Contact Interactions in Quantum Mechanics: Theory, Mathematical Aspects and Applications

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Publisher : Frontiers Media SA
ISBN 13 : 2889665925
Total Pages : 182 pages
Book Rating : 4.8/5 (896 download)

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Book Synopsis Contact Interactions in Quantum Mechanics: Theory, Mathematical Aspects and Applications by : Manuel Gadella

Download or read book Contact Interactions in Quantum Mechanics: Theory, Mathematical Aspects and Applications written by Manuel Gadella and published by Frontiers Media SA. This book was released on 2021-03-12 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Results in Quantum Mechanics

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Publisher : Birkhäuser
ISBN 13 : 3034887450
Total Pages : 387 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Mathematical Results in Quantum Mechanics by : Jaroslav Dittrich

Download or read book Mathematical Results in Quantum Mechanics written by Jaroslav Dittrich and published by Birkhäuser. This book was released on 2012-12-06 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Schrödinger 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.

Mathematics of Classical and Quantum Physics

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Publisher : Courier Corporation
ISBN 13 : 0486135063
Total Pages : 674 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Mathematics of Classical and Quantum Physics by : Frederick W. Byron

Download or read book Mathematics of Classical and Quantum Physics written by Frederick W. Byron and published by Courier Corporation. This book was released on 2012-04-26 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.

Self-Adjoint Extension Schemes and Modern Applications to Quantum Hamiltonians

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Publisher : Springer Nature
ISBN 13 : 303110885X
Total Pages : 557 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Self-Adjoint Extension Schemes and Modern Applications to Quantum Hamiltonians by : Matteo Gallone

Download or read book Self-Adjoint Extension Schemes and Modern Applications to Quantum Hamiltonians written by Matteo Gallone and published by Springer Nature. This book was released on 2023-04-04 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces and discusses the self-adjoint extension problem for symmetric operators on Hilbert space. It presents the classical von Neumann and Krein–Vishik–Birman extension schemes both in their modern form and from a historical perspective, and provides a detailed analysis of a range of applications beyond the standard pedagogical examples (the latter are indexed in a final appendix for the reader’s convenience). Self-adjointness of operators on Hilbert space representing quantum observables, in particular quantum Hamiltonians, is required to ensure real-valued energy levels, unitary evolution and, more generally, a self-consistent theory. Physical heuristics often produce candidate Hamiltonians that are only symmetric: their extension to suitably larger domains of self-adjointness, when possible, amounts to declaring additional physical states the operator must act on in order to have a consistent physics, and distinct self-adjoint extensions describe different physics. Realising observables self-adjointly is the first fundamental problem of quantum-mechanical modelling. The discussed applications concern models of topical relevance in modern mathematical physics currently receiving new or renewed interest, in particular from the point of view of classifying self-adjoint realisations of certain Hamiltonians and studying their spectral and scattering properties. The analysis also addresses intermediate technical questions such as characterising the corresponding operator closures and adjoints. Applications include hydrogenoid Hamiltonians, Dirac–Coulomb Hamiltonians, models of geometric quantum confinement and transmission on degenerate Riemannian manifolds of Grushin type, and models of few-body quantum particles with zero-range interaction. Graduate students and non-expert readers will benefit from a preliminary mathematical chapter collecting all the necessary pre-requisites on symmetric and self-adjoint operators on Hilbert space (including the spectral theorem), and from a further appendix presenting the emergence from physical principles of the requirement of self-adjointness for observables in quantum mechanics.

Non-perturbative Quantum Field Theory: Mathematical Aspects And Applications

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Publisher : World Scientific
ISBN 13 : 9814506567
Total Pages : 855 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Non-perturbative Quantum Field Theory: Mathematical Aspects And Applications by : Jurg Frohlich

Download or read book Non-perturbative Quantum Field Theory: Mathematical Aspects And Applications written by Jurg Frohlich and published by World Scientific. This book was released on 1992-04-29 with total page 855 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.

