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1 Lieb, Elliott H The Stability of Matter: From Atoms to Stars I11279 2001 eBook  
2 Thirring, Walter Quantum Mathematical Physics I11046 2002 eBook  
3 Lieb, Elliott H The Stability of Matter: From Atoms to Stars I06244 2005 eBook  
4 Thirring, Walter Classical Dynamical Systems I02647 1978 eBook  
5 Thirring, Walter A Course in Mathematical Physics 3 I02610 1981 eBook  
6 Thirring, Walter The Schr??dinger Equation I02260 1977 eBook  
7 Ciulli, Sorin Rigorous Methods in Particle Physics I01934 1990 eBook  
8 Lieb, Elliott H The Stability of Matter: From Atoms to Stars I01487 1991 eBook  
9 Lieb, Elliott H The Stability of Matter: From Atoms to Stars I01250 1997 eBook  
10 Thirring, Walter Classical Mathematical Physics I00344 1997 eBook  
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TitleThe Stability of Matter: From Atoms to Stars : Selecta of Elliott H. Lieb
Author(s)Lieb, Elliott H;Thirring, Walter
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2001.
DescriptionXIII, 812 p. 12 illus : online resource
Abstract NoteThis collection of papers -- starting with a brilliant article by one of the masters of the field -- gives an excellent current review of our knowledge of matter. Partially basing his work on a variational formulation of quantum mechanics, E.H. Lieb links the difficult question of the stability of matter with important problems in functional analysis. In this collection the reader will find general results together with deep insights into quantum systems combined with papers on the structure of atoms and molecules, the thermodynamic limit, and stellar structures. The book is suitable as an accompanying text for a graduate course in quantum mechanics. In this new edition two new sections have been added: Section 7 contains papers on quantum electrodynamics, and Section 8 on Boson systems.
ISBN,Price9783662043608
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. CALCULUS OF VARIATIONS 4. Calculus of Variations and Optimal Control; Optimization 5. CONDENSED MATTER 6. CONDENSED MATTER PHYSICS 7. EBOOK 8. EBOOK - SPRINGER 9. MATHEMATICAL ANALYSIS 10. Mathematical Methods in Physics 11. PHYSICS 12. QUANTUM PHYSICS
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2.     
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TitleQuantum Mathematical Physics : Atoms, Molecules and Large Systems
Author(s)Thirring, Walter
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2002.
DescriptionXVI, 592 p : online resource
Abstract NoteThis 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
ISBN,Price9783662050088
Keyword(s)1. Atomic, Molecular, Optical and Plasma Physics 2. ATOMS 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. MATHEMATICAL PHYSICS 8. PHYSICS 9. QUANTUM COMPUTERS 10. QUANTUM FIELD THEORY 11. Quantum Information Technology, Spintronics 12. QUANTUM PHYSICS 13. SPINTRONICS 14. Theoretical, Mathematical and Computational Physics
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TitleThe Stability of Matter: From Atoms to Stars : Selecta of Elliott H. Lieb
Author(s)Lieb, Elliott H;Thirring, Walter
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2005.
DescriptionXVI, 932 p : online resource
Abstract NoteThis collection of papers -- starting with a brilliant article by one of the masters of the field -- gives an excellent current review of our knowledge of matter. Partially basing his own work on a variational formulation of quantum mechanics, E.H. Lieb links the difficult question of the stability of matter with important problems in functional analysis. Here the reader will find general results together with deep insights into quantum systems combined with papers on the structure of atoms and molecules, the thermodynamic limit, and stellar structures. The book is suitable as an accompanying text or recommended reading for a graduate course in quantum mechanics. In the third edition, two new sections were added: one contains papers on quantum electrodynamics, and the other on Boson systems. In this fourth edition, these topics have been further developed, extending the book by approximately 120 pages
ISBN,Price9783540270560
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. CALCULUS OF VARIATIONS 4. Calculus of Variations and Optimal Control; Optimization 5. CONDENSED MATTER 6. CONDENSED MATTER PHYSICS 7. EBOOK 8. EBOOK - SPRINGER 9. Elementary particles (Physics) 10. Elementary Particles, Quantum Field Theory 11. MATHEMATICAL ANALYSIS 12. Mathematical Methods in Physics 13. PHYSICS 14. QUANTUM FIELD THEORY 15. QUANTUM PHYSICS
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I06244     On Shelf    

