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1 de Gosson, Maurice A Born-Jordan Quantization I10290 2016 eBook  
2 Cicogna, Giampaolo Exercises and Problems in Mathematical Methods of Physics I09803 2018 eBook  
3 Cicogna, Giampaolo Exercises and Problems in Mathematical Methods of Physics I08828 2020 eBook  
4 Hamhalter, J Quantum Measure Theory I10731 2003 eBook  
5 Verbeure, Andr?? F Many-Body Boson Systems I06898 2011 eBook  
6 Exner, Pavel Quantum Waveguides I06456 2015 eBook  
7 Blank, Jir?? Hilbert Space Operators in Quantum Physics I05795 2008 eBook  
8 Terziogammalu, T Advances in the Theory of Fr??chet Spaces I03867 1989 eBook  
9 Singh, S.P Approximation Theory, Wavelets and Applications I03623 1995 eBook  
10 Berezansky, Yu.M Spectral Methods in Infinite-Dimensional Analysis I03257 1995 eBook  
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TitleBorn-Jordan Quantization : Theory and Applications
Author(s)de Gosson, Maurice A
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2016.
DescriptionXIII, 226 p : online resource
Abstract NoteThis book presents a comprehensive mathematical study of the operators behind the Born???Jordan quantization scheme. The Schr??dinger and Heisenberg pictures of quantum mechanics are equivalent only if the Born???Jordan scheme is used. Thus, Born???Jordan quantization provides the only physically consistent quantization scheme, as opposed to the Weyl quantization commonly used by physicists. In this book we develop Born???Jordan quantization from an operator-theoretical point of view, and analyze in depth the conceptual differences between the two schemes. We discuss various physically motivated approaches, in particular the Feynman-integral point of view. One important and intriguing feature of Born-Jordan quantization is that it is not one-to-one: there are infinitely many classical observables whose quantization is zero
ISBN,Price9783319279022
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. History and Philosophical Foundations of Physics 4. Mathematical Applications in the Physical Sciences 5. MATHEMATICAL PHYSICS 6. OPERATOR THEORY 7. PHYSICS 8. QUANTUM PHYSICS
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TitleExercises and Problems in Mathematical Methods of Physics
Author(s)Cicogna, Giampaolo
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2018.
DescriptionX, 182 p. 8 illus : online resource
Abstract NoteThis book presents exercises and problems in the mathematical methods of physics with the aim of offering undergraduate students an alternative way to explore and fully understand the mathematical notions on which modern physics is based. The exercises and problems are proposed not in a random order but rather in a sequence that maximizes their educational value. Each section and subsection starts with exercises based on first definitions, followed by groups of problems devoted to intermediate and, subsequently, more elaborate situations. Some of the problems are unavoidably "routine", but others bring to the forenontrivial properties that are often omitted or barely mentioned in textbooks. There are also problems where the reader is guided to obtain important results that are usually stated in textbooks without complete proofs. In all, some 350 solved problems covering all mathematical notions useful to physics are included. While the book is intended primarily for undergraduate students of physics, students of mathematics, chemistry, and engineering, as well as their teachers, will also find it of value.
ISBN,Price9783319761657
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FOURIER ANALYSIS 4. Functions of a Complex Variable 5. FUNCTIONS OF COMPLEX VARIABLES 6. GROUP THEORY 7. Group Theory and Generalizations 8. INTEGRAL TRANSFORMS 9. Integral Transforms, Operational Calculus 10. Mathematical Methods in Physics 11. Operational calculus 12. OPERATOR THEORY 13. PHYSICS
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TitleExercises and Problems in Mathematical Methods of Physics
Author(s)Cicogna, Giampaolo
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2020.
DescriptionXII, 218 p. 9 illus : online resource
Abstract NoteThis book is the second edition, whose original mission was to offer a new approach for students wishing to better understand the mathematical tenets that underlie the study of physics. This mission is retained in this book. The structure of the book is one that keeps pedagogical principles in mind at every level. Not only are the chapters sequenced in such a way as to guide the reader down a clear path that stretches throughout the book, but all individual sections and subsections are also laid out so that the material they address becomes progressively more complex along with the reader's ability to comprehend it. This book not only improves upon the first in many details, but it also fills in some gaps that were left open by this and other books on similar topics. The 350 problems presented here are accompanied by answers which now include a greater amount of detail and additional guidance for arriving at the solutions. In this way, the mathematical underpinnings of the relevant physics topics are made as easy to absorb as possible.
ISBN,Price9783030594725
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FOURIER ANALYSIS 4. Functions of a Complex Variable 5. FUNCTIONS OF COMPLEX VARIABLES 6. GROUP THEORY 7. Group Theory and Generalizations 8. INTEGRAL TRANSFORMS 9. Integral Transforms, Operational Calculus 10. Mathematical Methods in Physics 11. Operational calculus 12. OPERATOR THEORY 13. PHYSICS
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TitleQuantum Measure Theory
Author(s)Hamhalter, J
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2003.
