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Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics

2013-03-07 Science
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Release : 2013-03-07
Genre : Science
Kind : eBook
Book Rating : 329/5 ( reviews)

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Book Synopsis Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics by : W.-H. Steeb

Download or read book Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics written by W.-H. Steeb. This book was released on 2013-03-07. 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.

Hilbert Spaces, Generalized Functions and Quantum Mechanics

1991 Hilbert space
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Release : 1991
Genre : Hilbert space
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Hilbert Spaces, Generalized Functions and Quantum Mechanics by : Willi-Hans Steeb

Download or read book Hilbert Spaces, Generalized Functions and Quantum Mechanics written by Willi-Hans Steeb. This book was released on 1991. Available in PDF, EPUB and Kindle. Book excerpt:

Hilbert Space Operators in Quantum Physics

2008-09-24 Science
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Release : 2008-09-24
Genre : Science
Kind : eBook
Book Rating : 701/5 ( reviews)

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Book Synopsis Hilbert Space Operators in Quantum Physics by : Jirí Blank

Download or read book Hilbert Space Operators in Quantum Physics written by Jirí Blank. This book was released on 2008-09-24. 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.

Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs

2013-03-09 Mathematics
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Release : 2013-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 761/5 ( reviews)

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Book Synopsis Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs by : Elemer E. Rosinger

Download or read book Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs written by Elemer E. Rosinger. This book was released on 2013-03-09. 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.

Hilbert Space And Quantum Mechanics

2014-12-23 Science
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Release : 2014-12-23
Genre : Science
Kind : eBook
Book Rating : 855/5 ( reviews)

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Book Synopsis Hilbert Space And Quantum Mechanics by : Franco Gallone

Download or read book Hilbert Space And Quantum Mechanics written by Franco Gallone. This book was released on 2014-12-23. Available in PDF, EPUB and Kindle. Book excerpt: The topics of this book are the mathematical foundations of non-relativistic quantum mechanics and the mathematical theory they require. The main characteristic of the book is that the mathematics is developed assuming familiarity with elementary analysis only. Moreover, all the proofs are carried out in detail. These features make the book easily accessible to readers with only the mathematical training offered by undergraduate education in mathematics or in physics, and also ideal for individual study. The principles of quantum mechanics are discussed with complete mathematical accuracy and an effort is made to always trace them back to the experimental reality that lies at their root. The treatment of quantum mechanics is axiomatic, with definitions followed by propositions proved in a mathematical fashion. No previous knowledge of quantum mechanics is required. This book is designed so that parts of it can be easily used for various courses in mathematics and mathematical physics, as suggested in the Preface.The book is of interest to researchers and graduate students in functional analysis, who can see how closely an important part of their chosen field is linked with quantum mechanics, and also to physicists, who can see how the abstract language of functional analysis brings unity to the apparently distinct approaches employed in quantum theory.

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