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Quantum Waveguides (Hardcover, 2015 ed.): Pavel Exner, Hynek Kovarik Quantum Waveguides (Hardcover, 2015 ed.)
Pavel Exner, Hynek Kovarik
R4,819 Discovery Miles 48 190 Ships in 12 - 19 working days

This 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.

Rigorous Results In Quantum Dynamics - Proceedings Of The Conference (Hardcover): Jaroslav Dittrich, Pavel Exner Rigorous Results In Quantum Dynamics - Proceedings Of The Conference (Hardcover)
Jaroslav Dittrich, Pavel Exner
R3,251 Discovery Miles 32 510 Ships in 10 - 15 working days

The proceedings of the conference is devoted mainly to the mathematically rigorous approaches to the problems of quantum mechanics. The spectral properties of Schroedinger operators, including those on regions with a boundary and their generalizations, scattering theory and resonances, time-dependent Hamiltonians and quantum chaos, problems of statistical physics like spin systems, and others are discussed.

Mathematical Results in Quantum Mechanics - QMath7 Conference, Prague, June 22-26, 1998 (Hardcover, 1999 ed.): Jaroslav... Mathematical Results in Quantum Mechanics - QMath7 Conference, Prague, June 22-26, 1998 (Hardcover, 1999 ed.)
Jaroslav Dittrich, Pavel Exner, Milos Tater
R3,111 Discovery Miles 31 110 Ships in 10 - 15 working days

This book constitutes the proceedings of the QMath 7 Conference on Mathematical Results in Quantum Mechanics held in Prague, Czech Republic in June, 1998. The volume addresses mathematicians and physicists interested in contemporary quantum physics and associated mathematical questions, presenting new results on Schr dinger and Pauli operators with regular, fractal or random potentials, scattering theory, adiabatic analysis, and interesting new physical systems such as photonic crystals, quantum dots and wires.

Mathematical Results in Quantum Mechanics - International Conference in Blossin (Germany), May 17-21, 1993 (Hardcover,... Mathematical Results in Quantum Mechanics - International Conference in Blossin (Germany), May 17-21, 1993 (Hardcover, illustrated edition)
M. Demuth, Etc, Pavel Exner, Hagen Neidhardt, Valentin Zagrebnov
R2,599 Discovery Miles 25 990 Ships in 12 - 19 working days

This book contains the proceedings of the International Conference on Mathematical Results in Quantum Mechanics held in Blossin, Germany, May 17-21, 1993. Its purpose is to draw attention to the recent developments in quantum mechanics and related mathematical problems. The book is addressed to the wide audience of mathematicians and physicists interested in contemporary quantum physics and associated mathematical problems. The reader will find sections not only on traditional subjects such as SchrAdinger and Dirac operators and generalized SchrAdinger generators, but also on stochastic spectral analysis, many-body problems and statistical physics, chaos, and operator theory and its applications. Contributors: SchrAdinger and Dirac operators: M.Sh. Birman, V. Grecchi, R. Hempel, M. Hoffmann-Ostenhof, Y. Saito, G. Stolz, M. Znojil a Generalized SchrAdinger operators: J.-P. Antoine, J.F. Brasche, P. Duclos, R. Hempel, M. Klein, P. Stovicek a Stochastic spectral analysis: M. Demuth, V.A. Liskevich, E.M. Ouhabaz, P. Stollmann a Many-body problems and statistical physics: M. Fannes, R. Gielerak, M. HA1/4bner, A.M. Khorunzhy, H. Lange, N. Macris, Yu.A. Petrina, K.B. Sinha, A. Verbeure a Chaos: J. Dittrich, P. Seba, K. Zyczkowski a Operator theory and its application: F. Bentosela, V. Buslaev, A.N. Kochubei, A.Yu. Konstantinov, V. Koshmanenko, H. Neidhardt, G. Nenciu, D. Robert

Applications of Self-Adjoint Extensions in Quantum Physics - Proceedings of a Conference Held at the Laboratory of Theoretical... Applications of Self-Adjoint Extensions in Quantum Physics - Proceedings of a Conference Held at the Laboratory of Theoretical Physics, JINR, Dubna, USSR, September 29-October 1, 1987 (Paperback, Softcover reprint of the original 1st ed. 1989)
Pavel Exner, Petr Seba
R1,529 Discovery Miles 15 290 Ships in 10 - 15 working days

