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1 Campisi, Michele Lectures on the Mechanical Foundations of Thermodynamics I13288 2024 eBook  
2 Vacchini, Bassano Open Quantum Systems I13274 2024 eBook  
3 Qin, Yuming Prandtl Equations and Related Boundary Layer Equations I13249 2024 eBook  
4 Selinger, Jonathan V Introduction to Topological Defects and Solitons I13189 2024 eBook  
5 Papadopoulos, Nikolaos A Linear Algebra for Physics I13188 2024 eBook  
6 Fredenhagen, Stefan Introductory Lectures on Higher-Spin Theories I13149 2024 eBook  
7 Iurov, Andrii A Tutorial on the WKB Approximation for Innovative Dirac Materials I13135 2024 eBook  
8 Mohallem, Jos?? Rachid Lagrangian and Hamiltonian Mechanics I13037 2024 eBook  
9 Boskoff, Wladimir-Georges A Mathematical Journey to Relativity I13027 2024 eBook  
10 Hong, Soon-Tae BRST Symmetry and de Rham Cohomology I13019 2024 eBook  
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TitleLectures on the Mechanical Foundations of Thermodynamics
Author(s)Campisi, Michele
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXV, 114 p. 22 illus., 17 illus. in color : online resource
Abstract NoteThis book provides a modern pedagogical exposition of the mechanical approach to statistical mechanics initiated by Boltzmann with his early works (1866???1871). Despite the later contribution by Helmholtz, Boltzmann himself (1884???1887), Gibbs, P. Hertz, and Einstein, the mechanical approach remained almost unknown to the modern reader, in favour of the celebrated combinatorial approach, developed by Boltzmann himself during his probabilistic turn (1876???1884). The brief constitutes an ideal continuation of a graduate course of classical mechanics and requires knowledge of basic calculus in many dimensions (including differential forms), thermodynamics, and probability theory, besides Hamiltonian mechanics. The cornerstone of the whole presentation is the ergodic hypothesis. Special attention is devoted to Massieu potentials (the Legendre transforms of the entropy) which are most natural in statistical mechanics and also allow for a more direct treatment of the topic of ensemble equivalence. In this second edition, a chapter is added that addresses the long-debated question of how the second law of thermodynamics can be reconciled with mechanics, by taking advantage of modern methods of non-equilibrium statistical mechanics
ISBN,Price9783031570452
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Mathematical Methods in Physics 4. MATHEMATICAL PHYSICS 5. STATISTICAL PHYSICS 6. THERMODYNAMICS
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TitleOpen Quantum Systems : Foundations and Theory
Author(s)Vacchini, Bassano
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXXIV, 420 p. 53 illus., 48 illus. in color : online resource
Abstract NoteThe proposed book is a bridge between the foundations of quantum mechanics and the theory of open quantum systems. The treatment of open quantum systems is a rapidly growing subject, of interest to an ever-increasing number of scientists. The main focus is on overcoming the idealization of perfect isolation of a quantum system, so as to allow for a more realistic treatment and to provide the relevant background for the development of quantum technologies. The book is addressed to students and researchers in the field of open quantum systems and more generally quantum mechanics, a wide community of physicists, mathematicians, and chemists. It is devised both to enter the field and to prepare a series of lectures or a one-semester course on the topic
ISBN,Price9783031582189
Keyword(s)1. Computational Physics and Simulations 2. COMPUTER SIMULATION 3. EBOOK 4. EBOOK - SPRINGER 5. Mathematical Methods in Physics 6. MATHEMATICAL PHYSICS 7. QUANTUM PHYSICS
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TitlePrandtl Equations and Related Boundary Layer Equations
Author(s)Qin, Yuming;Dong, Xiaolei;Wang, Xiuqing
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2024.
