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Author : Arno Böhm
Publisher : Springer
ISBN 13 :
Total Pages : 96 pages
Book Rating : 4.88/5 ( download)
Download or read book The Rigged Hilbert Space and Quantum Mechanics written by Arno Böhm and published by Springer. This book was released on 1978 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. Böhm
Publisher :
ISBN 13 :
Total Pages : 69 pages
Book Rating : 4.64/5 ( download)
Download or read book The Rigged Hilbert Space and Quantum Mechanics written by A. Böhm and published by . This book was released on 1978 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Heinz-Dietrich Doebner
Publisher : Springer
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.09/5 ( download)
Download or read book Irreversibility and Causality written by Heinz-Dietrich Doebner and published by Springer. This book was released on 1998-05-05 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Selection of Articles Presented at the 21st International Colloquium on Group Theoretical Methods in Physics (ICGTMP) at Goslar, Germany, July 16-21, 1996
Author : Arno Bohm
Publisher : Springer
ISBN 13 : 9783662137505
Total Pages : 120 pages
Book Rating : 4.0X/5 ( download)
Download or read book Dirac Kets, Gamow Vectors and Gel’fand Triplets written by Arno Bohm and published by Springer. This book was released on 2014-03-12 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dirac's formalism of quantum mechanics was always praised for its elegance. This book introduces the student to its mathematical foundations and demonstrates its ease of applicability to problems in quantum physics. The book starts by describing in detail the concept of Gel'fand triplets and how one can make use of them to make the Dirac heuristic approach rigorous. The results are then deepened by giving the analytic tools, such as the Hardy class function and Hilbert and Mellin transforms, needed in applications to physical problems. Next, the RHS model for decaying states based on the concept of Gamow vectors is presented. Applications are given to physical theories of such phenomena as decaying states and resonances.
Author : Leslie E. Ballentine
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789814578578
Total Pages : 722 pages
Book Rating : 4.76/5 ( download)
Download or read book Quantum Mechanics written by Leslie E. Ballentine and published by World Scientific Publishing Company Incorporated. This book was released on 2014-08-25 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although there are many textbooks that deal with the formal apparatus of quantum mechanics (QM) and its application to standard problems, none take into account the developments in the foundations of the subject which have taken place in the last few decades. There are specialized treatises on various aspects of the foundations of QM, but none that integrate those topics with the standard material. This book aims to remove that unfortunate dichotomy, which has divorced the practical aspects of the subject from the interpretation and broader implications of the theory.In this edition a new chapter on quantum information is added. As the topic is still in a state of rapid development, a comprehensive treatment is not feasible. The emphasis is on the fundamental principles and some key applications, including quantum cryptography, teleportation of states, and quantum computing. The impact of quantum information theory on the foundations of quantum mechanics is discussed. In addition, there are minor revisions to several chapters.The book is intended primarily as a graduate level textbook, but it will also be of interest to physicists and philosophers who study the foundations of QM. Parts of it can be used by senior undergraduates too.
Author : Arno Böhm
Publisher :
ISBN 13 : 9780387519166
Total Pages : 151 pages
Book Rating : 4.65/5 ( download)
Download or read book Dirac Kets, Gamow Vectors, and Gel'fand Triplets written by Arno Böhm and published by . This book was released on 1969 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David W. Cohen
Publisher : Springer Science & Business Media
ISBN 13 : 1461388414
Total Pages : 159 pages
Book Rating : 4.18/5 ( download)
Download or read book An Introduction to Hilbert Space and Quantum Logic written by David W. Cohen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historically, nonclassical physics developed in three stages. First came a collection of ad hoc assumptions and then a cookbook of equations known as "quantum mechanics". The equations and their philosophical underpinnings were then collected into a model based on the mathematics of Hilbert space. From the Hilbert space model came the abstaction of "quantum logics". This book explores all three stages, but not in historical order. Instead, in an effort to illustrate how physics and abstract mathematics influence each other we hop back and forth between a purely mathematical development of Hilbert space, and a physically motivated definition of a logic, partially linking the two throughout, and then bringing them together at the deepest level in the last two chapters. This book should be accessible to undergraduate and beginning graduate students in both mathematics and physics. The only strict prerequisites are calculus and linear algebra, but the level of mathematical sophistication assumes at least one or two intermediate courses, for example in mathematical analysis or advanced calculus. No background in physics is assumed.