A Mathematical Primer on Quantum Mechanics

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Publisher : Springer
ISBN 13 : 3319778935
Total Pages : 265 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis A Mathematical Primer on Quantum Mechanics by : Alessandro Teta

Download or read book A Mathematical Primer on Quantum Mechanics written by Alessandro Teta and published by Springer. This book was released on 2018-04-17 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a rigorous yet elementary approach to quantum mechanics that will meet the needs of Master’s-level Mathematics students and is equally suitable for Physics students who are interested in gaining a deeper understanding of the mathematical structure of the theory. Throughout the coverage, which is limited to single-particle quantum mechanics, the focus is on formulating theory and developing applications in a mathematically precise manner. Following a review of selected key concepts in classical physics and the historical background, the basic elements of the theory of operators in Hilbert spaces are presented and used to formulate the rules of quantum mechanics. The discussion then turns to free particles, harmonic oscillators, delta potential, and hydrogen atoms, providing rigorous proofs of the corresponding dynamical properties. Starting from an analysis of these applications, readers are subsequently introduced to more advanced topics such as the classical limit, scattering theory, and spectral analysis of Schrödinger operators. The main content is complemented by numerous exercises that stimulate interactive learning and help readers check their progress.

Air Force Research Resumés

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Publisher :
ISBN 13 :
Total Pages : 854 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Air Force Research Resumés by :

Download or read book Air Force Research Resumés written by and published by . This book was released on with total page 854 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nuclear Science Abstracts

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Publisher :
ISBN 13 :
Total Pages : 958 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Nuclear Science Abstracts by :

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1975-08 with total page 958 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Aspects of Fluid Mechanics

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Publisher : Cambridge University Press
ISBN 13 : 1139577212
Total Pages : 275 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Mathematical Aspects of Fluid Mechanics by : James C. Robinson

Download or read book Mathematical Aspects of Fluid Mechanics written by James C. Robinson and published by Cambridge University Press. This book was released on 2012-10-18 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: The rigorous mathematical theory of the equations of fluid dynamics has been a focus of intense activity in recent years. This volume is the product of a workshop held at the University of Warwick to consolidate, survey and further advance the subject. The Navier–Stokes equations feature prominently: the reader will find new results concerning feedback stabilisation, stretching and folding, and decay in norm of solutions to these fundamental equations of fluid motion. Other topics covered include new models for turbulent energy cascade, existence and uniqueness results for complex fluids and certain interesting solutions of the SQG equation. The result is an accessible collection of survey articles and more traditional research papers that will serve both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.

Quantum Field Theory for Mathematicians

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Publisher : Cambridge University Press
ISBN 13 : 052163265X
Total Pages : 720 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis Quantum Field Theory for Mathematicians by : Robin Ticciati

Download or read book Quantum Field Theory for Mathematicians written by Robin Ticciati and published by Cambridge University Press. This book was released on 1999-06-13 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: This should be a useful reference for anybody with an interest in quantum theory.

SCIENTIFIC ELEMENTS (International Book Series), Vol. I, Applications of Smarandache's Notions to Mathematics, Physics, and Other Sciences

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Publisher : Infinite Study
ISBN 13 : 1599730413
Total Pages : 202 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis SCIENTIFIC ELEMENTS (International Book Series), Vol. I, Applications of Smarandache's Notions to Mathematics, Physics, and Other Sciences by : editors:Yuhua Fu, Linfan Mao, and Mihaly Bencze

