Hilbert Spaces Wavelets Generalised Functions And Modern Quantum Mechanics

Author : W.-H. Steeb
Publisher : Springer Science & Business Media
ISBN 13 : 9401153329
Total Pages : 247 pages
Book Rating : 4.24/5 ( download)

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Download or read book Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics written by W.-H. Steeb and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive introduction to modern quantum mechanics, emphasising the underlying Hilbert space theory and generalised function theory. All the major modern techniques and approaches used in quantum mechanics are introduced, such as Berry phase, coherent and squeezed states, quantum computing, solitons and quantum mechanics. Audience: The book is suitable for graduate students in physics and mathematics.

Author : Willi-Hans Steeb
Publisher : World Scientific Publishing Company
ISBN 13 : 9789811246838
Total Pages : 0 pages
Book Rating : 4.31/5 ( download)

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Download or read book Problems and Solutions in Banach Spaces, Hilbert Spaces, Fourier Transform, Wavelets, Generalized Functions and Quantum Mechanics written by Willi-Hans Steeb and published by World Scientific Publishing Company. This book was released on 2022-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book summarizes the different topics in Functional Analysis with applications to Quantum Theory. It further includes Supplementary Problems and Programming Problems with Solutions"--

Author : Jirí Blank
Publisher : Springer Science & Business Media
ISBN 13 : 1402088701
Total Pages : 677 pages
Book Rating : 4.04/5 ( download)

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Download or read book Hilbert Space Operators in Quantum Physics written by Jirí Blank and published by Springer Science & Business Media. This book was released on 2008-09-24 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new edition of this book detailing the theory of linear-Hilbert space operators and their use in quantum physics contains two new chapters devoted to properties of quantum waveguides and quantum graphs. The bibliography contains 130 new items.

Author : Werner O. Amrein
Publisher : EPFL Press
ISBN 13 : 9781420066814
Total Pages : 416 pages
Book Rating : 4.11/5 ( download)

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Download or read book Hilbert Space Methods in Quantum Mechanics written by Werner O. Amrein and published by EPFL Press. This book was released on 2009-01-01 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The necessary foundation in quantum mechanics is covered in this book. Topics include basic properties of Hibert spaces, scattering theory, and a number of applications such as the S-matrix, time delay, and the Flux-Across-Surfaces Theorem.

Author : Elemer E. Rosinger
Publisher : Springer Science & Business Media
ISBN 13 : 9401590761
Total Pages : 247 pages
Book Rating : 4.61/5 ( download)

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Download or read book Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs written by Elemer E. Rosinger and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents global actions of arbitrary Lie groups on large classes of generalised functions by using a novel parametric approach. This new method extends and completes earlier results of the author and collaborators, in which global Lie group actions on generalised functions were only defined in the case of projectable or fibre-preserving Lie group actions. The parametric method opens the possibility of dealing with vastly larger classes of Lie semigroup actions which still transform solutions into solutions. These Lie semigroups can contain arbitrary noninvertible smooth mappings. Thus, they cannot be subsemigroups of Lie groups. Audience: This volume is addressed to graduate students and researchers involved in solving linear and nonlinear partial differential equations, and in particular, in dealing with the Lie group symmetries of their classical or generalised solutions.

Author : Guido Fano
Publisher : Springer
ISBN 13 : 3319587323
Total Pages : 271 pages
Book Rating : 4.25/5 ( download)

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Download or read book Twenty-First Century Quantum Mechanics: Hilbert Space to Quantum Computers written by Guido Fano and published by Springer. This book was released on 2017-06-27 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed to make accessible to nonspecialists the still evolving concepts of quantum mechanics and the terminology in which these are expressed. The opening chapters summarize elementary concepts of twentieth century quantum mechanics and describe the mathematical methods employed in the field, with clear explanation of, for example, Hilbert space, complex variables, complex vector spaces and Dirac notation, and the Heisenberg uncertainty principle. After detailed discussion of the Schrödinger equation, subsequent chapters focus on isotropic vectors, used to construct spinors, and on conceptual problems associated with measurement, superposition, and decoherence in quantum systems. Here, due attention is paid to Bell’s inequality and the possible existence of hidden variables. Finally, progression toward quantum computation is examined in detail: if quantum computers can be made practicable, enormous enhancements in computing power, artificial intelligence, and secure communication will result. This book will be of interest to a wide readership seeking to understand modern quantum mechanics and its potential applications.

