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Author  Title  Accn#  Year  Item Type  Claims 
11 
Torres del Castillo, Gerardo F 
Spinors in FourDimensional Spaces 
I06897 
2010 
eBook 

12 
Saller, Heinrich 
Operational Quantum Theory I 
I06761 
2006 
eBook 

13 
Saller, Heinrich 
Operational Quantum Theory II 
I06760 
2006 
eBook 

14 
Iachello, Francesco 
Lie Algebras and Applications 
I06654 
2006 
eBook 

15 
Rudolph, Gerd 
Differential Geometry and Mathematical Physics 
I06330 
2013 
eBook 

16 
Robinson, Matthew 
Symmetry and the Standard Model 
I06030 
2011 
eBook 

17 
Strocchi, Franco 
Symmetry Breaking 
I05477 
2008 
eBook 

18 
Faddeev, L.D 
Quantum Scattering Theory for Several Particle Systems 
I04913 
1993 
eBook 

19 
Schroeck Jr., Franklin E 
Quantum Mechanics on Phase Space 
I04439 
1996 
eBook 

20 
Tanner, Elizabeth A 
Noncompact Lie Groups and Some of Their Applications 
I04271 
1994 
eBook 


11.


Title  Spinors in FourDimensional Spaces 
Author(s)  Torres del Castillo, Gerardo F 
Publication  Boston, MA, 1. Birkh??user Boston
2. Imprint: Birkh??user, 2010. 
Description  VIII, 177 p : online resource 
Abstract Note  Without using the customary Clifford algebras frequently studied in connection with the representations of orthogonal groups, this book gives an elementary introduction to the twocomponent spinor formalism for fourdimensional spaces with any signature. Some of the useful applications of fourdimensional spinors, such as Yang???Mills theory, are derived in detail using illustrative examples. Key topics and features: ??? Uniform treatment of the spinor formalism for fourdimensional spaces of any signature, not only the usual signature (+ + + ???) employed in relativity ??? Examples taken from Riemannian geometry and special or general relativity are discussed in detail, emphasizing the usefulness of the twocomponent spinor formalism ??? Exercises in each chapter ??? The relationship of Clifford algebras and Dirac fourcomponent spinors is established ??? Applications of the twocomponent formalism, focusing mainly on general relativity, are presented in the context of actual computations Spinors in FourDimensional Spaces is aimed at graduate students and researchers in mathematical and theoretical physics interested in the applications of the twocomponent spinor formalism in any fourdimensional vector space or Riemannian manifold with a definite or indefinite metric tensor. This systematic and selfcontained book is suitable as a seminar text, a reference book, and a selfstudy guide. Reviews from the author's previous book, 3D Spinors, SpinWeighted Functions and their Applications: In summary???the book gathers much of what can be done with 3D spinors in an easytoread, selfcontained form designed for applications that will supplement many available spinor treatments. The book???should be appealing to graduate students and researchers in relativity and mathematical physics. ???Mathematical Reviews The present book provides an easytoread and unconventional presentation of the spinor formalism for threedimensional spaces with a definite or indefinite metric...Following a nice and descriptive introduction???the final chapter contains some applications of the formalism to general relativity. ???Monatshefte f??r Mathematik 
ISBN,Price  9780817649845 
Keyword(s)  1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. Classical and Quantum Gravitation, Relativity Theory
4. EBOOK
5. EBOOK  SPRINGER
6. ENGINEERING MATHEMATICS
7. GRAVITATION
8. LIE GROUPS
9. Mathematical Methods in Physics
10. PHYSICS
11. TOPOLOGICAL GROUPS
12. Topological Groups, Lie Groups

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I06897 


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12.