DescriptionVIII, 410 p : online resource
ISBN,Price9789401701198
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FUNCTIONAL ANALYSIS 4. OPERATOR THEORY 5. QUANTUM PHYSICS
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TitleMany-Body Boson Systems : Half a Century Later
Author(s)Verbeure, Andr?? F
PublicationLondon, 1. Imprint: Springer 2. Springer London, 2011.
DescriptionX, 190 p : online resource
Abstract NoteMany-body Boson Systems: Half a Century Later offers a modern way of dealing with the problems of equilibrium states of Bose systems. Starting with the variation principle of statistical mechanics and the energy-entropy balance principle as equilibrium criteria, results for general boson systems and models are explicitly derived using simple functional analytic calculus. Bridging the gap between idea???s of general theoretical physics and the phenomenological research in the field of Bose systems, this book provides an insight into the fascinating quantum world of bosons. Key topics include the occurrence of BEC and its intimate structural relation with the phenomena of spontaneous symmetry breaking and off-diagonal long range order; the condensate equation; the issue concerning the choice of boundary conditions; solvable versus non-solvable boson models; the set of quasi-free boson states; the role of dissipative perturbations; and the surprising but general relation between general quantum fluctuations and boson systems. Only some knowledge of quantum mechanics and undergraduate algebra and analysis is assumed. This textbook brings students and researchers smoothly from general concepts to vivid applications
ISBN,Price9780857291097
Keyword(s)1. Condensed materials 2. EBOOK 3. EBOOK - SPRINGER 4. FUNCTIONAL ANALYSIS 5. Mathematical Methods in Physics 6. MATHEMATICAL PHYSICS 7. OPERATOR THEORY 8. Phase transformations (Statistical physics) 9. PHYSICS 10. Quantum Gases and Condensates 11. QUANTUM PHYSICS 12. Theoretical, Mathematical and Computational Physics
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TitleQuantum Waveguides
Author(s)Exner, Pavel;Kova????k, Hynek
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2015.
DescriptionXXII, 382 p. 9 illus., 3 illus. in color : online resource
Abstract NoteThis monograph explains the theory of quantum waveguides, that is, dynamics of quantum particles confined to regions in the form of tubes, layers, networks, etc. The focus is on relations between the confinement geometry on the one hand and the spectral and scattering properties of the corresponding quantum Hamiltonians on the other. Perturbations of such operators, in particular, by external fields are also considered. The volume provides a unique summary of twenty five years of research activity in this area and indicates ways in which the theory can develop further. The book is fairly self-contained. While it requires some broader mathematical physics background, all the basic concepts are properly explained and proofs of most theorems are given in detail, so there is no need for additional sources. Without a parallel in the literature, the monograph by Exner and Kovarik guides the reader through this new and exciting field
ISBN,Price9783319185767
Keyword(s)1. DIFFERENTIAL EQUATIONS 2. EBOOK 3. EBOOK - SPRINGER 4. Mathematical Methods in Physics 5. MATHEMATICAL PHYSICS 6. OPERATOR THEORY 7. ORDINARY DIFFERENTIAL EQUATIONS 8. PHYSICS 9. QUANTUM PHYSICS 10. Theoretical, Mathematical and Computational Physics
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TitleHilbert Space Operators in Quantum Physics
Author(s)Blank, Jir??;Exner, Pavel;Havl??cek, Miloslav
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2008.
DescriptionXVII, 664 p : online resource
Abstract NoteThe second edition of this course-tested book provides a detailed and in-depth discussion of the foundations of quantum theory as well as its applications to various systems. The exposition is self-contained; in the first part the reader finds the mathematical background in chapters about functional analysis, operators on Hilbert spaces and their spectral theory, as well as operator sets and algebras. This material is used in the second part to a systematic explanation of the foundations, in particular, states and observables, properties of canonical variables, time evolution, symmetries and various axiomatic approaches. In the third part, specific physical systems and situations are discussed. Two chapters analyze Schr??dinger operators and scattering, two others added in the second edition are devoted to new important topics, quantum waveguides and quantum graphs. Some praise for the previous edition: "I really enjoyed reading this work. It is very well written, by three real experts in the field. It stands quite alone...." John R. Taylor, Professor of Physics and Presidential Teaching Scholar, University of Colorado at Boulder
ISBN,Price9781402088704
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Elementary particles (Physics) 4. Elementary Particles, Quantum Field Theory 5. FUNCTIONAL ANALYSIS 6. MATHEMATICAL PHYSICS 7. OPERATOR THEORY 8. QUANTUM FIELD THEORY 9. QUANTUM PHYSICS 10. Theoretical, Mathematical and Computational Physics
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TitleAdvances in the Theory of Fr??chet Spaces
Author(s)Terziogammalu, T
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1989.
