The Mathematics Of The Bose Gas And Its Condensation

Author : Elliott H. Lieb,Robert Seiringer,Jan Philip Solovej,Jakob Yngvason
Publisher : Springer Science & Business Media
Page : 204 pages
File Size : 52,8 Mb
Release : 2006-01-17
Category : Science
ISBN : 9783764373375

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The Mathematics of the Bose Gas and its Condensation by Elliott H. Lieb,Robert Seiringer,Jan Philip Solovej,Jakob Yngvason Pdf

This book contains a unique survey of the mathematically rigorous results about the quantum-mechanical many-body problem that have been obtained by the authors in the past seven years. It addresses a topic that is not only rich mathematically, using a large variety of techniques in mathematical analysis, but is also one with strong ties to current experiments on ultra-cold Bose gases and Bose-Einstein condensation. The book provides a pedagogical entry into an active area of ongoing research for both graduate students and researchers. It is an outgrowth of a course given by the authors for graduate students and post-doctoral researchers at the Oberwolfach Research Institute in 2004. The book also provides a coherent summary of the field and a reference for mathematicians and physicists active in research on quantum mechanics.

Author : Elliott H. Lieb
Publisher : Birkhauser
Page : 203 pages
File Size : 44,7 Mb
Release : 2005
Category : Bose-Einstein condensation
ISBN : 0817673369

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The Mathematics of the Bose Gas and Its Condensation by Elliott H. Lieb Pdf

Author : Lev. P. Pitaevskii,S. Stringari
Publisher : Oxford University Press
Page : 392 pages
File Size : 54,5 Mb
Release : 2003-04-03
Category : Science
ISBN : 0198507194

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Bose-Einstein Condensation by Lev. P. Pitaevskii,S. Stringari Pdf

Bose-Einstein Condensation represents a new state of matter and is one of the cornerstones of quantum physics, resulting in the 2001 Nobel Prize. Providing a useful introduction to one of the most exciting field of physics today, this text will be of interest to a growing community of physicists, and is easily accessible to non-specialists alike.

Author : Christopher Pethick,Henrik Smith
Publisher : Unknown
Page : 584 pages
File Size : 53,8 Mb
Release : 2014-05-14
Category : SCIENCE
ISBN : 1139811789

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Bose-Einstein Condensation in Dilute Gases by Christopher Pethick,Henrik Smith Pdf

Introduction to ultracold atomic Bose and Fermi gases for advanced undergraduates, graduates, experimentalists and theorists.

Author : Michele Correggi,Marco Falconi
Publisher : Springer Nature
Page : 371 pages
File Size : 43,9 Mb
Release : 2024-01-09
Category : Science
ISBN : 9789819958849

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Quantum Mathematics II by Michele Correggi,Marco Falconi Pdf

This book is the second volume that provides an unique overview of the most recent and relevant contributions in the field of mathematical physics with a focus on the mathematical features of quantum mechanics. It is a collection of review papers together with brand new works related to the activities of the INdAM Intensive Period "INdAM Quantum Meetings (IQM22)", which took place at the Politecnico di Milano in Spring 2022 at Politecnico di Milano. The range of topics covered by the book is wide, going ranging from many-body quantum mechanics to quantum field theory and open quantum systems.

Author : Radu Purice
Publisher : World Scientific
Page : 312 pages
File Size : 40,9 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.

Author : Radu Purice,Ingrid Beltita,Gheorghe Nenciu
Publisher : World Scientific
Page : 312 pages
File Size : 50,8 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.

Author : C. J. Pethick,Henrik Smith
Publisher : Cambridge University Press
Page : 420 pages
File Size : 42,5 Mb
Release : 2002
Category : Science
ISBN : 0521665809

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Bose-Einstein Condensation in Dilute Gases by C. J. Pethick,Henrik Smith Pdf

Problems after each chapter

Author : Lizhen Ji
Publisher : American Mathematical Soc.
Page : 522 pages
File Size : 50,7 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821875872

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Fifth International Congress of Chinese Mathematicians by Lizhen Ji Pdf

This two-part volume represents the proceedings of the Fifth International Congress of Chinese Mathematicians, held at Tsinghua University, Beijing, in December 2010. The Congress brought together eminent Chinese and overseas mathematicians to discuss the latest developments in pure and applied mathematics. Included are 60 papers based on lectures given at the conference.

Author : Masahito Ueda
Publisher : World Scientific
Page : 368 pages
File Size : 41,5 Mb
Release : 2010
Category : Science
ISBN : 9789812839596

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Fundamentals and New Frontiers of Bose-Einstein Condensation by Masahito Ueda Pdf

This book covers the fundamentals of and new developments in gaseous Bosendash;Einstein condensation. It begins with a review of fundamental concepts and theorems, and introduces basic theories describing Bose-Einstein condensation (BEC). It then discusses some recent topics such as fast-rotating BEC, spinor and dipolar BEC, low-dimensional BEC, balanced and imbalanced fermionic superfluidity including BCS-BEC crossover and unitary gas, and p-wave superfluidity.

