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1 Soto-Eguibar, Francisco The Matrix Perturbation Method in Quantum Mechanics I12928 2023 eBook  
2 Weltner, Klaus Mathematics for Physicists and Engineers I12917 2023 eBook  
3 Liu, Zheng-Hao Exploring Quantum Contextuality with Photons I12907 2023 eBook  
4 Hari Dass, N. D Strings to Strings I12886 2023 eBook  
5 Kuridan, Ramadan M Neutron Transport I12838 2023 eBook  
6 Nahin, Paul J The Probability Integral I12823 2023 eBook  
7 Guzm??n, Francisco S Numerical Methods for Initial Value Problems in Physics I12813 2023 eBook  
8 Zhmakin, Alexander I Non-Fourier Heat Conduction I12781 2023 eBook  
9 Liang, Canbin Differential Geometry and General Relativity I12761 2023 eBook  
10 Scott, Robert B Problems and Solutions on Vector Spaces for Physicists I12756 2023 eBook  
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TitleThe Matrix Perturbation Method in Quantum Mechanics
Author(s)Soto-Eguibar, Francisco;Villegas-Mart??nez, Braulio Misael;Moya-Cessa, H??ctor Manuel
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionXV, 190 p. 39 illus., 34 illus. in color : online resource
Abstract NoteThis book provides an alternative approach to time-independent perturbation theory in non-relativistic quantum mechanics. It allows easy application to any initial condition because it is based on an approximation to the evolution operator and may also be used on unitary evolution operators for the unperturbed Hamiltonian in the case where the eigenvalues cannot be found. This flexibility sets it apart from conventional perturbation theory. The matrix perturbation method also gives new theoretical insights; for example, it provides corrections to the energy and wave function in one operation. Another notable highlight is the facility to readily derive a general expression for the normalization constant at m-th order, a significant difference between the approach within and those already in the literature. Another unique aspect of the matrix perturbation method is that it can be extended directly to the Lindblad master equation. The first and second-order corrections are obtained for this equation and the method is generalized for higher orders. An alternative form of the Dyson series, in matrix form instead of integral form, is also obtained. Throughout the book, several benchmark examples and practical applications underscore the potential, accuracy and good performance of this novel approach. Moreover, the method's applicability extends to some specific time-dependent Hamiltonians. This book represents a valuable addition to the literature on perturbation theory in quantum mechanics and is accessible to students and researchers alike
ISBN,Price9783031485466
Keyword(s)1. DIFFERENTIAL EQUATIONS 2. EBOOK - SPRINGER 3. Mathematical Methods in Physics 4. MATHEMATICAL PHYSICS 5. NUMERICAL ANALYSIS 6. QUANTUM OPTICS 7. QUANTUM PHYSICS
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TitleMathematics for Physicists and Engineers : Fundamentals and Interactive Study Guide
Author(s)Weltner, Klaus;John, S. T;Weber, Wolfgang J;Schuster, Peter;Grosjean, Jean
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2023.
DescriptionXX, 656 p. 592 illus., 4 illus. in color : online resource
Abstract NoteThis textbook takes physics and engineering undergraduates through the mathematics they need in the first years of study. It offers an accessible approach which is characterized by the combination of the textbook with a detailed study guide. This study guide, supplied as freely accessible downloads for each chapter, divides the whole learning task into small units. You will read and study a limited section of the textbook and then return to the study guide afterwards. Learning results are controlled, monitored and deepened by graded questions, exercises, repetitions and finally by problems and applications of the content studied. The degree of difficulty slowly rises, which will let you gain confidence and experience your own progress, thus fostering motivation. The sequence of studies can be individualized according to performance and can be regarded as a full tutorial course. This combination of a textbook with a detailed study guide is a powerful means to meet the rising importance of learning outside of lectures at home and will be of great benefit, especially to students learning remotely
ISBN,Price9783662660683
Keyword(s)1. Applications of Mathematics 2. Chemometrics 3. EBOOK - SPRINGER 4. ENGINEERING 5. ENGINEERING MATHEMATICS 6. Mathematical and Computational Engineering Applications 7. Mathematical Applications in Chemistry 8. Mathematical Methods in Physics 9. MATHEMATICAL PHYSICS 10. MATHEMATICS
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TitleExploring Quantum Contextuality with Photons
Author(s)Liu, Zheng-Hao
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2023.