Author : Willi-hans Steeb
Publisher : World Scientific
ISBN 13 : 9811245746
Total Pages : 454 pages
Book Rating : 4.49/5 ( download)

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Download or read book Problems And Solutions In Banach Spaces, Hilbert Spaces, Fourier Transform, Wavelets, Generalized Functions And Quantum Mechanics written by Willi-hans Steeb and published by World Scientific. This book was released on 2022-08-23 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a collection of problems and solutions in functional analysis with applications to quantum mechanics. Emphasis is given to Banach spaces, Hilbert spaces and generalized functions.The material of this volume is self-contained, whereby each chapter comprises an introduction with the relevant notations, definitions, and theorems. The approach in this volume is to provide students with instructive problems along with problem-solving strategies. Programming problems with solutions are also included.

Author : Corneliu Constantinescu
Publisher : Springer Science & Business Media
ISBN 13 : 9400708521
Total Pages : 877 pages
Book Rating : 4.25/5 ( download)

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Download or read book Advanced Integration Theory written by Corneliu Constantinescu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 877 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since about 1915 integration theory has consisted of two separate branches: the abstract theory required by probabilists and the theory, preferred by analysts, that combines integration and topology. As long as the underlying topological space is reasonably nice (e.g., locally compact with countable basis) the abstract theory and the topological theory yield the same results, but for more compli cated spaces the topological theory gives stronger results than those provided by the abstract theory. The possibility of resolving this split fascinated us, and it was one of the reasons for writing this book. The unification of the abstract theory and the topological theory is achieved by using new definitions in the abstract theory. The integral in this book is de fined in such a way that it coincides in the case of Radon measures on Hausdorff spaces with the usual definition in the literature. As a consequence, our integral can differ in the classical case. Our integral, however, is more inclusive. It was defined in the book "C. Constantinescu and K. Weber (in collaboration with A.

Author : V. Bykov
Publisher : Springer Science & Business Media
ISBN 13 : 9401153027
Total Pages : 254 pages
Book Rating : 4.27/5 ( download)

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Download or read book Elimination Methods in Polynomial Computer Algebra written by V. Bykov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of this book is connected with a new direction in mathematics, which has been actively developed over the last few years, namely the field of polynomial computer algebra, which lies at the intersection point of algebra, mathematical analysis and programming. There were several incentives to write the book. First of all, there has lately been a considerable interest in applied nonlinear problems characterized by multiple sta tionary states. Practical needs have then in their turn led to the appearance of new theoretical results in the analysis of systems of nonlinear algebraic equations. And finally, the introduction of various computer packages for analytic manipulations has made it possible to use complicated elimination-theoretical algorithms in prac tical research. The structure of the book is accordingly represented by three main parts: Mathematical results driven to constructive algorithms, computer algebra realizations of these algorithms, and applications. Nonlinear systems of algebraic equations arise in diverse fields of science. In particular, for processes described by systems of differential equations with a poly nomial right hand side one is faced with the problem of determining the number (and location) of the stationary states in certain sets.

Author : Xiaoping Xu
Publisher : Springer Science & Business Media
ISBN 13 : 9401590974
Total Pages : 371 pages
Book Rating : 4.76/5 ( download)

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Download or read book Introduction to Vertex Operator Superalgebras and Their Modules written by Xiaoping Xu and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic study on the structures of vertex operator superalgebras and their modules. Related theories of self-dual codes and lattices are included, as well as recent achievements on classifications of certain simple vertex operator superalgebras and their irreducible twisted modules, constructions of simple vertex operator superalgebras from graded associative algebras and their anti-involutions, self-dual codes and lattices. Audience: This book is of interest to researchers and graduate students in mathematics and mathematical physics.