Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Approach to Simple Quantum Systems write by Barry G. Adams. This book was released on 2012-12-06. Algebraic Approach to Simple Quantum Systems available in PDF, EPUB and Kindle. This book provides an introduction to the use of algebraic methods and sym bolic computation for simple quantum systems with applications to large order perturbation theory. It is the first book to integrate Lie algebras, algebraic perturbation theory and symbolic computation in a form suitable for students and researchers in theoretical and computational chemistry and is conveniently divided into two parts. The first part, Chapters 1 to 6, provides a pedagogical introduction to the important Lie algebras so(3), so(2,1), so(4) and so(4,2) needed for the study of simple quantum systems such as the D-dimensional hydrogen atom and harmonic oscillator. This material is suitable for advanced undergraduate and beginning graduate students. Of particular importance is the use of so(2,1) in Chapter 4 as a spectrum generating algebra for several important systems such as the non-relativistic hydrogen atom and the relativistic Klein-Gordon and Dirac equations. This approach provides an interesting and important alternative to the usual textbook approach using series solutions of differential equations.
The Logico-Algebraic Approach to Quantum Mechanics
The Logico-Algebraic Approach to Quantum Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Logico-Algebraic Approach to Quantum Mechanics write by C.A. Hooker. This book was released on 2012-12-06. The Logico-Algebraic Approach to Quantum Mechanics available in PDF, EPUB and Kindle. The twentieth century has witnessed a striking transformation in the un derstanding of the theories of mathematical physics. There has emerged clearly the idea that physical theories are significantly characterized by their abstract mathematical structure. This is in opposition to the tradi tional opinion that one should look to the specific applications of a theory in order to understand it. One might with reason now espouse the view that to understand the deeper character of a theory one must know its abstract structure and understand the significance of that struc ture, while to understand how a theory might be modified in light of its experimental inadequacies one must be intimately acquainted with how it is applied. Quantum theory itself has gone through a development this century which illustrates strikingly the shifting perspective. From a collection of intuitive physical maneuvers under Bohr, through a formative stage in which the mathematical framework was bifurcated (between Schrödinger and Heisenberg) to an elegant culmination in von Neumann's Hilbert space formulation the elementary theory moved, flanked even at the later stage by the ill-understood formalisms for the relativistic version and for the field-theoretic altemative; after that we have a gradual, but constant, elaboration of all these quantal theories as abstract mathematical struc tures (their point of departure being von Neumann's formalism) until at the present time theoretical work is heavily preoccupied with the manip ulation of purely abstract structures.
Quantum Logic in Algebraic Approach
Quantum Logic in Algebraic Approach - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quantum Logic in Algebraic Approach write by Miklós Rédei. This book was released on 2013-03-09. Quantum Logic in Algebraic Approach available in PDF, EPUB and Kindle. This work has grown out of the lecture notes that were prepared for a series of seminars on some selected topics in quantum logic. The seminars were delivered during the first semester of the 1993/1994 academic year in the Unit for Foundations of Science of the Department of History and Foundations of Mathematics and Science, Faculty of Physics, Utrecht University, The Netherlands, while I was staying in that Unit on a European Community Research Grant, and in the Center for Philosophy of Science, University of Pittsburgh, U. S. A. , where I was staying during the 1994/1995 academic year as a Visiting Fellow on a Fulbright Research Grant, and where I also was supported by the Istvan Szechenyi Scholarship Foundation. The financial support provided by these foundations, by the Center for Philosophy of Science and by the European Community is greatly acknowledged, and I wish to thank D. Dieks, the professor of the Foundations Group in Utrecht and G. Massey, the director of the Center for Philosophy of Science in Pittsburgh for making my stay at the respective institutions possible. I also wish to thank both the members of the Foundations Group in Utrecht, especially D. Dieks, C. Lutz, F. Muller, J. Uffink and P. Vermaas and the participants in the seminars at the Center for Philosophy of Science in Pittsburgh, especially N. Belnap, J. Earman, A. Janis, J. Norton, and J.
Quantum Mechanics in Simple Matrix Form
Quantum Mechanics in Simple Matrix Form - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quantum Mechanics in Simple Matrix Form write by Thomas F. Jordan. This book was released on 2012-05-23. Quantum Mechanics in Simple Matrix Form available in PDF, EPUB and Kindle. With this text, basic quantum mechanics becomes accessible to undergraduates with no background in mathematics beyond algebra. Includes more than 100 problems and 38 figures. 1986 edition.
Algebraic Approach to Interacting Quantum Systems
Algebraic Approach to Interacting Quantum Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Approach to Interacting Quantum Systems write by Cristian D. Batista. This book was released on 2004. Algebraic Approach to Interacting Quantum Systems available in PDF, EPUB and Kindle.