Download or read book SCIENTIFIC ELEMENTS (International Book Series), Vol. I, Applications of Smarandache's Notions to Mathematics, Physics, and Other Sciences written by editors:Yuhua Fu, Linfan Mao, and Mihaly Bencze and published by Infinite Study. This book was released on 2007 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Scientific Elements is an international book series, maybe with different subtitles. This series is devoted to the applications of Smarandache?s notions and to mathematical combinatorics. These are two heartening mathematical theories for sciences and can be applied to many fields. This book selects 12 papers for showing applications of Smarandache's notions, such as those of Smarandache multi-spaces, Smarandache geometries, Neutrosophy, etc. to classical mathematics, theoretical and experimental physics, logic, cosmology. Looking at these elementary applications, we can experience their great potential for developing sciences. 12 authors contributed to this volume: Linfan Mao, Yuhua Fu, Shenglin Cao, Jingsong Feng, Changwei Hu, Zhengda Luo, Hao Ji, Xinwei Huang, Yiying Guan, Tianyu Guan, Shuan Chen, and Yan Zhang.

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 1452 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1968 with total page 1452 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Principles and Applications of Quantum Chemistry

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Publisher : Academic Press
ISBN 13 : 0128035013
Total Pages : 480 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Principles and Applications of Quantum Chemistry by : V.P. Gupta

Download or read book Principles and Applications of Quantum Chemistry written by V.P. Gupta and published by Academic Press. This book was released on 2015-10-15 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles and Applications of Quantum Chemistry offers clear and simple coverage based on the author's extensive teaching at advanced universities around the globe. Where needed, derivations are detailed in an easy-to-follow manner so that you will understand the physical and mathematical aspects of quantum chemistry and molecular electronic structure. Building on this foundation, this book then explores applications, using illustrative examples to demonstrate the use of quantum chemical tools in research problems. Each chapter also uses innovative problems and bibliographic references to guide you, and throughout the book chapters cover important advances in the field including: Density functional theory (DFT) and time-dependent DFT (TD-DFT), characterization of chemical reactions, prediction of molecular geometry, molecular electrostatic potential, and quantum theory of atoms in molecules. - Simplified mathematical content and derivations for reader understanding - Useful overview of advances in the field such as Density Functional Theory (DFT) and Time-Dependent DFT (TD-DFT) - Accessible level for students and researchers interested in the use of quantum chemistry tools

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1852 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1852 pages. Available in PDF, EPUB and Kindle. Book excerpt:

What Is a Quantum Field Theory?

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Publisher : Cambridge University Press
ISBN 13 : 1316510271
Total Pages : 759 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis What Is a Quantum Field Theory? by : Michel Talagrand

Download or read book What Is a Quantum Field Theory? written by Michel Talagrand and published by Cambridge University Press. This book was released on 2022-03-17 with total page 759 pages. Available in PDF, EPUB and Kindle. Book excerpt: A lively and erudite introduction for readers with a background in undergraduate mathematics but no previous knowledge of physics.

Symmetry in Physics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821834096
Total Pages : 256 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Symmetry in Physics by : Robert T. Sharp

Download or read book Symmetry in Physics written by Robert T. Sharp and published by American Mathematical Soc.. This book was released on 2004 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers in this volume are based on the Workshop on Symmetries in Physics held at the Centre de recherches mathematiques (University of Montreal) in memory of Robert T. Sharp. Contributed articles are on a variety of topics revolving around the theme of symmetry in physics. The preface presents a biographical and scientific retrospect of the life and work of Robert Sharp. Other articles in the volume represent his diverse range of interests, including representation theoretic methods for Lie algebras, quantization techniques and foundational considerations, modular group invariants and applications to conformal models, various physical models and equations, geometric calculations with symmetries, and pedagogical methods for developing spatio-temporal intuition. The book is suitable for graduate students and researchers interested in group theoretic methods, symmetries, and mathematical physics.

The Physics of Quantum Mechanics

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Publisher : Oxford University Press, USA
ISBN 13 : 0199688575
Total Pages : 408 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis The Physics of Quantum Mechanics by : James Binney

Download or read book The Physics of Quantum Mechanics written by James Binney and published by Oxford University Press, USA. This book was released on 2013-12 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title gives students a good understanding of how quantum mechanics describes the material world. The text stresses the continuity between the quantum world and the classical world, which is merely an approximation to the quantum world.