Mathematical Results In Quantum Mechanics

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Mathematical Results in Quantum Mechanics

Radu Purice
Mathematical Results in Quantum Mechanics Book PDF

Author : Radu Purice
Publisher : World Scientific
Page : 312 pages
File Size : 46,5 Mb
Release : 2008
Category : Mathematics
ISBN : 9789812832382

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Mathematical Results in Quantum Mechanics by Radu Purice Pdf

The 10th Quantum Mathematics International Conference (Qmath10) gave an opportunity to bring together specialists interested in that part of mathematical physics which is in close connection with various aspects of quantum theory. It was also meant to introduce young scientists and new tendencies in the field.This collection of carefully selected papers aims to reflect recent techniques and results on SchrAdinger operators with magnetic fields, random SchrAdinger operators, condensed matter and open systems, pseudo-differential operators and semiclassical analysis, quantum field theory and relativistic quantum mechanics, quantum information, and much more. The book serves as a concise and well-documented tool for the more experimented scientists, as well as a research guide for postgraduate students.

Mathematical Results in Quantum Mechanics

Pavel Exner,Wolfgang König,Hagen Neidhardt
Mathematical Results in Quantum Mechanics Book PDF

Author : Pavel Exner,Wolfgang König,Hagen Neidhardt
Publisher : World Scientific
Page : 396 pages
File Size : 55,7 Mb
Release : 2014-11-13
Category : Mathematics
ISBN : 9789814618151

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Mathematical Results in Quantum Mechanics by Pavel Exner,Wolfgang König,Hagen Neidhardt Pdf

The book provides a comprehensive overview on the state of the art of the quantum part of mathematical physics. In particular, it contains contributions to the spectral theory of Schrödinger and random operators, quantum field theory, relativistic quantum mechanics and interacting many-body systems. It also presents an overview on the achievements in mathematical physics since the last conference QMath11 held at Hradec Kralove, Czechia in 2010. Contents:Plenary Talks:A Bound for the Eigenvalue Counting Function for Higher-Order Krein Laplacians on Open Sets (F Gesztesy, M Mitrea, S Sukhtaiev and A Laptev)Trace Formulae for the Asymptotic Density of Eigenvalue Clusters for the Perturbed Landau Hamiltonian (T Lungenstrass and G D Raikov)On Long Range Behaviour of van der Waals Force (I Anapolitanos and I M Sigal)Quantum Spin Correlations and Random Loops (D Ueltschi)Equidistribution Estimates for Eigenfunctions and Eigenvalue Bounds for Random Operators (D Borisov, M Tautenhahn and I Veselić)Invited Section Talks:Vector Quantum Fields (J Dereziński)On the BCS Gap Equation for Superfluid Fermionic Gases (G Bräunlich, C Hainzl and R Seiringer)Improved Hardy Inequality in Twisted Tubes (H Kovařík)Microscopic Foundations of Ohm and Joule's Laws — The Relevance of Thermodynamics (J-B Bru and W de Siqueira Pedra)The Quantum Marginal Problem (C Schilling)Hartree-Fock Dynamics for Weakly Interacting Fermions (N Benedikter, M Porta and B Schlein)Contributed Talks:On the Ground State Energy of the Multipolaron in the Strong Coupling Limit (I Anapolitanos and B Landon)A Variation on Smilansky's Model (D Barseghyan and P Exner)Deriving the Gross-Pitaevskii Equation (N Benedikter)Boundary Triplets Approach for Dirac Operator (A A Boitsev)Bose-Einstein Condensation on Quantum Graphs (J Bolte and J Kerner)Description of Quantum and Classical Dynamics via Feynman Formulae (Ya A Butko)Asymptotic Observables, Propagation Estimates and the Problem of Asymptotic Completeness in Algebraic QFT (W Dybalski)Recent Probabilistic Results on Covariant Schrödinger Operators on Infinite Weighted Graphs (B Güneysu and O Milatovic)Resolvent Expansion for the Discrete One-Dimensional Schrödinger Operator (K Ito and A Jensen)Spectral Asymptotics for a δ′ Interaction Supported by an Infinite Curve (M Jex)Asymptotically Predefined Spectral Gaps for the Neumann Laplacian in Periodic Domains (A Khrabustovskyi)Graph Model for the Stokes Flow (M O Kovaleva and I Yu Popov)Point Contacts and Boundary Triples (V Lotoreichik, H Neidhardt and I Yu Popov)Trace Formulas for Singular and Additive Non-Selfadjoint Perturbations (M M Malamud and H Neidhardt)On δ′-Couplings at Graph Vertices (S S Manko)Stochastic Calculus and Non-Relativistic QED (B Güneysu, O Matte and J S Møller)Estimates for Numbers of Negative Eigenvalues of Laplacian for Y-Type Chain of Weakly Coupled Ball Resonators (A S Melikhova)On Thermodynamical Couplings of Quantum Mechanics and Macroscopic Systems (A Mielke)Almost Sure Purely Singular Continuous Spectrum for Quasicrystal Models (C Seifert)Adiabatic Theorems With and Without Spectral Gap Condition for Non-Semisimple Spectral Values (J Schmid)An Eigenvalue Counting Theorem with Applications to Random Schrödinger Operators (D Schmidt)System of Fermions with Zero-Range Interactions (A Teta) Readership: Graduate students, professionals and researchers in mathematical physics, quantum mechanics and field theory, quantum information, quantum chaos and physics of social systems. Key Features:Collection of state-of-the-art papers in mathematical physicsProminent contributorsShows the actual research topics in mathematical physicsKeywords:Schrödinger Operator;Spectral Theory;Random Operators;Quantum Field Theory;Relativistic Quantum Mechanics;Interacting Many-Body Systems

