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11 Kallosh, Renata Theoretical Frontiers in Black Holes and Cosmology I10395 2016 eBook  
12 Vaid, Deepak LQG for the Bewildered I10381 2017 eBook  
13 K??hler-Langes, Florian The Electron Mass and Calcium Isotope Shifts I10370 2017 eBook  
14 Vassiliev, Oleg N Monte Carlo Methods for Radiation Transport I10359 2017 eBook  
15 Prodan, Emil A Computational Non-commutative Geometry Program for Disordered Topological Insulators I10352 2017 eBook  
16 Choudhury, Balamati Refined Ray Tracing inside Single- and Double-Curvatured Concave Surfaces I10350 2016 eBook  
17 Timberlake, Todd Keene Classical Mechanics with Maxima I10330 2016 eBook  
18 Fan, Tian-You Mathematical Theory of Elasticity of Quasicrystals and Its Applications I10304 2016 eBook  
19 Shore, Graham The c and a-Theorems and the Local Renormalisation Group I10302 2017 eBook  
20 Stauffer, Dietrich From Newton to Mandelbrot I10301 2017 eBook  
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11.    
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TitleTheoretical Frontiers in Black Holes and Cosmology : Theoretical Perspective in High Energy Physics
Author(s)Kallosh, Renata;Orazi, Emanuele
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2016.
DescriptionIX, 252 p. 21 illus., 17 illus. in color : online resource
Abstract NoteThese lecture notes are dedicated to the most recent theoretical applications of Black Hole solutions in high-energy physics. The main motivation of this volume is to present the latest black hole backgrounds that are relevant for gauge/gravity correspondence. Leading scientists in the field explain effective techniques for finding singular and cosmological solutions embedded in gauged supergravity, shedding light on underlying properties and symmetries. Starting from a basic level, the mathematical structures underlying black holes and cosmologies are revealed, helping the reader grasp the connection between theoretical approaches and physical observations with insights into possible future developments from both a theoretical and experimental point of view. The topics covered in this volume are based on lectures delivered during the ???Theoretical Frontiers in Black Holes and Cosmology??? school, held in Natal in June 2015
ISBN,Price9783319313528
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. EBOOK 3. EBOOK - SPRINGER 4. GRAVITATION 5. Mathematical Methods in Physics 6. MATHEMATICAL PHYSICS 7. PHYSICS 8. Quantum Field Theories, String Theory 9. QUANTUM FIELD THEORY 10. STRING THEORY
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12.     
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TitleLQG for the Bewildered : The Self-Dual Approach Revisited
Author(s)Vaid, Deepak;Bilson-Thompson, Sundance
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2017.
DescriptionIX, 138 p. 16 illus., 4 illus. in color : online resource
Abstract NoteThis primer offers a concise introduction to Loop Quantum Gravity (LQG) - a theoretical framework for uniting Quantum Mechanics (QM) with General Relativity (GR). The emphasis is on the physical aspects of the framework and its historical development in terms of self-dual variables, still most suited for a first, pedagogical encounter with LQG. The text starts by reviewing GR and the very basics of Quantum Field Theory (QFT), and then explains in a concise and clear manner the steps leading from the Einstein-Hilbert action for gravity to the construction of the quantum states of geometry, known as spin-networks, and which provide the basis for the kinematical Hilbert space of quantum general relativity. Along the way the various associated concepts of tetrads, spin-connection and holonomies are introduced. Having thus provided a minimal introduction to the LQG framework, some applications to the problems of black hole entropy and of quantum cosmology are briefly surveyed. Last but not least, a list of the most common criticisms of LQG is presented, which are then tackled one by one in order to convince the reader of the physical viability of the theory. A set of appendices provides accessible introductions to several key notions such as the Peter-Weyl theorem, duality of differential forms and Regge calculus, among others. The presentation is aimed at graduate students and researchers who have some familiarity with the tools of QM and GR, but are intimidated by the technicalities required to browse through the existing LQG literature. This primer aims at making the formalism appear a little less bewildering to the uninitiated and helps lower the barrier for entry into the field
ISBN,Price9783319431840
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. EBOOK 3. EBOOK - SPRINGER 4. GRAVITATION 5. Mathematical Applications in the Physical Sciences 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. PHYSICS
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13.     
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TitleThe Electron Mass and Calcium Isotope Shifts : High-Precision Measurements of Bound-Electron g-Factors of Highly Charged Ions
Author(s)K??hler-Langes, Florian
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2017.