DescriptionXXI, 156 p. 63 illus., 52 illus. in color : online resource
Abstract NoteThis thesis highlights research explorations in quantum contextuality with photons. Quantum contextuality is one of the most intriguing and peculiar predictions of quantum mechanics. It is also a cornerstone in modern quantum information science. It is the origin of the famous quantum nonlocality and various nonclassical paradoxes. It is also a resource for many quantum information processing tasks and even universal quantum computing. Therefore, the study of quantum contextuality not only advances the comprehension of the foundations of quantum physics, but also facilitates the practical applications of quantum information technology. In the last fifteen years, the study of quantum contextuality has developed from a purely theoretical level to a stage where direct experimental tests become amenable. However, the experimental research on contextuality at the current stage largely focuses on direct validations of some most famous predictions of contextuality, while other forms of contextuality and its practical applications in quantum information science are rarely involved. The research in this thesis is committed to bridge this gap from two directions: (1) to construct and test stronger forms of contextuality and relieve the requirements of contextuality experiments on experimental platforms, and (2) to explore the connections between contextuality and the other concepts in quantum information science and directly demonstrate the application of contextuality in broader scenarios. Specifically, the thesis have discussed the research topics about the relationship between quantum contextuality and nonlocality, the ???all-versus-nothing??? paradoxes from quantum contextuality, the ore- and post-selection paradoxes from quantum contextuality, and the topological protection and braiding dynamics of quantum contextuality in quasiparticle systems
ISBN,Price9789819961672
Keyword(s)1. ANGULAR MOMENTUM 2. Angular momentum of light 3. COMPUTER SIMULATION 4. EBOOK - SPRINGER 5. Fundamental concepts and interpretations of QM 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. OPTICS 9. Quantum computing 10. Quantum Correlation and Entanglement 11. QUANTUM ENTANGLEMENT 12. QUANTUM INFORMATION 13. QUANTUM PHYSICS 14. Quantum Simulations
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TitleStrings to Strings : Yang-Mills Flux Tubes, QCD Strings and Effective String Theories
Author(s)Hari Dass, N. D
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionXX, 464 p. 18 illus., 2 illus. in color : online resource
Abstract NoteThis book presents the essentials culminating in the effective string theory of flux tubes in meticulous technical and conceptual detail. The book is divided into four parts. Part One provides historical background, while Part Two (consisting of 14 chapters) covers the passage from Heisenberg's S-matrix theory to String Theory. This includes non-perturbative LSZ formalism, dispersion relations, Regge poles, duality and dual resonance models. Part Three offers a comprehensive analysis of QCD, focusing on important concepts like asymptotic freedom and quark confinement. The section also delves into lattice gauge theories and effective descriptions of superconductivity and strong interactions. Part Four, the final two chapters, describe the lattice gauge theory determinations of Yang-Mills flux tubes in three and four dimensions and effective string theories, including their systematic constructions. These chapters provide detailed technical information to help readers, especially students, develop their expertise in these ideas. This book is ideal for graduate students, postdocs, and senior researchers looking to deepen their understanding of effective string theory and related concepts
ISBN,Price9783031353581
Keyword(s)1. Classical and Quantum Gravity 2. EBOOK - SPRINGER 3. GRAVITATION 4. Mathematical Methods in Physics 5. MATHEMATICAL PHYSICS 6. Theoretical, Mathematical and Computational Physics
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TitleNeutron Transport : Theory, Modeling, and Computations
Author(s)Kuridan, Ramadan M
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionXII, 282 p. 109 illus., 21 illus. in color : online resource