Mathematical Results In Quantum Mechanics - Proceedings Of The Qmath10 Conference

Radu Purice,Ingrid Beltita,Gheorghe Nenciu
Mathematical Results In Quantum Mechanics Proceedings Of The Qmath10 Conference Book PDF

Author : Radu Purice,Ingrid Beltita,Gheorghe Nenciu
Publisher : World Scientific
Page : 312 pages
File Size : 40,9 Mb
Release : 2008-08-11
Category : Science
ISBN : 9789814470544

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Mathematical Results In Quantum Mechanics - Proceedings Of The Qmath10 Conference by Radu Purice,Ingrid Beltita,Gheorghe Nenciu Pdf

The 10th Quantum Mathematics International Conference (Qmath10) gave an opportunity to bring together specialists interested in that part of mathematical physics which is in close connection with various aspects of quantum theory. It was also meant to introduce young scientists and new tendencies in the field.This collection of carefully selected papers aims to reflect recent techniques and results on Schrödinger operators with magnetic fields, random Schrödinger operators, condensed matter and open systems, pseudo-differential operators and semiclassical analysis, quantum field theory and relativistic quantum mechanics, quantum information, and much more. The book serves as a concise and well-documented tool for the more experimented scientists, as well as a research guide for postgraduate students.

Mathematical Results in Quantum Mechanics

M. Demuth,P. Exner,H. Neidhardt,V. Zagrebnov
Mathematical Results in Quantum Mechanics Book PDF

Author : M. Demuth,P. Exner,H. Neidhardt,V. Zagrebnov
Publisher : Birkhäuser
Page : 346 pages
File Size : 45,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783034885454

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Mathematical Results in Quantum Mechanics by M. Demuth,P. Exner,H. Neidhardt,V. Zagrebnov Pdf

The last decades have demonstrated that quantum mechanics is an inexhaustible source of inspiration for contemporary mathematical physics. Of course, it seems to be hardly surprising if one casts a glance toward the history of the subject; recall the pioneering works of von Neumann, Weyl, Kato and their followers which pushed forward some of the classical mathematical disciplines: functional analysis, differential equations, group theory, etc. On the other hand, the evident powerful feedback changed the face of the "naive" quantum physics. It created a contem porary quantum mechanics, the mathematical problems of which now constitute the backbone of mathematical physics. The mathematical and physical aspects of these problems cannot be separated, even if one may not share the opinion of Hilbert who rigorously denied differences between pure and applied mathemat ics, and the fruitful oscilllation between the two creates a powerful stimulus for development of mathematical physics. The International Conference on Mathematical Results in Quantum Mechan ics, held in Blossin (near Berlin), May 17-21, 1993, was the fifth in the series of meetings started in Dubna (in the former USSR) in 1987, which were dedicated to mathematical problems of quantum mechanics. A primary motivation of any meeting is certainly to facilitate an exchange of ideas, but there also other goals. The first meeting and those that followed (Dubna, 1988; Dubna, 1989; Liblice (in the Czech Republic), 1990) were aimed, in particular, at paving ways to East-West contacts.