The shared purpose in this collection of papers is to apply the theory of self-adjoint extensions of symmetry operators in various areas of physics. This allows the construction of exactly solvable models in quantum mechanics, quantum field theory, high energy physics, solid-state physics, microelectronics and other fields. The 20 papers selected for these proceedings give an overview of this field of research unparallelled in the published literature; in particular the views of the leading schools are clearly presented. The book will be an important source for researchers and graduate students in mathematical physics for many years to come. In these proceedings, researchers and graduate students in mathematical physics will find ways to construct exactly solvable models in quantum mechanics, quantum field theory, high energy physics, solid-state physics, microelectronics and other fields.

Mathematical Results in Quantum Mechanics - QMath7 Conference, Prague, June 22-26, 1998 (Paperback, Softcover reprint of the... Mathematical Results in Quantum Mechanics - QMath7 Conference, Prague, June 22-26, 1998 (Paperback, Softcover reprint of the original 1st ed. 1999)
Jaroslav Dittrich, Pavel Exner, Milos Tater
R2,908 Discovery Miles 29 080 Ships in 10 - 15 working days

This book constitutes the proceedings of the QMath 7 Conference on Mathematical Results in Quantum Mechanics held in Prague, Czech Republic in June, 1998. The volume addresses mathematicians and physicists interested in contemporary quantum physics and associated mathematical questions, presenting new results on Schrodinger and Pauli operators with regular, fractal or random potentials, scattering theory, adiabatic analysis, and interesting new physical systems such as photonic crystals, quantum dots and wires."

Hilbert Space Operators in Quantum Physics (Paperback, Softcover reprint of hardcover 2nd ed. 2008): Jiri Blank, Pavel Exner,... Hilbert Space Operators in Quantum Physics (Paperback, Softcover reprint of hardcover 2nd ed. 2008)
Jiri Blank, Pavel Exner, Miloslav Havlicek
R4,216 Discovery Miles 42 160 Ships in 10 - 15 working days

Almost ?fteen years later, and there is little change in our motivation. Mathem- ical physics of quantum systems remains a lively subject of intrinsic interest with numerous applications, both actual and potential. Intheprefacetothe?rsteditionwehavedescribedtheoriginofthisbookrooted at the beginning in a course of lectures. With this fact in mind, we were naturally pleased to learn that the volume was used as a course text in many points of the world and we gladly accepted the o?er ofSpringer Verlag which inherited the rights from our original publisher, to consider preparation of a second edition. It was our ambition to bring the reader close to the places where real life dwells, and therefore this edition had to be more than a corrected printing. The ?eld is developing rapidly and since the ?rst edition various new subjects have appeared; as a couple of examples let us mention quantum computing or the major progress in theinvestigationofrandomSchr] odingeroperators.Thereare, however, goodsources intheliteraturewherethereadercanlearnabouttheseandothernewdevelopments.

Hilbert Space Operators in Quantum Physics (Hardcover, 2nd ed. 2008): Jiri Blank, Pavel Exner, Miloslav Havlicek Hilbert Space Operators in Quantum Physics (Hardcover, 2nd ed. 2008)
Jiri Blank, Pavel Exner, Miloslav Havlicek
R3,356 R3,188 Discovery Miles 31 880 Save R168 (5%) Ships in 9 - 17 working days

Almost ?fteen years later, and there is little change in our motivation. Mathem- ical physics of quantum systems remains a lively subject of intrinsic interest with numerous applications, both actual and potential. Intheprefacetothe?rsteditionwehavedescribedtheoriginofthisbookrooted at the beginning in a course of lectures. With this fact in mind, we were naturally pleased to learn that the volume was used as a course text in many points of the world and we gladly accepted the o?er ofSpringer Verlag which inherited the rights from our original publisher, to consider preparation of a second edition. It was our ambition to bring the reader close to the places where real life dwells, and therefore this edition had to be more than a corrected printing. The ?eld is developing rapidly and since the ?rst edition various new subjects have appeared; as a couple of examples let us mention quantum computing or the major progress in theinvestigationofrandomSchr] odingeroperators.Thereare, however, goodsources intheliteraturewherethereadercanlearnabouttheseandothernewdevelopments.

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