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Author : Pedro Balodis Matesanz
Publisher :
ISBN 13 :
Total Pages : 29 pages
Book Rating : 4.:/5 (247 download)
Download or read book On the Asymptotic Exactness of Thomas-Fermi Theory in the Thermodynamic Limit written by Pedro Balodis Matesanz and published by . This book was released on 1998 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Research Report written by and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pedro Balodis Matesanz
Publisher :
ISBN 13 :
Total Pages : 29 pages
Book Rating : 4.:/5 (897 download)
Download or read book On the Symptotic Exactness of Thomas-Fermi Theory in the Thermodynamic Limit written by Pedro Balodis Matesanz and published by . This book was released on 1998 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Elliott H. Lieb
Publisher : Springer Science & Business Media
ISBN 13 : 3662034360
Total Pages : 677 pages
Book Rating : 4.6/5 (62 download)
Download or read book The Stability of Matter: From Atoms to Stars written by Elliott H. Lieb and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of "The Stability of Matter: From Atoms to Stars" was sold out after a time unusually short for a selecta collection and we thought it ap propriate not just to make a reprinting but to include eight new contributionso They demonstrate that this field is still lively and keeps revealing unexpected featureso Of course, we restricted ourselves to developments in which Elliott Lieb participated and thus the heroic struggle in Thomas-Fermi theory where 7 3 5 3 the accuracy has been pushed from Z 1 to Z 1 is not includedo A rich landscape opened up after Jakob Yngvason's observation that atoms in magnetic fields also are described in suitable limits by a Thomas-Fermi-type theoryo Together with Elliott Lieb and Jan Philip Solovej it was eventually worked out that one has to distinguish 5 regionso If one takes as a dimensionless measure of the magnetic field strength B the ratio Larmor radius/Bohr radius one can compare it with N "' Z and for each of the domains 4 3 (i) B « N 1 , 4 3 (ii) B "' N 1 , 4 3 3 (iii) N 1« B « N , 3 (iv) B "' N , 3 (v) B » N a different version ofmagnetic Thomas-Fermi theory becomes exact in the limit N --+ ooo In two dimensions and a confining potential ("quantum dots") the situation is somewhat simpler, one has to distinguish only (i) B « N, (ii) B "'N,
Author : Pedro Balodis Matesanz
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (246 download)
Download or read book On the Asymptotic Exactness of Thomas-Fermi Theory in the Termodynamic Limit written by Pedro Balodis Matesanz and published by . This book was released on 1998 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 736 pages
Book Rating : 4.:/5 (3 download)
Download or read book Energy Research Abstracts written by and published by . This book was released on 1988 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rudi Weikard
Publisher : American Mathematical Soc.
ISBN 13 : 0821821571
Total Pages : 491 pages
Book Rating : 4.8/5 (218 download)
Download or read book Differential Equations and Mathematical Physics written by Rudi Weikard and published by American Mathematical Soc.. This book was released on 2000 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 1999 International Conference on Differential Equations and Mathematical Physics. The contributions selected for this volume represent some of the most important presentations by scholars from around the world on developments in this area of research. The papers cover topics in the general area of linear and nonlinear differential equations and their relation to mathematical physics, such as multiparticle Schrödinger operators, stability of matter, relativity theory, fluid dynamics, spectral and scattering theory including inverse problems. Titles in this series are co-published with International Press, Cambridge, MA.
Author : Walter Thirring
Publisher : Springer Science & Business Media
ISBN 13 : 3709175267
Total Pages : 298 pages
Book Rating : 4.7/5 (91 download)
Download or read book A Course in Mathematical Physics written by Walter Thirring and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this final volume I have tried to present the subject of statistical mechanics in accordance with the basic principles of the series. The effort again entailed following Gustav Mahler's maxim, "Tradition = Schlamperei" (i.e., filth) and clearing away a large portion of this tradition-laden area. The result is a book with little in common with most other books on the subject. The ordinary perturbation-theoretic calculations are not very useful in this field. Those methods have never led to propositions of much substance. Even when perturbation series, which for the most part never converge, can be given some asymptotic meaning, it cannot be determined how close the nth order approximation comes to the exact result. Since analytic solutions of nontrivial problems are beyond human capabilities, for better or worse we must settle for sharp bounds on the quantities of interest, and can at most strive to make the degree of accuracy satisfactory.
Author : Yulia E. Karpeshina
Publisher : American Mathematical Soc.
ISBN 13 : 0821832964
Total Pages : 410 pages
Book Rating : 4.8/5 (218 download)
Download or read book Advances in Differential Equations and Mathematical Physics written by Yulia E. Karpeshina and published by American Mathematical Soc.. This book was released on 2003 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the 9th International Conference on Differential Equations and Mathematical Physics. It contains 29 research and survey papers contributed by conference participants. The conference provided researchers a forum to present and discuss their recent results in a broad range of areas encompassing the theory of differential equations and their applications in mathematical physics. Papers in this volume represent some of the most interesting results and the major areas of research that were covered, including spectral theory with applications to non-relativistic and relativistic quantum mechanics, including time-dependent and random potential, resonances, many body systems, pseudodifferential operators and quantum dynamics, inverse spectral and scattering problems, the theory of linear and nonlinear partial differential equations with applications in fluid dynamics, conservation laws and numerical simulations, as well as equilibrium and nonequilibrium statistical mechanics. The volume is intended for graduate students and researchers interested in mathematical physics.