Mathematical Results in Quantum Mechanics

Jaroslav Dittrich,Pavel Exner,Milos Tater
Mathematical Results in Quantum Mechanics Book PDF

Author : Jaroslav Dittrich,Pavel Exner,Milos Tater
Publisher : Birkhäuser
Page : 387 pages
File Size : 43,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783034887458

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Mathematical Results in Quantum Mechanics by Jaroslav Dittrich,Pavel Exner,Milos Tater Pdf

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.

Mathematical Results in Quantum Physics

Pavel Exner
Mathematical Results in Quantum Physics Book PDF

Author : Pavel Exner
Publisher : World Scientific
Page : 288 pages
File Size : 44,7 Mb
Release : 2011-05-26
Category : Science
ISBN : 9789814460460

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Mathematical Results in Quantum Physics by Pavel Exner Pdf

The volume collects papers from talks given at QMath11 — Mathematical Results in Quantum Physics, which was held in Hradec Králové, September 2010. These papers bring new and interesting results in quantum mechanics and information, quantum field theory, random systems, quantum chaos, as well as in the physics of social systems. Part of the contribution is dedicated to Ari Laptev on the occasion of his 60th birthday, in recognition of his mathematical results and his service to the community. The QMath conference series has played an important role in mathematical physics for more than two decades, typically attracting many of the best results achieved in the last three-year period, and the meeting in Hradec Králové was no exception. Contents:Relative Entropies and Entanglement Monotones (Nilanjana Datta)Interacting Electrons on the Honeycomb Lattice (Alessandro Giuliani)Convergence Results for Thick Graphs (Olaf Post)Spectral Properties of Wigner Matrices (Benjamin Schlein)Semiclassical Spectral Bounds and Beyond (Timo Weidl)Spectral Problems in Spaces of Constant Curvature (Rafael D Benguria)Localization in Random Displacement Model (Michael Loss & Günther Stolz)Diffusion in Hamiltonian Quantum Systems (Wojciech De Roeck)Quantized Open Chaotic Systems (Stéphen Nonnenmacher)Reliability Issues in the Microscopic Modeling of Pedestrian Movement (Bernhard Steffen, Armin Seyfried & Maik Boltes)and other papers Readership: Graduate students, professionals and researchers in mathematical physics, quantum mechanics and field theory, quantum information, quantum chaos and physics of social systems. Keywords:Quantum Physics;Quantum Mechanics;Quantum Field Theory;Quantum Chaos;Quantum Information;Sociophysics

Mathematical Results in Quantum Mechanics

Georgina M Dopico Black,Ricardo Weder,Pavel Exner,Benoit Grébert
Mathematical Results in Quantum Mechanics Book PDF

Author : Georgina M Dopico Black,Ricardo Weder,Pavel Exner,Benoit Grébert
Publisher : American Mathematical Soc.
Page : 350 pages
File Size : 55,9 Mb
Release : 2002
Category : Science
ISBN : 9780821829004

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Mathematical Results in Quantum Mechanics by Georgina M Dopico Black,Ricardo Weder,Pavel Exner,Benoit Grébert Pdf

This work contains contributions presented at the conference, QMath-8: Mathematical Results in Quantum Mechanics'', held at Universidad Nacional Autonoma de Mexico in December 2001. The articles cover a wide range of mathematical problems and focus on various aspects of quantum mechanics, quantum field theory and nuclear physics. Topics vary from spectral properties of the Schrodinger equation of various quantum systems to the analysis of quantum computation algorithms. The book should be suitable for graduate students and research mathematicians interested in the mathematical aspects of quantum mechanics.

Quantum Mechanics for Mathematicians

Leon Armenovich Takhtadzhi͡an
Quantum Mechanics for Mathematicians Book PDF

Author : Leon Armenovich Takhtadzhi͡an
Publisher : American Mathematical Soc.
Page : 410 pages
File Size : 55,6 Mb
Release : 2008
Category : Mathematical physics
ISBN : 9780821846308

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Quantum Mechanics for Mathematicians by Leon Armenovich Takhtadzhi͡an Pdf

Presents a comprehensive treatment of quantum mechanics from a mathematics perspective. Including traditional topics, like classical mechanics, mathematical foundations of quantum mechanics, quantization, and the Schrodinger equation, this book gives a mathematical treatment of systems of identical particles with spin.