DescriptionXIV, 168 p. 69 illus., 24 illus. in color : online resource
Abstract NoteThis thesis presents the first isotope-shift measurement of bound-electron g-factors of highly charged ions and determines the most precise value of the electron mass in atomic mass units, which exceeds the value in the literature by a factor of 13. As the lightest fundamental massive particle, the electron is one of nature???s few central building blocks. A precise knowledge of its intrinsic properties, such as its mass, is mandatory for the most accurate tests in physics - the Quantum Electrodynamics tests that describe one of the four established fundamental interactions in the universe. The underlying measurement principle combines a high-precision measurement of the Larmor-to-cyclotron frequency ratio on a single hydrogen-like carbon ion studied in a Penning trap with very accurate calculations of the so-called bound-electron g-factor. Here, the g-factors of the valence electrons of two lithium-like calcium isotopes have been measured with relative uncertainties of a few 10^{-10}, constituting an as yet unrivaled level of precision for lithium-like ions. These calcium isotopes provide a unique system across the entire nuclear chart to test the pure relativistic nuclear recoil effect
ISBN,Price9783319508771
Keyword(s)1. Atomic structure???? 2. Atomic/Molecular Structure and Spectra 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. MATHEMATICAL PHYSICS 8. Molecular structure?? 9. QUANTUM FIELD THEORY 10. Theoretical, Mathematical and Computational Physics
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14.     
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TitleMonte Carlo Methods for Radiation Transport : Fundamentals and Advanced Topics
Author(s)Vassiliev, Oleg N
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2017.
DescriptionXVII, 281 p. 38 illus., 32 illus. in color : online resource
Abstract NoteThis book is a guide to the use of Monte Carlo techniques in radiation transport. This topic is of great interest for medical physicists. Praised as a "gold standard" for accurate radiotherapy dose calculations, Monte Carlo has stimulated a high level of research activity that has produced thousands of papers within the past few years. The book is designed primarily to address the needs of an academically inclined medical physicist who wishes to learn the technique, as well as experienced users of standard Monte Carlo codes who wish to gain insight into the underlying mathematics of Monte Carlo algorithms. The book focuses on the fundamentals???giving full attention to and explaining the very basic concepts. It also includes advanced topics and covers recent advances such as transport of charged particles in magnetic fields and the grid-based solvers of the Boltzmann equation
ISBN,Price9783319441412
Keyword(s)1. Biological and Medical Physics, Biophysics 2. BIOLOGICAL PHYSICS 3. BIOPHYSICS 4. Diagnostic Radiology 5. EBOOK 6. EBOOK - SPRINGER 7. Mathematical Applications in the Physical Sciences 8. MATHEMATICAL PHYSICS 9. Medical and Radiation Physics 10. Medical physics 11. Numerical and Computational Physics, Simulation 12. Particle acceleration 13. Particle Acceleration and Detection, Beam Physics 14. PHYSICS 15. RADIATION 16. Radiology
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15.     
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TitleA Computational Non-commutative Geometry Program for Disordered Topological Insulators
Author(s)Prodan, Emil
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2017.
DescriptionX, 118 p. 19 illus. in color : online resource
Abstract NoteThis work presents a computational program based on the principles of non-commutative geometry and showcases several applications to topological insulators. Noncommutative geometry has been originally proposed by Jean Bellissard as a theoretical framework for the investigation of homogeneous condensed matter systems. Recently, this approach has been successfully applied to topological insulators, where it facilitated many rigorous results concerning the stability of the topological invariants against disorder. In the first part of the book the notion of a homogeneous material is introduced and the class of disordered crystals defined together with the classification table, which conjectures all topological phases from this class. The manuscript continues with a discussion of electrons??? dynamics in disordered crystals and the theory of topological invariants in the presence of strong disorder is briefly reviewed. It is shown how all this can be captured in the language of noncommutative geometry using the concept of non-commutative Brillouin torus, and a list of known formulas for various physical response functions is presented. In the second part, auxiliary algebras are introduced and a canonical finite-volume approximation of the non-commutative Brillouin torus is developed. Explicit numerical algorithms for computing generic correlation functions are discussed. In the third part upper bounds on the numerical errors are derived and it is proved that the canonical-finite volume approximation converges extremely fast to the thermodynamic limit. Convergence tests and various applications concludes the presentation. The book is intended for graduate students and researchers in numerical and mathematical physics
ISBN,Price9783319550237
Keyword(s)1. CONDENSED MATTER 2. CONDENSED MATTER PHYSICS 3. EBOOK 4. EBOOK - SPRINGER 5. FUNCTIONAL ANALYSIS 6. K-THEORY 7. Mathematical Methods in Physics 8. MATHEMATICAL PHYSICS 9. PHYSICS
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16.     