Title  Operational Quantum Theory I : Nonrelativistic Structures 
Author(s)  Saller, Heinrich 
Publication  New York, NY, Springer New York, 2006. 
Description  XIV, 408 p : online resource 
Abstract Note  Operational Quantum Theory I is a distinguished work on quantum theory at an advanced algebraic level. The classically oriented hierarchy with objects such as particles as the primary focus, and interactions of these objects as the secondary focus is reversed with the operational interactions as basic quantum structures. Quantum theory, specifically nonrelativistic quantum mechanics, is developed from the theory of Lie group and Lie algebra operations acting on both finite and infinite dimensional vector spaces. In this book, time and space related finite dimensional representation structures and simple Lie operations, and as a nonrelativistic application, the Kepler problem which has long fascinated quantum theorists, are dealt with in some detail. Operational Quantum Theory I features many structures which allow the reader to better understand the applications of operational quantum theory, and to provide conceptually appropriate descriptions of the subject. Operational Quantum Theory I aims to understand more deeply on an operational basis what one is working with in nonrelativistic quantum theory, but also suggests new approaches to the characteristic problems of quantum mechanics 
ISBN,Price  9780387346434 
Keyword(s)  1. EBOOK
2. EBOOK  SPRINGER
3. LIE GROUPS
4. Mathematical Methods in Physics
5. MATHEMATICAL PHYSICS
6. PHYSICS
7. QUANTUM PHYSICS
8. Theoretical, Mathematical and Computational Physics
9. TOPOLOGICAL GROUPS
10. Topological Groups, Lie Groups

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Call#  Status  Issued To  Return Due On  Physical Location 
I06761 


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13.


Title  Operational Quantum Theory II : Relativistic Structures 
Author(s)  Saller, Heinrich 
Publication  New York, NY, Springer New York, 2006. 
Description  XII, 333 p : online resource 
Abstract Note  Operational Quantum Theory II is a distinguished work on quantum theory at an advanced algebraic level. The classically oriented hierarchy with objects such as particles as the primary focus, and interactions of the objects as the secondary focus is reversed with the operational interactions as basic quantum structures. Quantum theory, specifically relativistic quantum field theory is developed the theory of Lie group and Lie algebra operations acting on both finite and infinite dimensional vector spaces. This book deals with the operational concepts of relativistic space time, the Lorentz and Poincar?? group operations and their unitary representations, particularly the elementary articles. Also discussed are eigenvalues and invariants for noncompact operations in general as well as the harmonic analysis of noncompact nonabelian Lie groups and their homogeneous spaces. In addition to the operational formulation of the standard model of particle interactions, an attempt is made to understand the particle spectrum with the masses and coupling constants as the invariants and normalizations of a tangent representation structure of a an homogeneous space time model. Operational Quantum Theory II aims to understand more deeply on an operational basis what one is working with in relativistic quantum field theory, but also suggests new solutions to previously unsolved problems 
ISBN,Price  9780387346441 
Keyword(s)  1. EBOOK
2. EBOOK  SPRINGER
3. LIE GROUPS
4. Mathematical Methods in Physics
5. MATHEMATICAL PHYSICS
6. PHYSICS
7. QUANTUM PHYSICS
8. Theoretical, Mathematical and Computational Physics
9. TOPOLOGICAL GROUPS
10. Topological Groups, Lie Groups

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Call#  Status  Issued To  Return Due On  Physical Location 
I06760 


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14.