Mathematical Methods in Quantum Mechanics

Gerald Teschl
Mathematical Methods in Quantum Mechanics Book PDF

Author : Gerald Teschl
Publisher : American Mathematical Soc.
Page : 322 pages
File Size : 50,6 Mb
Release : 2009
Category : Quantum theory
ISBN : 9780821846605

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Mathematical Methods in Quantum Mechanics by Gerald Teschl Pdf

Quantum mechanics and the theory of operators on Hilbert space have been deeply linked since their beginnings in the early twentieth century. States of a quantum system correspond to certain elements of the configuration space and observables correspond to certain operators on the space. This book is a brief, but self-contained, introduction to the mathematical methods of quantum mechanics, with a view towards applications to Schrodinger operators. Part 1 of the book is a concise introduction to the spectral theory of unbounded operators. Only those topics that will be needed for later applications are covered. The spectral theorem is a central topic in this approach and is introduced at an early stage. Part 2 starts with the free Schrodinger equation and computes the free resolvent and time evolution. Position, momentum, and angular momentum are discussed via algebraic methods. Various mathematical methods are developed, which are then used to compute the spectrum of the hydrogen atom. Further topics include the nondegeneracy of the ground state, spectra of atoms, and scattering theory. This book serves as a self-contained introduction to spectral theory of unbounded operators in Hilbert space with full proofs and minimal prerequisites: Only a solid knowledge of advanced calculus and a one-semester introduction to complex analysis are required. In particular, no functional analysis and no Lebesgue integration theory are assumed. It develops the mathematical tools necessary to prove some key results in nonrelativistic quantum mechanics. Mathematical Methods in Quantum Mechanics is intended for beginning graduate students in both mathematics and physics and provides a solid foundation for reading more advanced books and current research literature. It is well suited for self-study and includes numerous exercises (many with hints).

Quantum Mathematical Physics

Walter Thirring
Quantum Mathematical Physics Book PDF

Author : Walter Thirring
Publisher : Springer Science & Business Media
Page : 612 pages
File Size : 52,6 Mb
Release : 2002
Category : Computers
ISBN : 3540430784

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Quantum Mathematical Physics by Walter Thirring Pdf

This book is a new edition of Volumes 3 and 4 of Walter Thirring's famous textbook on mathematical physics. The first part is devoted to quantum mechanics and especially to its applications to scattering theory, atoms and molecules. The second part deals with quantum statistical mechanics examining fundamental concepts like entropy, ergodicity and thermodynamic functions. The author builds on an axiomatic basis and uses tools from functional analysis: bounded and unbounded operators on Hilbert space, operator algebras etc. Mathematics is shown to explain the axioms in depth and to provide the right tool for testing numerical data in experiments.

Quantum Theory and Symmetries

M. B. Paranjape,Richard MacKenzie,Zora Thomova,Pavel Winternitz,William Witczak-Krempa
Quantum Theory and Symmetries Book PDF

Author : M. B. Paranjape,Richard MacKenzie,Zora Thomova,Pavel Winternitz,William Witczak-Krempa
Publisher : Springer Nature
Page : 670 pages
File Size : 40,8 Mb
Release : 2021
Category : Electronic books
ISBN : 9783030557775

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Quantum Theory and Symmetries by M. B. Paranjape,Richard MacKenzie,Zora Thomova,Pavel Winternitz,William Witczak-Krempa Pdf

This volume of the CRM Conference Series is based on a carefully refereed selection of contributions presented at the "11th International Symposium on Quantum Theory and Symmetries", held in Montreal, Canada from July 1-5, 2019. The main objective of the meeting was to share and make accessible new research and recent results in several branches of Theoretical and Mathematical Physics, including Algebraic Methods, Condensed Matter Physics, Cosmology and Gravitation, Integrability, Non-perturbative Quantum Field Theory, Particle Physics, Quantum Computing and Quantum Information Theory, and String/ADS-CFT. There was also a special session in honour of Decio Levi. The volume is divided into sections corresponding to the sessions held during the symposium, allowing the reader to appreciate both the homogeneity and the diversity of mathematical tools that have been applied in these subject areas. Several of the plenary speakers, who are internationally recognized experts in their fields, have contributed reviews of the main topics to complement the original contributions. .

