| |
| |
Click the serial number on the left to view the details of the item. |
| # |
Author | Title | Accn# | Year | Item Type | Claims |
| 11 |
Carow-Watamura, Ursula |
Quantum Field Theory and Noncommutative Geometry |
I08223 |
2005 |
eBook |
|
| 12 |
Unterberger, J??r??mie |
The Schr??dinger-Virasoro Algebra |
I08215 |
2012 |
eBook |
|
| 13 |
Schwichtenberg, Jakob |
Physics from Symmetry |
I08072 |
2015 |
eBook |
|
| 14 |
Torres del Castillo, Gerardo F |
Spinors in Four-Dimensional Spaces |
I06897 |
2010 |
eBook |
|
| 15 |
Saller, Heinrich |
Operational Quantum Theory I |
I06761 |
2006 |
eBook |
|
| 16 |
Saller, Heinrich |
Operational Quantum Theory II |
I06760 |
2006 |
eBook |
|
| 17 |
Iachello, Francesco |
Lie Algebras and Applications |
I06654 |
2006 |
eBook |
|
| 18 |
Rudolph, Gerd |
Differential Geometry and Mathematical Physics |
I06330 |
2013 |
eBook |
|
| 19 |
Robinson, Matthew |
Symmetry and the Standard Model |
I06030 |
2011 |
eBook |
|
| 20 |
Strocchi, Franco |
Symmetry Breaking |
I05477 |
2008 |
eBook |
|
|
|
11.
  |
 |
| Title | Quantum Field Theory and Noncommutative Geometry |
| Author(s) | Carow-Watamura, Ursula;Maeda, Yoshiaki;Watamura, Satoshi |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2005. |
| Description | X, 298 p : online resource |
| Abstract Note | This volume reflects the growing collaboration between mathematicians and theoretical physicists to treat the foundations of quantum field theory using the mathematical tools of q-deformed algebras and noncommutative differential geometry. A particular challenge is posed by gravity, which probably necessitates extension of these methods to geometries with minimum length and therefore quantization of space. This volume builds on the lectures and talks that have been given at a recent meeting on "Quantum Field Theory and Noncommutative Geometry." A considerable effort has been invested in making the contributions accessible to a wider community of readers - so this volume will not only benefit researchers in the field but also postgraduate students and scientists from related areas wishing to become better acquainted with this field |
| ISBN,Price | 9783540315261 |
| Keyword(s) | 1. ALGEBRAIC TOPOLOGY
2. DIFFERENTIAL GEOMETRY
3. EBOOK
4. EBOOK - SPRINGER
5. Elementary particles (Physics)
6. Elementary Particles, Quantum Field Theory
7. LIE GROUPS
8. Mathematical Methods in Physics
9. PHYSICS
10. QUANTUM FIELD THEORY
11. TOPOLOGICAL GROUPS
12. 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 |
| I08223 |
|
|
On Shelf |
|
|
|
|
12.
 |
|
| Title | The Schr??dinger-Virasoro Algebra : Mathematical structure and dynamical Schr??dinger symmetries |
| Author(s) | Unterberger, J??r??mie;Roger, Claude |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 2012. |
| Description | XLII, 302 p : online resource |
| Abstract Note | This monograph provides the first up-to-date and self-contained presentation of a recently discovered mathematical structure???the Schr??dinger-Virasoro algebra. Just as Poincar?? invariance or conformal (Virasoro) invariance play a key role in understanding, respectively, elementary particles and two-dimensional equilibrium statistical physics, this algebra of non-relativistic conformal symmetries may be expected to apply itself naturally to the study of some models of non-equilibrium statistical physics, or more specifically in the context of recent developments related to the non-relativistic AdS/CFT correspondence. ?? The study of the structure of this infinite-dimensional Lie algebra touches upon topics as various as statistical physics, vertex algebras, Poisson geometry, integrable systems and supergeometry as well as representation theory, the cohomology of infinite-dimensional Lie algebras, and the spectral theory of Schr??dinger operators. |
| ISBN,Price | 9783642227172 |
| Keyword(s) | 1. Category theory (Mathematics)
2. Category Theory, Homological Algebra
3. COMPLEX SYSTEMS
4. DYNAMICAL SYSTEMS
5. EBOOK
6. EBOOK - SPRINGER
7. Homological algebra
8. LIE GROUPS
9. Mathematical Methods in Physics
10. MATHEMATICAL PHYSICS
11. PHYSICS
12. STATISTICAL PHYSICS
13. Statistical Physics and Dynamical Systems
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 |
| I08215 |
|
|
On Shelf |
|
|
|
|
|
13.
|
|
| Title | Physics from Symmetry |
| Author(s) | Schwichtenberg, Jakob |
| Publication | Cham, Springer International Publishing, 2015. |
| Description | XIX, 279 p. 31 illus., 17 illus. in color : online resource |
| Abstract Note | This??is a textbook that derives the fundamental theories of physics from??symmetry. ?? It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived. As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations |
| ISBN,Price | 9783319192017 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. LIE GROUPS
4. Mathematical Methods in Physics
5. MATHEMATICAL PHYSICS
6. NUCLEAR PHYSICS
7. Particle and Nuclear Physics
8. PHYSICS
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 |
| I08072 |
|
|
On Shelf |
|
|
|
|
|
14.
|
|
| Title | Spinors in Four-Dimensional 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 two-component spinor formalism for four-dimensional spaces with any signature. Some of the useful applications of four-dimensional spinors, such as Yang???Mills theory, are derived in detail using illustrative examples. Key topics and features: ??? Uniform treatment of the spinor formalism for four-dimensional 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 two-component spinor formalism ??? Exercises in each chapter ??? The relationship of Clifford algebras and Dirac four-component spinors is established ??? Applications of the two-component formalism, focusing mainly on general relativity, are presented in the context of actual computations Spinors in Four-Dimensional Spaces is aimed at graduate students and researchers in mathematical and theoretical physics interested in the applications of the two-component spinor formalism in any four-dimensional vector space or Riemannian manifold with a definite or indefinite metric tensor. This systematic and self-contained book is suitable as a seminar text, a reference book, and a self-study guide. Reviews from the author's previous book, 3-D Spinors, Spin-Weighted Functions and their Applications: In summary???the book gathers much of what can be done with 3-D spinors in an easy-to-read, self-contained 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 easy-to-read and unconventional presentation of the spinor formalism for three-dimensional 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
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I06897 |
|
|
On Shelf |
|
|
|
|
|
15.
|
|
| 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 non-relativistic 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
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I06761 |
|
|
On Shelf |
|
|
|
|
|
16.
|
|
| 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 non-compact 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
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I06760 |
|
|
On Shelf |
|
|
|
|
|
17.
|
|
| 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 post-graduate 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
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I06654 |
|
|
On Shelf |
|
|
|
|
|
18.
|
|
| 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 Hamilton-Jacobi 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
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I06330 |
|
|
On Shelf |
|
|
|
|
|
19.
|
|
| 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 cutting-edge research poses a formidable challenge for students. The leap from the material contained in the standard graduate course sequence to the frontiers of M-theory, 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 first-year 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
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I06030 |
|
|
On Shelf |
|
|
|
|
|
20.
| |
| 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 non-perturbative 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 non-symmetric 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) 9719-9730 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
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I05477 |
|
|
On Shelf |
|
|
|
| |