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Author  Title  Accn#  Year  Item Type  Claims 
1 
Saller, Heinrich 
Operational Symmetries 
I10249 
2017 
eBook 

2 
Schwichtenberg, Jakob 
Physics from Symmetry 
I09443 
2018 
eBook 

3 
Cassinelli, Gianni 
The Theory of Symmetry Actions in Quantum Mechanics 
I11185 
2004 
eBook 

4 
Ali, Syed T 
Coherent States, Wavelets and Their Generalizations 
I10838 
2000 
eBook 

5 
Teodorescu, Petre P 
Applications of the Theory of Groups in Mechanics and Physics 
I10502 
2004 
eBook 

6 
CarowWatamura, Ursula 
Quantum Field Theory and Noncommutative Geometry 
I08223 
2005 
eBook 

7 
Unterberger, J??r??mie 
The Schr??dingerVirasoro Algebra 
I08215 
2012 
eBook 

8 
Schwichtenberg, Jakob 
Physics from Symmetry 
I08072 
2015 
eBook 

9 
Torres del Castillo, Gerardo F 
Spinors in FourDimensional Spaces 
I06897 
2010 
eBook 

10 
Saller, Heinrich 
Operational Quantum Theory I 
I06761 
2006 
eBook 


1.


Title  Operational Symmetries : Basic Operations in Physics 
Author(s)  Saller, Heinrich 
Publication  Cham, Springer International Publishing, 2017. 
Description  XI, 574 p : online resource 
Abstract Note  This book describes the endeavour to relate the particle spectrum with representations of operational electroweak spacetime, in analogy to the atomic spectrum as characterizing representations of hyperbolic space. The spectrum of hyperbolic position space explains the properties of the nonrelativistic atoms; the spectrum of electroweak spacetime is hoped to explain those of the basic interactions and elementary particles. In this book, the theory of operational symmetries is developed from the numbers, from Plato???s and Kepler???s symmetries over the simple Lie groups to their applications in nonrelativistic, special relativistic and general relativistic quantum theories with the atomic spectrum for hyperbolic position and, in first attempts, the particle spectrum for electroweak spacetime. The standard model of elementary particles and interactions is characterized by a symmetry group. In general, as initiated by Weyl and stressed by Heisenberg, quantum theory can be built as a theory of operation groups and their unitary representations. In such a framework, time, position and spacetime is modeled by equivalence classes of symmetry groups. For a unification on this road, the quest is not for a final theory with a basic equation for basic particles, but for the basic operation group and its representations. 
ISBN,Price  9783319586649 
Keyword(s)  1. Classical and Quantum Gravitation, Relativity Theory
2. EBOOK
3. EBOOK  SPRINGER
4. GRAVITATION
5. LIE GROUPS
6. Mathematical Methods in Physics
7. MATHEMATICAL PHYSICS
8. PHYSICS
9. QUANTUM PHYSICS
10. TOPOLOGICAL GROUPS
11. Topological Groups, Lie Groups

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Call#  Status  Issued To  Return Due On  Physical Location 
I10249 


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2.


Title  Physics from Symmetry 
Author(s)  Schwichtenberg, Jakob 
Publication  Cham, Springer International Publishing, 2018. 
Description  XXI, 287 p. 28 illus., 15 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 selfcontained 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. Thanks to the input of readers from around the world, this second edition has been purged of typographical errors and also contains several revised sections with improved explanations.?? 
ISBN,Price  9783319666310 
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

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Call#  Status  Issued To  Return Due On  Physical Location 
I09443 


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3.


Title  The Theory of Symmetry Actions in Quantum Mechanics : with an Application to the Galilei Group 
Author(s)  Cassinelli, Gianni;Vito, Ernesto;Levrero, Alberto;Lahti, Pekka J 
Publication  Berlin, Heidelberg, Springer Berlin Heidelberg, 2004. 
Description  XII, 111 p : online resource 
Abstract Note  This is a book about representing symmetry in quantum mechanics. The book is on a graduate and/or researcher level and it is written with an attempt to be concise, to respect conceptual clarity and mathematical rigor. The basic structures of quantum mechanics are used to identify the automorphism group of quantum mechanics. The main concept of a symmetry action is defined as a group homomorphism from a given group, the group of symmetries, to the automorphism group of quantum mechanics. The structure of symmetry actions is determined under the assumption that the symmetry group is a Lie group. The Galilei invariance is used to illustrate the general theory by giving a systematic presentation of a Galilei invariant elementary particle. A brief description of the Galilei invariant wave equations is also given 
ISBN,Price  9783540445098 
Keyword(s)  1. EBOOK
2. EBOOK  SPRINGER
3. GROUP THEORY
4. Group Theory and Generalizations
5. LIE GROUPS
6. Mathematical Methods in Physics
7. PHYSICS
8. QUANTUM PHYSICS
9. TOPOLOGICAL GROUPS
10. Topological Groups, Lie Groups

Item Type  eBook 
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Call#  Status  Issued To  Return Due On  Physical Location 
I11185 


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4.