Author : Isabelle Catto
Publisher : Oxford University Press
ISBN 13 : 9780198501619
Total Pages : 300 pages
Book Rating : 4.5/5 (16 download)
Download or read book The Mathematical Theory of Thermodynamic Limits written by Isabelle Catto and published by Oxford University Press. This book was released on 1998 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The thermodynamic limit is a mathematical technique for modeling crystals or other macroscopic objects by considering them as infinite periodic arrays of molecules. The technique allows models in solid state physics to be derived directly from models in quantum chemistry. This book presents new results, many previously unpublished, for a large class of models and provides a survey of the mathematics of thermodynamic limit problems. The authors both work closely with Fields Medal-winner Pierre-Louis Lion, and the book will be a valuable tool for applied mathematicians and mathematical physicists studying nonlinear partial differential equations.
Author : Fritz Gesztesy
Publisher : American Mathematical Soc.
ISBN 13 : 082184248X
Total Pages : 528 pages
Book Rating : 4.8/5 (218 download)
Download or read book Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday written by Fritz Gesztesy and published by American Mathematical Soc.. This book was released on 2007 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift had its origins in a conference called SimonFest held at Caltech, March 27-31, 2006, to honor Barry Simon's 60th birthday. It is not a proceedings volume in the usual sense since the emphasis of the majority of the contributions is on reviews of the state of the art of certain fields, with particular focus on recent developments and open problems. The bulk of the articles in this Festschrift are of this survey form, and a few review Simon's contributions to aparticular area. Part 1 contains surveys in the areas of Quantum Field Theory, Statistical Mechanics, Nonrelativistic Two-Body and $N$-Body Quantum Systems, Resonances, Quantum Mechanics with Electric and Magnetic Fields, and the Semiclassical Limit. Part 2 contains surveys in the areas of Random andErgodic Schrodinger Operators, Singular Continuous Spectrum, Orthogonal Polynomials, and Inverse Spectral Theory. In several cases, this collection of surveys portrays both the history of a subject and its current state of the art. A substantial part of the contributions to this Festschrift are survey articles on the state of the art of certain areas with special emphasis on open problems. This will benefit graduate students as well as researchers who want to get a quick, yet comprehensiveintroduction into an area covered in this volume.
Author : Walter Thirring
Publisher : Springer Science & Business Media
ISBN 13 : 3662050080
Total Pages : 599 pages
Book Rating : 4.6/5 (62 download)
Download or read book Quantum Mathematical Physics written by Walter Thirring and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : J. Messer
Publisher : Springer
ISBN 13 : 9783662184592
Total Pages : 134 pages
Book Rating : 4.1/5 (845 download)
Download or read book Temperature Dependent Thomas-Fermi Theory written by J. Messer and published by Springer. This book was released on 2014-03-12 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Berthold-georg Englert
Publisher : World Scientific
ISBN 13 : 9811272166
Total Pages : 397 pages
Book Rating : 4.8/5 (112 download)
Download or read book Density Functionals For Many-particle Systems: Mathematical Theory And Physical Applications Of Effective Equations written by Berthold-georg Englert and published by World Scientific. This book was released on 2023-02-10 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Density Functional Theory (DFT) first established it's theoretical footing in the 1960s from the framework of Hohenberg-Kohn theorems. DFT has since seen much development in evaluation techniques as well as application in solving problems in Physics, Mathematics and Chemistry.This review volume, part of the IMS Lecture Notes Series, is a collection of contributions from the September 2019 Workshop on the topic, held in the Institute for Mathematical Sciences, National University of Singapore.With contributions from prominent Mathematicians, Physicists, and Chemists, the volume is a blend of comprehensive review articles on the Mathematical and the Physicochemical aspects of DFT and shorter contributions on particular themes, including numerical implementations.The book will be a useful reference for advanced undergraduate and postgraduate students as well as researchers.
Author : Walter E. Thirring
Publisher : Springer
ISBN 13 :
Total Pages : 1109 pages
Book Rating : 4.:/5 (319 download)
Download or read book A Course in Mathematical Physics: Quantum mechanics of large systems written by Walter E. Thirring and published by Springer. This book was released on 1978 with total page 1109 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 860 pages
Book Rating : 4.:/5 (319 download)
Download or read book INIS Atomindex written by and published by . This book was released on 1988 with total page 860 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Walter E. Thirring
Publisher : American Mathematical Soc.
ISBN 13 : 9780821808122
Total Pages : 750 pages
Book Rating : 4.8/5 (81 download)
Download or read book Selected Papers of Walter E. Thirring with Commentaries written by Walter E. Thirring and published by American Mathematical Soc.. This book was released on 1998 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: ".... with the huge success of the quantum theory, starting especially with the Schrödinger equation in 1926, came a feeling among the leading physicists that mathematics should keep in the background or, as one person put it, `elegance is for tailors'. From the other side, mid-twentieth century mathematicians were not much more hospitable about intrusions of physics, as we can see, for instance, in Hardy's well known little essay. Walter was one of the first, in the post-war years, to try to put things back together." -- from the Foreword by Elliott Lieb This book contains Thirring's scientific contributions to mathematical physics, statistical physics, general relativity, quantum field theory, and elementary particle theory from 1950 onward. The order of the papers within the various sections is chronological and reflects the development of the fields during the second half of this century. In some cases, Thirring returned to problems decades later when the tools for their solution had ripened. Each section contains introductory comments by Thirring, outlining his motivation for the work at that time.