Title  Lie Algebras and Applications 
Author(s)  Iachello, Francesco 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2006. 
Description  XIV, 196 p. 26 illus : online resource 
Abstract Note  This book, designed for advanced graduate students and postgraduate researchers, provides an introduction to Lie algebras and some of their applications to the spectroscopy of molecules, atoms, nuclei and hadrons. In the first part, a concise exposition is given of the basic concepts of Lie algebras, their representations and their invariants. The second part contains a description of how Lie algebras are used in practice in the treatment of bosonic and fermionic systems. Physical applications considered include rotations and vibrations of molecules (vibron model), collective modes in nuclei (interacting boson model), the atomic shell model, the nuclear shell model, and the quark model of hadrons. One of the key concepts in the application of Lie algebraic methods in physics, that of spectrum generating algebras and their associated dynamic symmetries, is also discussed. The book contains many examples that help to elucidate the abstract algebraic definitions. It provides a summary of many formulas of practical interest, such as the eigenvalues of Casimir operators and the dimensions of the representations of all classical Lie algebras 
ISBN,Price  9783540362395 
Keyword(s)  1. Atomic structure????
2. Atomic/Molecular Structure and Spectra
3. EBOOK
4. EBOOK  SPRINGER
5. LIE GROUPS
6. Mathematical Methods in Physics
7. Molecular structure??
8. NUCLEAR PHYSICS
9. Particle and Nuclear Physics
10. PHYSICS
11. QUANTUM PHYSICS
12. TOPOLOGICAL GROUPS
13. Topological Groups, Lie Groups

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Call#  Status  Issued To  Return Due On  Physical Location 
I06654 


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15.


Title  Differential Geometry and Mathematical Physics : Part I. Manifolds, Lie Groups and Hamiltonian Systems 
Author(s)  Rudolph, Gerd;Schmidt, Matthias 
Publication  Dordrecht, Springer Netherlands, 2013. 
Description  XIV, 762 p : online resource 
Abstract Note  Starting from an undergraduate level, this book systematically develops the basics of ??? Calculus on manifolds, vector bundles, vector fields and differential forms, ??? Lie groups and Lie group actions, ??? Linear symplectic algebra and symplectic geometry, ??? Hamiltonian systems, symmetries and reduction, integrable systems and HamiltonJacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics. The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact 
ISBN,Price  9789400753457 
Keyword(s)  1. CLASSICAL MECHANICS
2. DIFFERENTIAL GEOMETRY
3. EBOOK
4. EBOOK  SPRINGER
5. GLOBAL ANALYSIS (MATHEMATICS)
6. Global Analysis and Analysis on Manifolds
7. LIE GROUPS
8. Manifolds (Mathematics)
9. Mathematical Methods in Physics
10. MECHANICS
11. PHYSICS
12. TOPOLOGICAL GROUPS
13. Topological Groups, Lie Groups

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Call#  Status  Issued To  Return Due On  Physical Location 
I06330 


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16.


Title  Symmetry and the Standard Model : Mathematics and Particle Physics 
Author(s)  Robinson, Matthew 
Publication  New York, NY, Springer New York, 2011. 
Description  XIX, 327 p : online resource 
Abstract Note  While elementary particle physics is an extraordinarily fascinating field, the huge amount of knowledge necessary to perform cuttingedge research poses a formidable challenge for students. The leap from the material contained in the standard graduate course sequence to the frontiers of Mtheory, for example, is tremendous. To make substantial contributions to the field, students must first confront a long reading list of texts on quantum field theory, general??relativity, gauge theory, particle interactions, conformal field theory, and string theory. Moreover, waves of new mathematics are required at each stage, spanning a broad set of topics including algebra, geometry, topology, and analysis. Symmetry and the Standard Model: Mathematics and Particle Physics, by Matthew Robinson, is the first volume of a series intended to teach math in a way that is catered to physicists. Following a brief review of classical physics at the undergraduate level and a preview of particle physics from an experimentalist's perspective, the text systematically lays the mathematical groundwork for an algebraic understanding of the Standard Model of Particle Physics. It then concludes with an overview of the extensions of the previous ideas to physics beyond the Standard Model. The text is geared toward advanced undergraduate students and firstyear graduate students 
ISBN,Price  9781441982674 
Keyword(s)  1. EBOOK
2. EBOOK  SPRINGER
3. Elementary particles (Physics)
4. Elementary Particles, Quantum Field Theory
5. GROUP THEORY
6. Group Theory and Generalizations
7. LIE GROUPS
8. NUCLEAR PHYSICS
9. Particle and Nuclear Physics
10. QUANTUM FIELD THEORY
11. TOPOLOGICAL GROUPS
12. Topological Groups, Lie Groups

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Call#  Status  Issued To  Return Due On  Physical Location 
I06030 


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17.