Title  Coherent States, Wavelets and Their Generalizations 
Author(s)  Ali, Syed T;Antoine, JP;Gazeau, JeanPerre 
Publication  New York, NY, Springer New York, 2000. 
Description  XIII, 418 p : online resource 
Abstract Note  Nitya kaaler utshab taba Bishyeridipaalika Aami shudhu tarimateer pradeep Jaalao tahaar shikhaa 1  Tagore Should authors feel compelled to justify the writing of yet another book? In an overpopulated world, should parents feel compelled to justify bringing forth yet another child? Perhaps not! But an act of creation is also an act of love, and a love story can always be happily shared. In writing this book, it has been our feeling that, in all of the wealth of material on coherent states and wavelets, there exists a lack of a discern?? able, unifying mathematical perspective. The use of wavelets in research and technology has witnessed explosive growth in recent years, while the use of coherent states in numerous areas of theoretical and experimental physics has been an established trend for decades. Yet it is not at all un?? common to find practitioners in either one of the two disciplines who are hardly aware of one discipline's links to the other. Currently, many books are on the market that treat the subject of wavelets from a wide range of perspectives and with windows on one or several areas of a large spectrum IThine is an eternal celebration '" A cosmic Festival of Lights! '" Therein I am a mere flicker of a wicker lamp, , . 0 kindle its flame (my Master!), vi Preface of possible applications 
ISBN,Price  9781461212584 
Keyword(s)  1. EBOOK
2. EBOOK  SPRINGER
3. LIE GROUPS
4. QUANTUM COMPUTERS
5. Quantum Information Technology, Spintronics
6. QUANTUM PHYSICS
7. SPINTRONICS
8. TOPOLOGICAL GROUPS
9. Topological Groups, Lie Groups

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Call#  Status  Issued To  Return Due On  Physical Location 
I10838 


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5.


Title  Applications of the Theory of Groups in Mechanics and Physics 
Author(s)  Teodorescu, Petre P;Nicorovici, NicolaeA.P 
Publication  Dordrecht, Springer Netherlands, 2004. 
Description  XIV, 446 p. 17 illus : online resource 
Abstract Note  The notion of group is fundamental in our days, not only in mathematics, but also in classical mechanics, electromagnetism, theory of relativity, quantum mechanics, theory of elementary particles, etc. This notion has developed during a century and this development is connected with the names of great mathematicians as E. Galois, A. L. Cauchy, C. F. Gauss, W. R. Hamilton, C. Jordan, S. Lie, E. Cartan, H. Weyl, E. Wigner, and of many others. In mathematics, as in other sciences, the simple and fertile ideas make their way with difficulty and slowly; however, this long history would have been of a minor interest, had the notion of group remained connected only with rather restricted domains of mathematics, those in which it occurred at the beginning. But at present, groups have invaded almost all mathematical disciplines, mechanics, the largest part of physics, of chemistry, etc. We may say, without exaggeration, that this is the most important idea that occurred in mathematics since the invention of infinitesimal calculus; indeed, the notion of group expresses, in a precise and operational form, the vague and universal ideas of regularity and symmetry. The notion of group led to a profound understanding of the character of the laws which govern natural phenomena, permitting to formulate new laws, correcting certain inadequate formulations and providing unitary and non?? contradictory formulations for the investigated phenomena 
ISBN,Price  9781402020476 
Keyword(s)  1. Applications of Mathematics
2. APPLIED MATHEMATICS
3. EBOOK
4. EBOOK  SPRINGER
5. ENGINEERING MATHEMATICS
6. Heavy ions
7. LIE GROUPS
8. MATHEMATICAL PHYSICS
9. NUCLEAR PHYSICS
10. Nuclear Physics, Heavy Ions, Hadrons
11. PARTIAL DIFFERENTIAL EQUATIONS
12. Theoretical, Mathematical and Computational Physics
13. TOPOLOGICAL GROUPS
14. Topological Groups, Lie Groups

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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I10502 


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6.


Title  Quantum Field Theory and Noncommutative Geometry 
Author(s)  CarowWatamura, 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 qdeformed 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

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Call#  Status  Issued To  Return Due On  Physical Location 
I08223 


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7.


Title  The Schr??dingerVirasoro 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 uptodate and selfcontained presentation of a recently discovered mathematical structure???the Schr??dingerVirasoro algebra. Just as Poincar?? invariance or conformal (Virasoro) invariance play a key role in understanding, respectively, elementary particles and twodimensional equilibrium statistical physics, this algebra of nonrelativistic conformal symmetries may be expected to apply itself naturally to the study of some models of nonequilibrium statistical physics, or more specifically in the context of recent developments related to the nonrelativistic AdS/CFT correspondence. ?? The study of the structure of this infinitedimensional 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 infinitedimensional 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

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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I08215 


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8.


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 selfcontained 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 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I08072 


On Shelf 




9.


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

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I06897 


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10.
 
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

Item Type  eBook 
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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I06761 


On Shelf 



 