4.     
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TitleClassical Dynamical Systems
Author(s)Thirring, Walter;Harrell, Evans M
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1978.
DescriptionXII, 259 p : online resource
ISBN,Price9783662398920
Keyword(s)1. COMPLEX SYSTEMS 2. DYNAMICAL SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. STATISTICAL PHYSICS 6. Statistical Physics and Dynamical Systems
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I02647     On Shelf    

5.     
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TitleA Course in Mathematical Physics 3 : Quantum Mechanics of Atoms and Molecules
Author(s)Thirring, Walter
PublicationVienna, Springer Vienna, 1981.
DescriptionVIII, 300 p : online resource
Abstract NoteIn this third volume of A Course in Mathematical Physics I have attempted not simply to introduce axioms and derive quantum mechanics from them, but also to progress to relevant applications. Reading the axiomatic litera?? ture often gives one the impression that it largely consists of making refined axioms, thereby freeing physics from any trace of down-to-earth residue and cutting it off from simpler ways of thinking. The goal pursued here, however, is to come up with concrete results that can be compared with experimental facts. Everything else should be regarded only as a side issue, and has been chosen for pragmatic reasons. It is precisely with this in mind that I feel it appropriate to draw upon the most modern mathematical methods. Only by their means can the logical fabric of quantum theory be woven with a smooth structure; in their absence, rough spots would . inevitably appear, especially in the theory of unbounded operators, where the details are too intricate to be comprehended easily. Great care has been taken to build up this mathematical weaponry as completely as possible, as it is also the basic arsenal of the next volume. This means that many proofs have been tucked away in the exercises. My greatest concern was to replace the ordinary cal?? culations of uncertain accuracy with better ones having error bounds, in order to raise the crude manners of theoretical physics to the more cultivated level of experimental physics
ISBN,Price9783709175231
Keyword(s)1. Atomic, Molecular, Optical and Plasma Physics 2. ATOMS 3. EBOOK 4. EBOOK - SPRINGER 5. PHYSICS 6. QUANTUM COMPUTERS 7. Quantum Information Technology, Spintronics 8. QUANTUM PHYSICS 9. SPINTRONICS
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I02610     On Shelf    

6.     
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TitleThe Schr??dinger Equation : Proceedings of the International Symposium ???50 Years Schr??dinger Equation??? in Vienna, 10th???12th June 1976
Author(s)Thirring, Walter;Urban, Paul
PublicationVienna, Springer Vienna, 1977.
DescriptionX, 224 p : online resource
Abstract NoteOn the occasion of the 50th anniversary of the discovery of the Schrodinger equation a small symposium was organized in Vienna. It had mainly retrospective character, where after an appreciation of Schrodinger's scientific achievements the results were collected which one could extract from his equation. Of course not all the developments which originated in Schrodingers dis?? coveries could be included. Instead, it was attempted to present a review of the established predictions which follow directly from his equation. Despite the 50 years of its existence there are always new results of this sort being found, especially because the necessary mathe?? matical methods are being developed and become known to the physicists slowly only now .. I want to take the opportunity here to thank the lecturers for their efforts which they put into their excellent talks and their written versions. With their help this volume should become a useful document on the current mathematical art in the treatment of the Schrodinger equation. Finally it is my pleasant obligation to thank the Bundesministerium fUr Wissenschaft und Forschung and the Kulturamt der Gemeinde Wien for their financial support which made it possible to honor one of the great Austrian scientists
ISBN,Price9783709176733
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. QUANTUM PHYSICS
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I02260     On Shelf    

7.     
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TitleRigorous Methods in Particle Physics
Author(s)Ciulli, Sorin;Scheck, Florian;Thirring, Walter
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1990.
DescriptionX, 222 p. 3 illus : online resource
Abstract NoteThe book addresses three major topics in mathematical physics: 1. recent rigorous results in potential theory with appli- cations in particle physics, 2. analyticity in quantum field theory and its applica- tions, and 3. fundamentals and applications of the inverse problem. In addition, the book contains some contributions on questions of general interest in quantum field theory such as nonperturbative solutions of quantum chromodynamics, bifurcation theory applied to chiral symmetry, as well as exactly soluable models. The volume closes with a brief review of geometric approaches to particle physics and a phenomenological discussion of Higgs interactions
ISBN,Price9783540471769
Keyword(s)1. Atomic, Molecular, Optical and Plasma Physics 2. ATOMS 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. Heavy ions 8. MATHEMATICAL PHYSICS 9. NUCLEAR FUSION 10. NUCLEAR PHYSICS 11. Nuclear Physics, Heavy Ions, Hadrons 12. PHYSICS 13. QUANTUM FIELD THEORY 14. Theoretical, Mathematical and Computational Physics
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I01934     On Shelf    