Title  Symmetry Breaking 
Author(s)  Strocchi, Franco 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2008. 
Description  X, 216 p : online resource 
Abstract Note  This new edition of Prof. Strocchi's well received primer on rigorous aspects of symmetry breaking presents a more detailed and thorough discussion of the mechanism of symmetry breaking in classical field theory in relation with the Noether theorem. Moreover, the link between symmetry breaking without massless Goldstone bosons in Coulomb systems and in gauge theories is made more explicit in terms of the delocalized Coulomb dynamics. Furthermore, the chapter on the Higgs mechanism has been significantly expanded with a nonperturbative treatment of the Higgs phenomenon, at the basis of the standard model of particle physics, in the local and in the Coulomb gauges. Last but not least, a subject index has been added and a number of misprints have been corrected. From the reviews of the first edition: The notion of spontaneous symmetry breaking has proven extremely valuable, the problem is that most derivations are perturbative and heuristic. Yet mathematically precise versions do exist, but are not widely known. It is precisely the aim of his book to correct this unbalance.  It is remarkable to see how much material can actually be presented in a rigorous way (incidentally, many of the results presented are due to Strocchi himself), yet this is largely ignored, the original heuristic derivations being, as a rule, more popular.  At each step he strongly emphasizes the physical meaning and motivation of the various notions introduced [...] a book that fills a conspicuous gap in the literature, and does it rather well. It could also be a good basis for a graduate course in mathematical physics. It can be recommended to physicists as well and, of course, for physics/mathematics libraries. J.P. Antoine, Physicalia 28/2, 2006 Strocchi's main emphasis is on the fact that the loss of symmetric behaviour requires both the nonsymmetric ground states and the infinite extension of the system. It is written in a pleasant style at a level suitable for graduate students in theoretical physics. While mathematically proper, it is not forbidding for a physics readership; the author is always aware this subject is a branch of physics. It should make profitable reading for many theoretical physicists. L.H. Ryder, J. Phys. A, 38 (2005) 97199730 In these notes the author explores the phenomenon of spontaneous symmetry breaking as it arises in classical and quantum systems. Despite many accounts in popular textbooks and a widespread belief, the phenomenon is rather subtle, requires an infinite set of degrees of freedom and an advanced mathematical setting of the system under investigation. [...] The mathematically oriented graduate student will certainly benefit from this thorough, rigorous and detailed investigation. G. Roepstorff, Zentralblatt MATH, Vol. 1075, 2006 
ISBN,Price  9783540735939 
Keyword(s)  1. EBOOK
2. EBOOK  SPRINGER
3. Elementary particles (Physics)
4. Elementary Particles, Quantum Field Theory
5. LIE GROUPS
6. Mathematical Methods in Physics
7. PHYSICS
8. Quantum Field Theories, String Theory
9. QUANTUM FIELD THEORY
10. QUANTUM PHYSICS
11. STRING THEORY
12. TOPOLOGICAL GROUPS
13. Topological Groups, Lie Groups

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Call#  Status  Issued To  Return Due On  Physical Location 
I05477 


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18.


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

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Call#  Status  Issued To  Return Due On  Physical Location 
I04913 


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19.


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, 198385, 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

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Call#  Status  Issued To  Return Due On  Physical Location 
I04439 


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20.
 
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 grouptheoretical 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 38, 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. Nonassociative Rings and Algebras
11. Nonassociative rings
12. Rings (Algebra)
13. Theoretical, Mathematical and Computational Physics
14. TOPOLOGICAL GROUPS
15. Topological Groups, Lie Groups

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Call#  Status  Issued To  Return Due On  Physical Location 
I04271 


On Shelf 



 