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Author | Title | Accn# | Year | Item Type | Claims |
21 |
Faddeev, L.D |
Quantum Scattering Theory for Several Particle Systems |
I04913 |
1993 |
eBook |
|
22 |
Schroeck Jr., Franklin E |
Quantum Mechanics on Phase Space |
I04439 |
1996 |
eBook |
|
23 |
Tanner, Elizabeth A |
Noncompact Lie Groups and Some of Their Applications |
I04271 |
1994 |
eBook |
|
24 |
Ibort, Alberto |
Integrable Systems, Quantum Groups, and Quantum Field Theories |
I03653 |
1993 |
eBook |
|
25 |
Carter, R.W |
Algebraic Groups and their Representations |
I02777 |
1998 |
eBook |
|
26 |
Doebner, Heinz-Dietrich |
Group Theoretical Methods in Physics |
I02270 |
1988 |
eBook |
|
27 |
Broer, A |
Representation Theories and Algebraic Geometry |
I01480 |
1998 |
eBook |
|
28 |
PONTRJAGIN, L. |
Topological groups |
019700 |
1946 |
Book |
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21.
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Title | Quantum Scattering Theory for Several Particle Systems |
Author(s) | Faddeev, L.D;Merkuriev, S.P |
Publication | Dordrecht, Springer Netherlands, 1993. |
Description | XIV, 406 p : online resource |
Abstract Note | The last decade witnessed an increasing interest of mathematicians in prob?? lems originated in mathematical physics. As a result of this effort, the scope of traditional mathematical physics changed considerably. New problems es?? pecially those connected with quantum physics make use of new ideas and methods. Together with classical and functional analysis, methods from dif?? ferential geometry and Lie algebras, the theory of group representation, and even topology and algebraic geometry became efficient tools of mathematical physics. On the other hand, the problems tackled in mathematical physics helped to formulate new, purely mathematical, theorems. This important development must obviously influence the contemporary mathematical literature, especially the review articles and monographs. A considerable number of books and articles appeared, reflecting to some extend this trend. In our view, however, an adequate language and appropriate methodology has not been developed yet. Nowadays, the current literature includes either mathematical monographs occasionally using physical terms, or books on theoretical physics focused on the mathematical apparatus. We hold the opinion that the traditional mathematical language of lem?? mas and theorems is not appropriate for the contemporary writing on mathe?? matical physics. In such literature, in contrast to the standard approaches of theoretical physics, the mathematical ideology must be utmost emphasized and the reference to physical ideas must be supported by appropriate mathe?? matical statements. Of special importance are the results and methods that have been developed in this way for the first time |
ISBN,Price | 9789401728324 |
Keyword(s) | 1. Atomic, Molecular, Optical and Plasma Physics
2. ATOMS
3. EBOOK
4. EBOOK - SPRINGER
5. INTEGRAL EQUATIONS
6. LIE GROUPS
7. PHYSICS
8. QUANTUM PHYSICS
9. TOPOLOGICAL GROUPS
10. Topological Groups, Lie Groups
|
Item Type | eBook |
Multi-Media Links
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Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I04913 |
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On Shelf |
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22.
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Title | Quantum Mechanics on Phase Space |
Author(s) | Schroeck Jr., Franklin E |
Publication | Dordrecht, Springer Netherlands, 1996. |
Description | XVI, 672 p : online resource |
Abstract Note | In this monograph, we shall present a new mathematical formulation of quantum theory, clarify a number of discrepancies within the prior formulation of quantum theory, give new applications to experiments in physics, and extend the realm of application of quantum theory well beyond physics. Here, we motivate this new formulation and sketch how it developed. Since the publication of Dirac's famous book on quantum mechanics [Dirac, 1930] and von Neumann's classic text on the mathematical foundations of quantum mechanics two years later [von Neumann, 1932], there have appeared a number of lines of development, the intent of each being to enrich quantum theory by extra?? polating or even modifying the original basic structure. These lines of development have seemed to go in different directions, the major directions of which are identified here: First is the introduction of group theoretical methods [Weyl, 1928; Wigner, 1931] with the natural extension to coherent state theory [Klauder and Sudarshan, 1968; Peremolov, 1971]. The call for an axiomatic approach to physics [Hilbert, 1900; Sixth Problem] led to the development of quantum logic [Mackey, 1963; Jauch, 1968; Varadarajan, 1968, 1970; Piron, 1976; Beltrametti & Cassinelli, 1981], to the creation of the operational approach [Ludwig, 1983-85, 1985; Davies, 1976] with its application to quantum communication theory [Helstrom, 1976; Holevo, 1982), and to the development of the C* approach [Emch, 1972]. An approach through stochastic differential equations ("stochastic mechanics") was developed [Nelson, 1964, 1966, 1967] |
ISBN,Price | 9789401728300 |
Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. GLOBAL ANALYSIS (MATHEMATICS)