Mathematical Results in Quantum Mechanics

Pavel Exner,Wolfgang König,Hagen Neidhardt
Mathematical Results in Quantum Mechanics Book PDF

Author : Pavel Exner,Wolfgang König,Hagen Neidhardt
Publisher : World Scientific Publishing Company Incorporated
Page : 383 pages
File Size : 43,6 Mb
Release : 2014-11-13
Category : Mathematics
ISBN : 9814618136

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Mathematical Results in Quantum Mechanics by Pavel Exner,Wolfgang König,Hagen Neidhardt Pdf

The book provides a comprehensive overview on the state of the art of the quantum part of mathematical physics. In particular, it contains contributions to the spectral theory of Schrödinger and random operators, quantum field theory, relativistic quantum mechanics and interacting many-body systems.It also presents an overview on the achievements in mathematical physics since the last conference QMath11 held at Hradec Kralove, Czechia in 2010.

Progress and Visions in Quantum Theory in View of Gravity

Felix Finster,Domenico Giulini,Johannes Kleiner,Jürgen Tolksdorf
Progress and Visions in Quantum Theory in View of Gravity Book PDF

Author : Felix Finster,Domenico Giulini,Johannes Kleiner,Jürgen Tolksdorf
Publisher : Springer Nature
Page : 302 pages
File Size : 50,8 Mb
Release : 2020-04-09
Category : Science
ISBN : 9783030389413

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Progress and Visions in Quantum Theory in View of Gravity by Felix Finster,Domenico Giulini,Johannes Kleiner,Jürgen Tolksdorf Pdf

This book focuses on a critical discussion of the status and prospects of current approaches in quantum mechanics and quantum field theory, in particular concerning gravity. It contains a carefully selected cross-section of lectures and discussions at the seventh conference “Progress and Visions in Quantum Theory in View of Gravity” which took place in fall 2018 at the Max Planck Institute for Mathematics in the Sciences in Leipzig. In contrast to usual proceeding volumes, instead of reporting on the most recent technical results, contributors were asked to discuss visions and new ideas in foundational physics, in particular concerning foundations of quantum field theory. A special focus has been put on the question of which physical principles of quantum (field) theory can be considered fundamental in view of gravity. The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area.

Lectures on Quantum Mechanics for Mathematics Students

L. D. Faddeev,Oleg Aleksandrovich I︠A︡kubovskiĭ
Lectures on Quantum Mechanics for Mathematics Students Book PDF

Author : L. D. Faddeev,Oleg Aleksandrovich I︠A︡kubovskiĭ
Publisher : American Mathematical Soc.
Page : 250 pages
File Size : 55,6 Mb
Release : 2009
Category : Quantum theory
ISBN : 9780821846995

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Lectures on Quantum Mechanics for Mathematics Students by L. D. Faddeev,Oleg Aleksandrovich I︠A︡kubovskiĭ Pdf

Describes the relation between classical and quantum mechanics. This book contains a discussion of problems related to group representation theory and to scattering theory. It intends to give a mathematically oriented student the opportunity to grasp the main points of quantum theory in a mathematical framework.

Mathematical Problems in Quantum Physics

Federico Bonetto,David Borthwick,Evans Harrell,Michael Loss
Mathematical Problems in Quantum Physics Book PDF

Author : Federico Bonetto,David Borthwick,Evans Harrell,Michael Loss
Publisher : American Mathematical Soc.
Page : 338 pages
File Size : 48,9 Mb
Release : 2018-10-24
Category : Mathematical physics
ISBN : 9781470436810

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Mathematical Problems in Quantum Physics by Federico Bonetto,David Borthwick,Evans Harrell,Michael Loss Pdf

This volume contains the proceedings of the QMATH13: Mathematical Results in Quantum Physics conference, held from October 8–11, 2016, at the Georgia Institute of Technology, Atlanta, Georgia. In recent years, a number of new frontiers have opened in mathematical physics, such as many-body localization and Schrödinger operators on graphs. There has been progress in developing mathematical techniques as well, notably in renormalization group methods and the use of Lieb–Robinson bounds in various quantum models. The aim of this volume is to provide an overview of some of these developments. Topics include random Schrödinger operators, many-body fermionic systems, atomic systems, effective equations, and applications to quantum field theory. A number of articles are devoted to the very active area of Schrödinger operators on graphs and general spectral theory of Schrödinger operators. Some of the articles are expository and can be read by an advanced graduate student.