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TitleRefined Ray Tracing inside Single- and Double-Curvatured Concave Surfaces
Author(s)Choudhury, Balamati;Jha, Rakesh Mohan
PublicationSingapore, 1. Imprint: Springer 2. Springer Singapore, 2016.
DescriptionXXIV, 61 p. 17 illus. in color : online resource
Abstract NoteThis book describes the ray tracing effects inside different quadric surfaces. Analytical surface modeling is a priori requirement for electromagnetic (EM) analysis over aerospace platforms. Although numerically-specified surfaces and even non-uniform rational basis spline (NURBS) can be used for modeling such surfaces, for most practical EM applications, it is sufficient to model them as quadric surface patches and the hybrids thereof. It is therefore apparent that a vast majority of aerospace bodies can be conveniently modeled as combinations of simpler quadric surfaces, i.e. hybrid of quadric cylinders and quadric surfaces of revolutions. Hence the analysis of geometric ray tracing inside is prerequisite to analyzing the RF build-up. This book, describes the ray tracing effects inside different quadric surfaces such as right circular cylinder, general paraboloid of revolution (GPOR), GPOR frustum of different shaping parameters and the corresponding visualization of the ray-path details. Finally ray tracing inside a typical space module, which is a hybrid of a finite segment of right circular cylinder and a frustum of GPOR is analyzed for practical aerospace applications
ISBN,Price9789812878083
Keyword(s)1. APPLIED MATHEMATICS 2. EBOOK 3. EBOOK - SPRINGER 4. ENGINEERING MATHEMATICS 5. LASERS 6. Mathematical and Computational Engineering 7. MATHEMATICAL PHYSICS 8. Optics, Lasers, Photonics, Optical Devices 9. PHOTONICS
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17.     
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TitleClassical Mechanics with Maxima
Author(s)Timberlake, Todd Keene;Mixon, J. Wilson
PublicationNew York, NY, 1. Imprint: Springer 2. Springer New York, 2016.
DescriptionXI, 258 p. 156 illus : online resource
Abstract NoteThis book guides undergraduate students in the use of Maxima???a computer algebra system???in solving problems in classical mechanics. It functions well as a supplement to a typical classical mechanics textbook. When it comes to problems that are too difficult to solve by hand, computer algebra systems that can perform symbolic mathematical manipulations are a valuable tool. Maxima is particularly attractive in that it is open-source, multiple-platform software that students can download and install free of charge. Lessons learned and capabilities developed using Maxima are easily transferred to other, proprietary software
ISBN,Price9781493932078
Keyword(s)1. ALGEBRA 2. CLASSICAL MECHANICS 3. Computational Mathematics and Numerical Analysis 4. Computer mathematics 5. EBOOK 6. EBOOK - SPRINGER 7. General Algebraic Systems 8. Mathematical Applications in the Physical Sciences 9. Mathematical Methods in Physics 10. MATHEMATICAL PHYSICS 11. MECHANICS 12. PHYSICS
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18.     
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TitleMathematical Theory of Elasticity of Quasicrystals and Its Applications
Author(s)Fan, Tian-You
PublicationSingapore, 1. Imprint: Springer 2. Springer Singapore, 2016.