4. Global Analysis and Analysis on Manifolds
5. Imaging / Radiology
6. LIE GROUPS
7. Manifolds (Mathematics)
8. Neurosciences
9. QUANTUM PHYSICS
10. Radiology
11. Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences
12. Statistics??
13. TOPOLOGICAL GROUPS
14. Topological Groups, Lie Groups
|
Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I04439 |
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On Shelf |
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23.
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Title | Noncompact Lie Groups and Some of Their Applications |
Author(s) | Tanner, Elizabeth A;Wilson, R |
Publication | Dordrecht, Springer Netherlands, 1994. |
Description | 512 p : online resource |
Abstract Note | During the past two decades representations of noncompact Lie groups and Lie algebras have been studied extensively, and their application to other branches of mathematics and to physical sciences has increased enormously. Several theorems which were proved in the abstract now carry definite mathematical and physical sig?? nificance. Several physical observations which were not understood before are now explained in terms of models based on new group-theoretical structures such as dy?? namical groups and Lie supergroups. The workshop was designed to bring together those mathematicians and mathematical physicists who are actively working in this broad spectrum of research and to provide them with the opportunity to present their recent results and to discuss the challenges facing them in the many problems that remain. The objective of the workshop was indeed well achieved. This book contains 31 lectures presented by invited participants attending the NATO Advanced Research Workshop held in San Antonio, Texas, during the week of January 3-8, 1993. The introductory article by the editors provides a brief review of the concepts underlying these lectures (cited by author [*]) and mentions some of their applications. The articles in the book are grouped under the following general headings: Lie groups and Lie algebras, Lie superalgebras and Lie supergroups, and Quantum groups, and are arranged in the order in which they are cited in the introductory article. We are very thankful to Dr |
ISBN,Price | 9789401110785 |
Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. GLOBAL ANALYSIS (MATHEMATICS)
4. Global Analysis and Analysis on Manifolds
5. GROUP THEORY
6. Group Theory and Generalizations
7. LIE GROUPS
8. Manifolds (Mathematics)
9. MATHEMATICAL PHYSICS
10. Non-associative Rings and Algebras
11. Nonassociative rings
12. Rings (Algebra)
13. Theoretical, Mathematical and Computational Physics
14. TOPOLOGICAL GROUPS
15. Topological Groups, Lie Groups
|
Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I04271 |
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On Shelf |
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24.
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Title | Integrable Systems, Quantum Groups, and Quantum Field Theories |
Author(s) | Ibort, Alberto;Rodr??guez, M.A |
Publication | Dordrecht, Springer Netherlands, 1993. |
Description | XI, 502 p : online resource |
Abstract Note | In many ways the last decade has witnessed a surge of interest in the interplay between theoretical physics and some traditional areas of pure mathematics. This book contains the lectures delivered at the NATO-ASI Summer School on `Recent Problems in Mathematical Physics' held at Salamanca, Spain (1992), offering a pedagogical and updated approach to some of the problems that have been at the heart of these events. Among them, we should mention the new mathematical structures related to integrability and quantum field theories, such as quantum groups, conformal field theories, integrable statistical models, and topological quantum field theories, that are discussed at length by some of the leading experts on the areas in several of the lectures contained in the book. Apart from these, traditional and new problems in quantum gravity are reviewed. Other contributions to the School included in the book range from symmetries in partial differential equations to geometrical phases in quantum physics. The book is addressed to researchers in the fields covered, PhD students and any scientist interested in obtaining an updated view of the subjects |
ISBN,Price | 9789401119801 |
Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. LIE GROUPS
4. MATHEMATICAL PHYSICS
5. Non-associative Rings and Algebras
6. Nonassociative rings
7. PARTIAL DIFFERENTIAL EQUATIONS
8. Rings (Algebra)
9. Theoretical, Mathematical and Computational Physics
10. TOPOLOGICAL GROUPS
11. Topological Groups, Lie Groups
|
Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I03653 |
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On Shelf |
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25.