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TitleThe Stability of Matter: From Atoms to Stars : Selecta
Author(s)Lieb, Elliott H;Thirring, Walter
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1991.
DescriptionVIII, 565 p : online resource
Abstract NoteWith this book, Elliott Lieb joins his peers Hermann Weyl and Chen Ning Yang. Weyl's Selecta was published in 1956, Yang's Selected Papers in 1983. Lieb's "Selecta", like its predecessors, gives us the essence of a great mathema?? tical physicist concentrated into one convenient volume. Weyl, Yang and Lieb have much more in common than the accident of this manner of publication. They have in common a style and a tradition. Each of them is master of a for?? midable mathematical technique. Each of them uses hard mathematical ana?? lysis to reach an understanding of physical laws. Each of them enriches both physics and mathematics by finding new mathematical depths in the description of familiar physical processes. The central theme of Weyl's work in mathematical physics was the idea of symmetry, linking physical invariance-principles with the mathematics of group-theory. One of Yang's central themes is the idea of a gauge field, linking physical interactions with the mathematics of fibre-bundles. The central theme of Lieb's papers collected in this book is the classical Thomas-Fermi model of an atom, linking the physical stability of matter with the mathematics of func?? tional analysis. In all three cases, a rather simple physical idea provided the starting-point for building a grand and beautiful mathematical structure. Weyl, Yang and Lieb were not content with merely solving a problem. Each of them was concerned with understanding the deep mathematical roots out of which physical phenomena grow
ISBN,Price9783662027257
Keyword(s)1. CRYSTALLOGRAPHY 2. Crystallography and Scattering Methods 3. EBOOK 4. EBOOK - SPRINGER 5. MATHEMATICAL PHYSICS 6. Theoretical, Mathematical and Computational Physics
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9.     
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TitleThe Stability of Matter: From Atoms to Stars : Selecta of Elliot H. Lieb
Author(s)Lieb, Elliott H;Thirring, Walter
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1997.
DescriptionXI, 676 p : online resource
Abstract NoteThe 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
ISBN,Price9783662034361
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. CALCULUS OF VARIATIONS 4. Calculus of Variations and Optimal Control; Optimization 5. CONDENSED MATTER 6. CONDENSED MATTER PHYSICS 7. EBOOK 8. EBOOK - SPRINGER 9. MATHEMATICAL ANALYSIS 10. QUANTUM COMPUTERS 11. Quantum Information Technology, Spintronics 12. QUANTUM PHYSICS 13. SPINTRONICS 14. SYSTEM THEORY 15. Systems Theory, Control
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I01250     On Shelf    

10.    
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TitleClassical Mathematical Physics : Dynamical Systems and Field Theories
Author(s)Thirring, Walter
PublicationNew York, NY, Springer New York, 1997.
DescriptionXXVIII, 543 p : online resource
Abstract NoteThis volume combines the enlarged and corrected editions of both volumes on classical physics of Thirring's famous course in mathematical physics. With numerous examples and remarks accompanying the text, it is suitable as a textbook for students in physics, mathematics, and applied mathematics. The treatment of classical dynamical systems uses analysis on manifolds to provide the mathematical setting for discussions of Hamiltonian systems, canonical transformations, constants of motion, and pertubation theory. Problems discussed in considerable detail include: nonrelativistic motion of particles and systems, relativistic motion in electromagnetic and gravitational fields, and the structure of black holes. The treatment of classical fields uses the language of differenial geometry throughout, treating both Maxwell's and Einstein's equations in a compact and clear fashion. The book includes discussions of the electromagnetic field due to known charge distributions and in the presence of conductors as well as a new section on gauge theories. It discusses the solutions of the Einstein equations for maximally symmetric spaces and spaces with maximally symmetric submanifolds; it concludes by applying these results to the life and death of stars
ISBN,Price9781461206811
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. MATHEMATICAL PHYSICS 4. Theoretical, Mathematical and Computational Physics
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