DescriptionX, 373 p : online resource
Abstract NoteThis book aims to present some recent results on Prandtl equations and MHD boundary layer equations. This book is essentially divided into two parts. Chapter 1 as the first part systematically surveys the results till 2020 on Prandtl equations and MHD boundary layer equations. Chapter 2 to 6 are the main part of the book, which presents the local and the global well-posedness of solutions to the Prandtl equations and MHD boundary layer equations. In detail, Chapter 2 is concerned with global well-posedness of solutions to the 2D Prandtl-Hartmann equations in an analytic framework. Chapter 3 investigates the local existence of solutions to the 2D Prandtl equations in a weighted Sobolev space. Chapter 4 studies the local well-posedness of solutions to the 2D mixed Prandtl equations in a Sobolev space without monotonicity and lower bound. Chapter 5 is concerned with global existence of solutions to the 2D magnetic Prandtl equations in the Prandtl-Hartmann regime. Chapter 6 proves the local existence of solutions to the 3D Prandtl equations with a special structure. Mathematicians and physicists who are interested in fluid dynamics will find this book helpful
ISBN,Price9789819745654
Keyword(s)1. DIFFERENTIAL EQUATIONS 2. EBOOK 3. EBOOK - SPRINGER 4. FLUIDS 5. INTEGRAL EQUATIONS 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. Soft condensed matter
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TitleIntroduction to Topological Defects and Solitons : In Liquid Crystals, Magnets, and Related Materials
Author(s)Selinger, Jonathan V
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXIII, 213 p. 80 illus., 77 illus. in color : online resource
Abstract NoteThis textbook introduces topological defects and solitons at a level suitable for advanced undergraduates and beginning graduate students in physics and materials science. It avoids the formal mathematics of topology, and instead concentrates on the physical properties of these topological structures. The first half of the book concentrates on fundamental principles of defects and solitons, and illustrates these principles with a single example???the xy model for 2D magnetic order. It begins by defining the concept of a winding number, and uses this concept to describe the topology of defects (vortices or disclinations) and solitons (domain walls), carefully identifying the similarities and differences between these two types of topological structures. It then goes on to discuss physical properties of defects and solitons, including free energy, dynamics, statistical mechanics, and coupling with curvature. It shows how these concepts emerge from a theory with variable magnitude of order, and hence how topology can be viewed as an approximation to physics. The second half goes on to explore a wider range of topological defects and solitons. First, it considers more complex types of order???2D nematic liquid crystals, 3D magnetic or liquid-crystal order, 2D or 3D crystalline solids???and shows how each type of order leads to specific topological structures. Next, it discusses defects and solitons that are characterized by 2D or 3D measuring surfaces, not just 1D loops, including hedgehogs, skyrmions, and hopfions. These structures are more complex, but they can still be understood using the same fundamental principles. A final chapter describes the formation of phases with regular arrays of defects or solitons
ISBN,Price9783031702006
Keyword(s)1. CONDENSED MATTER 2. CONDENSED MATTER PHYSICS 3. DIFFERENTIAL EQUATIONS 4. EBOOK 5. EBOOK - SPRINGER 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. Soft condensed matter 9. Soft Materials
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TitleLinear Algebra for Physics
Author(s)Papadopoulos, Nikolaos A;Scheck, Florian
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2024.
DescriptionXVIII, 401 p. 24 illus : online resource
Abstract NoteThis textbook provides a full treatment of Linear Algebra devoted to undergraduate and graduate physics students. Although the mathematical level is similar to the corresponding mathematical textbooks in regard to definitions, propositions and proofs, it adopts a language and approach more attuned to the reader???s familiarity with physics lectures and physics textbooks. A distinctive feature is the emphasis placed on the significance of bases within a vector space. As a result, students gain a deeper understanding of how vector indices, despite their abundance, serve not as enemies but as friends since they give additional information about the mathematical objects being used, and facilitate access to tensor formalism. The book offers numerous worked examples and exercises with solution hints to deepen this knowledge
ISBN,Price9783031649080
Keyword(s)1. Algebras, Linear 2. EBOOK 3. EBOOK - SPRINGER 4. LINEAR ALGEBRA 5. Mathematical Methods in Physics 6. MATHEMATICAL PHYSICS
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TitleIntroductory Lectures on Higher-Spin Theories
Author(s)Fredenhagen, Stefan
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2024.