DescriptionXVI, 452 p. 103 illus., 40 illus. in color : online resource
Abstract NoteThis interdisciplinary work on condensed matter physics, the continuum mechanics of novel materials, and partial differential equations, discusses the mathematical theory of elasticity and hydrodynamics of quasicrystals, as well as its applications. By establishing new partial differential equations of higher order and their solutions under complicated boundary value and initial value conditions, the theories developed here dramatically simplify the solution of complex elasticity problems. Comprehensive and detailed mathematical derivations guide readers through the work. By combining theoretical analysis and experimental data, mathematical studies and practical applications, readers will gain a systematic, comprehensive and in-depth understanding of condensed matter physics, new continuum mechanics and applied mathematics. This new edition covers the latest developments in quasicrystal studies. In particular, it pays special attention to the hydrodynamics, soft-matter quasicrystals, and the Poisson bracket method and its application in deriving hydrodynamic equations. These new sections make the book an even more useful and comprehensive reference guide for researchers working in Condensed Matter Physics, Chemistry and Materials Science
ISBN,Price9789811019845
Keyword(s)1. Amorphous substances 2. Characterization and Evaluation of Materials 3. Complex fluids 4. EBOOK 5. EBOOK - SPRINGER 6. MATERIALS SCIENCE 7. Mathematical Applications in the Physical Sciences 8. MATHEMATICAL PHYSICS 9. MECHANICS 10. Mechanics, Applied 11. Soft and Granular Matter, Complex Fluids and Microfluidics 12. Solid Mechanics 13. SOLID STATE PHYSICS
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19.     
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TitleThe c and a-Theorems and the Local Renormalisation Group
Author(s)Shore, Graham
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2017.
DescriptionVII, 102 p. 5 illus., 3 illus. in color : online resource
Abstract NoteThe Zamolodchikov c-theorem has led to important new insights in the understanding of the Renormalisation Group (RG) and the geometry of the space of QFTs. The present primer introduces and reviews the parallel developments of the search for a higher-dimensional generalisation of the c-theorem and of the Local RG (LRG). The idea of renormalisation with position-dependent couplings, running under local Weyl scaling, is traced from its early realisations to the elegant modern formalism of the LRG. The key r??le of the associated Weyl consistency conditions in establishing RG flow equations for the coefficients of the trace anomaly in curved spacetime, and their relation to the c-theorem and four-dimensional a-theorem, is explained in detail. A number of different derivations of the c-theorem in two dimensions are presented and subsequently generalised to four dimensions. The obstructions to establishing monotonic C-functions related to the trace anomaly coefficients in four dimensions are explained. The possibility of deriving an a-theorem for the coefficient of the Euler-Gauss-Bonnet density is explored, initially by formulating the QFT on maximally symmetric spaces. Then the formulation of the weak a-theorem using a dispersion relation for four-point functions is presented. Finally, the application of the LRG to the issue of limit cycles in theories with a global symmetry is described, shedding new light on the geometry of the space of couplings in QFT
ISBN,Price9783319540009
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Mathematical Methods in Physics 4. MATHEMATICAL PHYSICS 5. PHYSICS 6. Quantum Field Theories, String Theory 7. QUANTUM FIELD THEORY 8. STRING THEORY
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20.    
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TitleFrom Newton to Mandelbrot : A Primer in Theoretical Physics
Author(s)Stauffer, Dietrich;Stanley, H. Eugene;Lesne, Annick
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2017.
DescriptionXIV, 270 p. 84 illus : online resource
Abstract NoteThis textbook takes the reader on a tour of the most important landmarks of theoretical physics: classical, quantum, and statistical mechanics, relativity, electrodynamics, as well as the most modern and exciting of all: elementary particles and the physics of fractals. The second edition has been supplemented with a new chapter devoted to concise though complete presentation of dynamical systems, bifurcations and chaos theory. The treatment is confined to the essentials of each area, presenting all the central concepts and equations at an accessible level. Chapters 1 to 4 contain the standard material of courses in theoretical physics and are supposed to accompany lectures at the university; thus they are rather condensed. They are supposed to fill one year of teaching. Chapters 5 and 6, in contrast, are written less condensed since this material may not be part of standard lectures and thus could be studied without the help of a university teacher. An appendix on elementary particles lies somewhere in between: It could be a summary of a much more detailed course, or studied without such a course. Illustrations and numerous problems round off this unusual textbook. It will ideally accompany the students all along their course in theoretical physics and prove indispensable in preparing and revising the exams. It is also suited as a reference for teachers or scientists from other disciplines who are interested in the topic
ISBN,Price9783662536858
Keyword(s)1. CLASSICAL ELECTRODYNAMICS 2. CLASSICAL MECHANICS 3. COMPLEX SYSTEMS 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. ELECTRODYNAMICS 8. Elementary particles (Physics) 9. Elementary Particles, Quantum Field Theory 10. MATHEMATICAL PHYSICS 11. MECHANICS 12. OPTICS 13. QUANTUM FIELD THEORY 14. SOLID STATE PHYSICS 15. STATISTICAL PHYSICS 16. Theoretical, Mathematical and Computational Physics
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