DescriptionXVIII, 364 p : online resource
Abstract NoteFrechet spaces have been studied since the days of Banach. These spaces, their inductive limits and their duals played a prominent role in the development of the theory of locally convex spaces. Also they are natural tools in many areas of real and complex analysis. The pioneering work of Grothendieck in the fifties has been one of the important sources of inspiration for research in the theory of Frechet spaces. A structure theory of nuclear Frechet spaces emerged and some important questions posed by Grothendieck were settled in the seventies. In particular, subspaces and quotient spaces of stable nuclear power series spaces were completely characterized. In the last years it has become increasingly clear that the methods used in the structure theory of nuclear Frechet spaces actually provide new insight to linear problems in diverse branches of analysis and lead to solutions of some classical problems. The unifying theme at our Workshop was the recent developments in the theory of the projective limit functor. This is appropriate because of the important role this theory had in the recent research. The main results of the structure theory of nuclear Frechet spaces can be formulated and proved within the framework of this theory. A major area of application of the theory of the projective limit functor is to decide when a linear operator is surjective and, if it is, to determine whether it has a continuous right inverse
ISBN,Price9789400924567
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FUNCTIONS OF COMPLEX VARIABLES 4. OPERATOR THEORY 5. PARTIAL DIFFERENTIAL EQUATIONS 6. Several Complex Variables and Analytic Spaces 7. SPECIAL FUNCTIONS
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9.     
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TitleApproximation Theory, Wavelets and Applications
Author(s)Singh, S.P
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1995.
DescriptionXXIV, 572 p : online resource
Abstract NoteApproximation Theory, Wavelets and Applications draws together the latest developments in the subject, provides directions for future research, and paves the way for collaborative research. The main topics covered include constructive multivariate approximation, theory of splines, spline wavelets, polynomial and trigonometric wavelets, interpolation theory, polynomial and rational approximation. Among the scientific applications were de-noising using wavelets, including the de-noising of speech and images, and signal and digital image processing. In the area of the approximation of functions the main topics include multivariate interpolation, quasi-interpolation, polynomial approximation with weights, knot removal for scattered data, convergence theorems in Pad?? theory, Lyapunov theory in approximation, Neville elimination as applied to shape preserving presentation of curves, interpolating positive linear operators, interpolation from a convex subset of Hilbert space, and interpolation on the triangle and simplex. Wavelet theory is growing extremely rapidly and has applications which will interest readers in the physical, medical, engineering and social sciences
ISBN,Price9789401585774
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. APPROXIMATION THEORY 4. Approximations and Expansions 5. EBOOK 6. EBOOK - SPRINGER 7. FUNCTIONAL ANALYSIS 8. INTEGRAL TRANSFORMS 9. Integral Transforms, Operational Calculus 10. MATHEMATICAL ANALYSIS 11. MATHEMATICS 12. Mathematics, general 13. Operational calculus 14. OPERATOR THEORY
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TitleSpectral Methods in Infinite-Dimensional Analysis
Author(s)Berezansky, Yu.M;Kondratiev, Y.G
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1995.
DescriptionXXVI, 1010 p : online resource
Abstract NoteThe Russian edition of this book appeared 5 years ago. Since that time, many results have been improved upon and new approaches to the problems investigated in the book have appeared. But the greatest surprise for us was to discover that there exists a large group of mathematicians working in the area of the so-called White Noise Analysis which is closely connected with the essential part of our book, namely, with the theory of generalized functions of infinitely many variables. The first papers dealing with White Noise Analysis were written by T. Hida in Japan in 1975. Later, this analysis was devel?? oped intensively in Japan, Germany, U.S.A., Taipei, and in other places. The related problems of infinite-dimensional analysis have been studied in Kiev since 1967, and the theory of generalized functions of infinitely many variables has been in?? vestigated since 1973. However, due to the political system in the U.S.S.R., contact be?? tween Ukrainian and foreign mathematicians was impossible for a long period of time. This is why, to our great regret, only at the end of 1988 did one of the authors meet L. Streit who told him about the existence of White Noise Analysis. And it become clear that many results in these two theories coincide and that, in fact, there exists a single theory and not two distinct ones
ISBN,Price9789401105095
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. FUNCTIONAL ANALYSIS 8. Measure and Integration 9. MEASURE THEORY 10. OPERATOR THEORY 11. QUANTUM FIELD THEORY 12. STATISTICAL PHYSICS 13. Statistical Physics and Dynamical Systems
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