DescriptionXI, 456 p. 7 illus., 3 illus. in color : online resource
Abstract NoteThe book offers a pedagogical introduction to higher-spin gauge theories. These theories build upon fundamental gauge theories that are crucial for understanding core interactions. Electromagnetism and nuclear forces are associated with gauge fields of spin 1, while gravity can be conceptualized as a gauge theory of spin 2. This prompts the intriguing inquiry: do higher-spin gauge theories exist? Such theories would extend gravity, incorporating massless gauge fields of spins higher than two. They appear to bear connections to string theory and offer a captivating framework for exploring gravity and aspects of quantum gravity. The book initiates with a primer offering a comprehensive discussion on higher spins, delving into the challenges of establishing coherent interactions. It then explores methodologies to surmount these challenges within three-dimensional space-time. Furthermore, it investigates the emergence of asymptotic symmetry algebras, establishing links to a holographic dual conformal theory. The final chapter introduces Vasiliev???s approach to higher-spin gauge theory in four dimensions. Designed for advanced students and young researchers in theoretical physics and mathematical physics, the book aims to elucidate fundamental ideas, concepts, and tools underpinning higher-spin gauge theories. The inclusion of numerous exercises complements and illustrates the content, preparing readers for engagement with the subject's original literature and ongoing developments. To fully engage with the book's arguments, a prerequisite understanding of field theories and conventional gauge theories, including gravity, is assumed
ISBN,Price9783031596568
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Elementary particles (Physics) 4. Elementary Particles, Quantum Field Theory 5. Mathematical Methods in Physics 6. MATHEMATICAL PHYSICS 7. QUANTUM FIELD THEORY 8. Theoretical, Mathematical and Computational Physics
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TitleA Tutorial on the WKB Approximation for Innovative Dirac Materials : Graphene and Beyond
Author(s)Iurov, Andrii
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXIV, 383 p. 78 illus., 77 illus. in color : online resource
Abstract NoteThis textbook serves to supplement existing quantum mechanics courses with the WKB (Wentzel???Kramers???Brillouin) theory for recently discovered Dirac materials, such as graphene, a dice lattice, and alpha-T3 materials. This includes finding the semiclassical wave function, coordinate-dependent momentum, semiclassical action, the complete set of transport equations, and applicability conditions for the approximation. The discovery of graphene and its unique electronic behavior has transformed research in condensed matter physics over the last 10-15 years, but core curriculum in standard graduate-level physics courses still does not reflect these new developments and this book intends to close this gap. With a clear focus on various types of Dirac Hamiltonians, the multidimensional theory is only a small part of the book. The derivation of the WKB equations for novel Dirac materials and their applications to electron tunneling, turning points and classically forbidden regions, resonances and localized states, and many other crucial physical problems are methodically presented. This textbook aims to expand the existing approach to presenting the WKB approximation and covers recent developments in its applications. This book also includes many informative graphics, as well as problems and exercises with hints at the end of each chapter. Additional detailed mathematical derivations, as well as code in Mathematica, are added throughout the whole book. Ideal for graduate students and researchers in condensed matter physics, this textbook serves as a modern guide for learning the WKB theory
ISBN,Price9783031600654
Keyword(s)1. CONDENSED MATTER 2. EBOOK 3. EBOOK - SPRINGER 4. ELECTRONIC STRUCTURE 5. Electronic Structure Calculations 6. MATERIALS SCIENCE 7. Mathematical Methods in Physics 8. MATHEMATICAL PHYSICS 9. PHOTONIC CRYSTALS 10. QUANTUM CHEMISTRY 11. QUANTUM OPTICS 12. Two-dimensional Materials
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TitleLagrangian and Hamiltonian Mechanics : A Modern Approach with Core Principles and Underlying Topics
Author(s)Mohallem, Jos?? Rachid
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXI, 142 p. 23 illus., 2 illus. in color : online resource
Abstract NoteThis book serves as a textbook for an analytical mechanics course, a fundamental subject of physics, that pays special attention to important topics that are not discussed in most standard textbooks. Readers are provided with a clear understanding of topics that are usually inaccessible to the undergraduate level and that are critical to learning Lagrangian and Hamiltonian mechanics. Each chapter also includes worked problems and solutions, as well as additional exercises for readers to try. This book begins with the fundamentals of analytical mechanics, concisely introducing readers to the calculus of variations, Hamilton???s Principle, and Lagrange???s equations. While presenting readers with these core topics, the author uses an intuitive approach to delve into essential questions, such as where Galilean invariance lies in Lagrangian mechanics and how Hamilton???s Principle of Least Action encompasses Newton???s three laws, interesting conclusions that often go unnoticed. In fact, Hamilton???s principle is taken throughout as the very origin of classical physical laws, and the choice of appropriate Lagrangians in each case as the real theoretical challenge, meaning that forms of Lagrangian which differ from the standard one are not mere curiosities but, instead, the general rule. This book clarifies common misunderstandings that students face when learning the subject and formally rationalizes concepts that are often difficult to grasp. In addition, the final chapter provides an introduction to a Lagrangian field theory for those interested in learning more advanced topics. Ideal for upper undergraduate and graduate students, this book seeks to teach the intrinsic meaning of the principles and equations taught in an analytical mechanics course and convey their usefulness as powerful theoretical instruments of modern physics
ISBN,Price9783031552021
Keyword(s)1. CLASSICAL MECHANICS 2. EBOOK 3. EBOOK - SPRINGER 4. Mathematical Methods in Physics 5. MATHEMATICAL PHYSICS 6. MECHANICS 7. OPERATOR THEORY
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9.     