Author : R. I. G. Hughes
Publisher : Harvard University Press
ISBN 13 : 9780674843929
Total Pages : 388 pages
Book Rating : 4.24/5 ( download)
Download or read book The Structure and Interpretation of Quantum Mechanics written by R. I. G. Hughes and published by Harvard University Press. This book was released on 1989 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important work provides an account of the philosophical foundations of quantum theory that should become a classic text for scientists and nonscientists alike. Hughes offers the first detailed and accessible analysis of the Hilbert-space models used in quantum theory and explains why they are so successful. He goes on to show how the very suitability of Hilbert spaces for modeling the quantum world gives rise to deep problems of interpretation, and makes suggestions about how they can be overcome.
Author : Carlo Alabiso
Publisher : Springer Nature
ISBN 13 : 3030674177
Total Pages : 343 pages
Book Rating : 4.75/5 ( download)
Download or read book A Primer on Hilbert Space Theory written by Carlo Alabiso and published by Springer Nature. This book was released on 2021-03-03 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an essential introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for providing an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, lies in the strenuous mathematics demands that even the simplest physical cases entail. Graduate courses in physics rarely offer enough time to cover the theory of Hilbert space and operators, as well as distribution theory, with sufficient mathematical rigor. Accordingly, compromises must be found between full rigor and the practical use of the instruments. Based on one of the authors’s lectures on functional analysis for graduate students in physics, the book will equip readers to approach Hilbert space and, subsequently, rigged Hilbert space, with a more practical attitude. It also includes a brief introduction to topological groups, and to other mathematical structures akin to Hilbert space. Exercises and solved problems accompany the main text, offering readers opportunities to deepen their understanding. The topics and their presentation have been chosen with the goal of quickly, yet rigorously and effectively, preparing readers for the intricacies of Hilbert space. Consequently, some topics, e.g., the Lebesgue integral, are treated in a somewhat unorthodox manner. The book is ideally suited for use in upper undergraduate and lower graduate courses, both in Physics and in Mathematics.
Author : Geoffrey Sewell
Publisher : Princeton University Press
ISBN 13 : 0691221278
Total Pages : 308 pages
Book Rating : 4.74/5 ( download)
Download or read book Quantum Mechanics and Its Emergent Macrophysics written by Geoffrey Sewell and published by Princeton University Press. This book was released on 2020-11-10 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quantum theory of macroscopic systems is a vast, ever-developing area of science that serves to relate the properties of complex physical objects to those of their constituent particles. Its essential challenge is that of finding the conceptual structures needed for the description of the various states of organization of many-particle quantum systems. In this book, Geoffrey Sewell provides a new approach to the subject, based on a "macrostatistical mechanics," which contrasts sharply with the standard microscopic treatments of many-body problems. Sewell begins by presenting the operator algebraic framework for the theory. He then undertakes a macrostatistical treatment of both equilibrium and nonequilibrium thermodynamics, which yields a major new characterization of a complete set of thermodynamic variables and a nonlinear generalization of the Onsager theory. The remainder of the book focuses on ordered and chaotic structures that arise in some key areas of condensed matter physics. This includes a general derivation of superconductive electrodynamics from the assumptions of off-diagonal long-range order, gauge covariance, and thermodynamic stability, which avoids the enormous complications of the microscopic treatments. Sewell also unveils a theoretical framework for phase transitions far from thermal equilibrium. Throughout, the mathematics is kept clear without sacrificing rigor. Representing a coherent approach to the vast problem of the emergence of macroscopic phenomena from quantum mechanics, this well-written book is addressed to physicists, mathematicians, and other scientists interested in quantum theory, statistical physics, thermodynamics, and general questions of order and chaos.