Author : International Conference on Differential Equations and Mathematical Physics (10th 2005
Publisher : American Mathematical Soc.
Page : 333 pages
File Size : 40,6 Mb
Release : 2006
Category : Mathematics
ISBN : 9780821838402

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Recent Advances in Differential Equations and Mathematical Physics by International Conference on Differential Equations and Mathematical Physics (10th 2005 Pdf

This book brings together both new material and recent surveys on some topics in differential equations that are either directly relevant to, or closely associated with, mathematical physics. Its topics include asymptotic formulas for the ground-state energy of fermionic gas, renormalization ideas in quantum field theory from perturbations of the free Hamiltonian on the circle, $J$-selfadjoint Dirac operators, spectral theory of Schrodinger operators, inverse problems, isoperimetric inequalities in quantum mechanics, Hardy inequalities, and non-adiabatic transitions. Excellent survey articles on Dirichlet-Neumann inverse problems on manifolds (by Uhlmann), numerical investigations associated with Laplacian eigenvalues on planar regions (by Trefethen), Snell's law and propagation of singularities in the wave equation (by Vasy), and random operators on tree graphs (by Aizenmann) make this book interesting and valuable for graduate students, young mathematicians, and physicists alike.

Author : Hal Tasaki
Publisher : Springer Nature
Page : 534 pages
File Size : 46,8 Mb
Release : 2020-05-07
Category : Technology & Engineering
ISBN : 9783030412654

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Physics and Mathematics of Quantum Many-Body Systems by Hal Tasaki Pdf

This book is a self-contained advanced textbook on the mathematical-physical aspects of quantum many-body systems, which begins with a pedagogical presentation of the necessary background information before moving on to subjects of active research, including topological phases of matter. The book explores in detail selected topics in quantum spin systems and lattice electron systems, namely, long-range order and spontaneous symmetry breaking in the antiferromagnetic Heisenberg model in two or higher dimensions (Part I), Haldane phenomena in antiferromagnetic quantum spin chains and related topics in topological phases of quantum matter (Part II), and the origin of magnetism in various versions of the Hubbard model (Part III). Each of these topics represents certain nontrivial phenomena or features that are invariably encountered in a variety of quantum many-body systems, including quantum field theory, condensed matter systems, cold atoms, and artificial quantum systems designed for future quantum computers. The book’s main focus is on universal properties of quantum many-body systems. The book includes roughly 50 problems with detailed solutions. The reader only requires elementary linear algebra and calculus to comprehend the material and work through the problems. Given its scope and format, the book is suitable both for self-study and as a textbook for graduate or advanced undergraduate classes.

Author : Daniela Cadamuro,Maximilian Duell,Wojciech Dybalski,Sergio Simonella
Publisher : Springer
Page : 257 pages
File Size : 49,8 Mb
Release : 2018-10-26
Category : Science
ISBN : 9783030016029

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Macroscopic Limits of Quantum Systems by Daniela Cadamuro,Maximilian Duell,Wojciech Dybalski,Sergio Simonella Pdf

Based on the workshop of the same name, this proceedings volume presents selected research investigating the mathematics of collective phenomena emerging from quantum theory at observable scales. Featured contributions from leading scientists provide a thorough overview of current and active research. Methods from functional analysis, spectral theory, renormalization group theory, and variational calculus are used to prove rigorous results in quantum physics. Topics include superconductivity and mathematical aspects of the BCS theory, the Jellium model and Bose-Einstein condensation, among others. Presenting technical details in an accessible way, this book serves as an introduction to research for advanced graduate students and is suitable for specialists in mathematical physics. The workshop “Macroscopic Limits of Quantum Systems” was held over three days in the spring of 2017 at the Technical University of Munich. The conference celebrated the achievements of Herbert Spohn and his reception of the Max Planck Medal.

Author : Jean-Michel Morel,Bernard Teissier
Publisher : Springer Nature
Page : 629 pages
File Size : 41,5 Mb
Release : 2023-06-14
Category : Mathematics
ISBN : 9783031122446

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Mathematics Going Forward by Jean-Michel Morel,Bernard Teissier Pdf

This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline. The contributions range from musings on the future of specific fields, to analyses of the history of the discipline, to discussions of open problems and conjectures, including first solutions of unresolved problems. Interestingly, the topics do not cover all of mathematics, but only those deemed most worthy to reflect on for future generations. These topics encompass the most active parts of pure and applied mathematics, including algebraic geometry, probability, logic, optimization, finance, topology, partial differential equations, category theory, number theory, differential geometry, dynamical systems, artificial intelligence, theory of groups, mathematical physics and statistics.

Author : Elliott H. Lieb
Publisher : Springer Science & Business Media
Page : 645 pages
File Size : 41,9 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662063903

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Condensed Matter Physics and Exactly Soluble Models by Elliott H. Lieb Pdf

This is the third Selecta of publications of Elliott Lieb, the first two being Stabil ity of Matter: From Atoms to Stars, edited by Walter Thirring, and Inequalities, edited by Michael Loss and Mary Beth Ruskai. A companion fourth Selecta on Statistical Mechanics is also edited by us. Elliott Lieb has been a pioneer of the discipline of mathematical physics as it is nowadays understood and continues to lead several of its most active directions today. For the first part of this selecta we have made a selection of Lieb's works on Condensed Matter Physics. The impact of Lieb's work in mathematical con densed matter physics is unrivaled. It is fair to say that if one were to name a founding father of the field, Elliott Lieb would be the only candidate to claim this singular position. While in related fields, such as Statistical Mechanics and Atomic Physics, many key problems are readily formulated in unambiguous mathematical form, this is less so in Condensed Matter Physics, where some say that rigor is "probably impossible and certainly unnecessary". By carefully select ing the most important questions and formulating them as well-defined mathemat ical problems, and then solving a good number of them, Lieb has demonstrated the quoted opinion to be erroneous on both counts. What is true, however, is that many of these problems turn out to be very hard. It is not unusual that they take a decade (even several decades) to solve.