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TitleA Mathematical Journey to Relativity : Deriving Special and General Relativity with Basic Mathematics
Author(s)Boskoff, Wladimir-Georges;Capozziello, Salvatore
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2024.
DescriptionXXVI, 536 p. 49 illus., 16 illus. in color : online resource
Abstract NoteThe 2nd edition of this textbook features more than 100 pages of new material, including four new chapters, as well as an improved discussion of differential geometry concepts and their applications. The textbook aims to provide a comprehensive geometric description of Special and General Relativity, starting from basic Euclidean geometry to more advanced non-Euclidean geometry and differential geometry. Readers will learn about the Schwarzschild metric, the relativistic trajectory of planets, the deflection of light, the black holes, and the cosmological solutions like de Sitter, Friedman-Lema??tre-Robertson-Walker, and G??del ones, as well as the implications of each of them for the observed physical world. In addition, the book provides step-by-step solutions to problems and exercises, making it an ideal introduction for undergraduate students and readers looking to gain a better understanding of Special and General Relativity. In this new edition, a wide discussion on metric-affine theories of gravity and equivalent formulations of General Relativity is reported. The aim is presenting also topics which could be useful for PhD students and researchers studying General Relativity from an advanced point of view
ISBN,Price9783031548239
Keyword(s)1. DIFFERENTIAL GEOMETRY 2. EBOOK 3. EBOOK - SPRINGER 4. GENERAL RELATIVITY 5. GENERAL RELATIVITY (PHYSICS) 6. GEOMETRY, DIFFERENTIAL 7. Mathematical Methods in Physics 8. MATHEMATICAL PHYSICS 9. QUANTUM PHYSICS 10. SPECIAL RELATIVITY 11. Special relativity (Physics)
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TitleBRST Symmetry and de Rham Cohomology
Author(s)Hong, Soon-Tae
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2024.
DescriptionXII, 244 p. 4 illus : online resource
Abstract NoteThis book provides an advanced introduction to extended theories of quantum field theory and algebraic topology, including Hamiltonian quantization associated with some geometrical constraints, symplectic embedding and Hamilton-Jacobi quantization and Becchi-Rouet-Stora-Tyutin (BRST) symmetry, as well as de Rham cohomology. This extended new edition offers a multifaced insight into phenomenology of particles such as baryons and photons, in terms of extended objects. In particular, in the second edition, the baryons are described in hypersphere soliton model, and the photon properties are additionally included in stringy photon model and in Dirac type relativistic quantum mechanics for a photon. It offers a critical overview of the research in this area and unifies the existing literatures, employing a consistent notation. Although the results presented apply in principle to all alternative quantization schemes, special emphasis is placed on the BRST quantization and its de Rham cohomology group which contribute to a deep understanding of constrained physical theories. The book describes how solitons and other models subject to constraints include rigorous treatments of the geometrical constraints which affect the predictions themselves. The book is intended for use by any graduate-level student with quantum field and relativity theories, and it also serves as a useful reference for those working in the field. An extensive bibliography guides the reader toward the source literature on particular topics
ISBN,Price9789819709601
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Elementary particles (Physics) 4. Elementary Particles, Quantum Field Theory 5. Mathematical Methods in Physics 6. MATHEMATICAL PHYSICS 7. NUCLEAR PHYSICS 8. QUANTUM FIELD THEORY
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