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Title | Algebraic Groups and their Representations |
Author(s) | Carter, R.W;Saxl, J |
Publication | Dordrecht, Springer Netherlands, 1998. |
Description | XVIII, 374 p : online resource |
Abstract Note | This volume contains 19 articles written by speakers at the Advanced Study Institute on 'Modular representations and subgroup structure of al?? gebraic groups and related finite groups' held at the Isaac Newton Institute, Cambridge from 23rd June to 4th July 1997. We acknowledge with gratitude the financial support given by the NATO Science Committee to enable this ASI to take place. Generous financial support was also provided by the European Union. We are also pleased to acknowledge funds given by EPSRC to the Newton Institute which were used to support the meeting. It is a pleasure to thank the Director of the Isaac Newton Institute, Professor Keith Moffatt, and the staff of the Institute for their dedicated work which did so much to further the success of the meeting. The editors wish to thank Dr. Ross Lawther and Dr. Nick Inglis most warmly for their help in the production of this volume. Dr. Lawther in particular made an invaluable contribution in preparing the volume for submission to the publishers. Finally we wish to thank the distinguished speakers at the ASI who agreed to write articles for this volume based on their lectures at the meet?? ing. We hope that the volume will stimulate further significant advances in the theory of algebraic groups |
ISBN,Price | 9789401153089 |
Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. GROUP THEORY
4. Group Theory and Generalizations
5. LIE GROUPS
6. Non-associative Rings and Algebras
7. Nonassociative rings
8. Rings (Algebra)
9. TOPOLOGICAL GROUPS
10. Topological Groups, Lie Groups
|
Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I02777 |
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On Shelf |
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26.
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Title | Group Theoretical Methods in Physics : Proceedings of the XVI International Colloquium Held at Varna, Bulgaria, June 15-20, 1987 |
Author(s) | Doebner, Heinz-Dietrich;Hennig, J??rg D;Palev, Tchavdar D |
Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 1988. |
Description | XI, 599 p : online resource |
Abstract Note | The aim of this well-known annual colloquium on group theoretical and geometrical methods in physics is to give an overview of current research. Original contributions along with some review articles cover relevant mathematical developments as well as applications to physical phenomena. The volume contains contributions dealing with concepts from classical group theory, supergroups, superalgebras, infinite dimensional groups, Kac-Moody algebras and related structures. Applications to physics include quantization methods, nuclear physics, crystallography, gauge theory and strings in particle physics. Most of the articles have an introductory or a review section, so the volume will be useful not only for researchers but also for graduate students |
ISBN,Price | 9783540459590 |
Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. LIE GROUPS
4. Mathematical Methods in Physics
5. Numerical and Computational Physics, Simulation
6. PHYSICS
7. QUANTUM COMPUTERS
8. Quantum Information Technology, Spintronics
9. QUANTUM PHYSICS
10. SPINTRONICS
11. TOPOLOGICAL GROUPS
12. Topological Groups, Lie Groups
|
Item Type | eBook |
Multi-Media Links
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Circulation Data
Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I02270 |
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On Shelf |
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27.
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Title | Representation Theories and Algebraic Geometry |
Author(s) | Broer, A |
Publication | Dordrecht, Springer Netherlands, 1998. |
Description | XXII, 444 p : online resource |
Abstract Note | The 12 lectures presented in Representation Theories and Algebraic Geometry focus on the very rich and powerful interplay between algebraic geometry and the representation theories of various modern mathematical structures, such as reductive groups, quantum groups, Hecke algebras, restricted Lie algebras, and their companions. This interplay has been extensively exploited during recent years, resulting in great progress in these representation theories. Conversely, a great stimulus has been given to the development of such geometric theories as D-modules, perverse sheafs and equivariant intersection cohomology. The range of topics covered is wide, from equivariant Chow groups, decomposition classes and Schubert varieties, multiplicity free actions, convolution algebras, standard monomial theory, and canonical bases, to annihilators of quantum Verma modules, modular representation theory of Lie algebras and combinatorics of representation categories of Harish-Chandra modules |
ISBN,Price | 9789401591317 |
Keyword(s) | 1. ALGEBRAIC GEOMETRY
2. EBOOK
3. EBOOK - SPRINGER
4. GROUP THEORY
5. Group Theory and Generalizations
6. LIE GROUPS
7. Non-associative Rings and Algebras
8. Nonassociative rings
9. Rings (Algebra)
10. TOPOLOGICAL GROUPS
11. Topological Groups, Lie Groups
|
Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I01480 |
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On Shelf |
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