Abstract NoteThis textbook provides a thorough explanation of the physical concepts and presents the general theory of different forms through approximations of the neutron transport processes in nuclear reactors and emphasize the numerical computing methods that lead to the prediction of neutron behavior. Detailed derivations and thorough discussions are the prominent features of this book unlike the brevity and conciseness which are the characteristic of most available textbooks on the subject where students find them difficult to follow. This conclusion has been reached from the experience gained through decades of teaching. The topics covered in this book are suitable for senior undergraduate and graduate students in the fields of nuclear engineering and physics. Other engineering and science students may find the construction and methodology of tackling problems as presented in this book appealing from which they can benefit in solving other problems numerically. The book provides access to a one dimensional, two energy group neutron diffusion program including a user manual, examples, and test problems for student practice. An option of a Matlab user interface is also available
ISBN,Price9783031269325
Keyword(s)1. Computational Mathematics and Numerical Analysis 2. EBOOK - SPRINGER 3. Mathematical Methods in Physics 4. MATHEMATICAL PHYSICS 5. MATHEMATICS 6. NUCLEAR PHYSICS
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TitleThe Probability Integral : Its Origin, Its Importance, and Its Calculation
Author(s)Nahin, Paul J
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionXXX, 189 p. 34 illus. in color : online resource
Abstract NoteThis book tells the story of the probability integral, the approaches to analyzing it throughout history, and the many areas of science where it arises. The so-called probability integral, the integral over the real line of a Gaussian function, occurs ubiquitously in mathematics, physics, engineering and probability theory. Stubbornly resistant to the undergraduate toolkit for handling integrals, calculating its value and investigating its properties occupied such mathematical luminaries as De Moivre, Laplace, Poisson, and Liouville. This book introduces the probability integral, puts it into a historical context, and describes the different approaches throughout history to evaluate and analyze it. The author also takes entertaining diversions into areas of math, science, and engineering where the probability integral arises: as well as being indispensable to probability theory and statistics, it also shows up naturally in thermodynamics and signal processing. Designed to be accessibleto anyone at the undergraduate level and above, this book will appeal to anyone interested in integration techniques, as well as historians of math, science, and statistics
ISBN,Price9783031384165
Keyword(s)1. EBOOK - SPRINGER 2. ENGINEERING MATHEMATICS 3. HISTORY 4. History of Mathematical Sciences 5. History of Statistics 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. MATHEMATICS 9. Measure and Integration 10. MEASURE THEORY 11. PROBABILITIES 12. PROBABILITY THEORY 13. Statistics??
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I12823     On Shelf    

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TitleNumerical Methods for Initial Value Problems in Physics
Author(s)Guzm??n, Francisco S
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2023.
DescriptionXIV, 357 p. 130 illus., 9 illus. in color : online resource
Abstract NoteThis textbook is a comprehensive overview of the construction, implementation, and application of important numerical methods for the solution of Initial Value Problems (IVPs). Beginning with IVPs involving Ordinary Differential Equations (ODEs) and progressing to problems with Partial Differential Equations (PDEs) in 1+1 and 3+1 dimensions, it provides readers with a clear and systematic progression from simple to complex concepts. The numerical methods selected in this textbook can solve a considerable variety of problems and the applications presented cover a wide range of topics, including population dynamics, chaos, celestial mechanics, geophysics, astrophysics, and more. Each chapter contains a variety of solved problems and exercises, with code included. These examples are designed to motivate and inspire readers to delve deeper into the state-of-the-art problems in their own fields. The code is written in Fortran 90, in a library-free style, making them easy to program and efficient to run. The appendix also includes the same code in C++, making the book accessible to a variety of programming backgrounds. At the end of each chapter, there are brief descriptions of how the methods could be improved, along with one or two projects that can be developed with the methods and codes described. These projects are highly engaging, from synchronization of chaos and message encryption to gravitational waves emitted by a binary system and non-linear absorption of a scalar field. With its clear explanations, hands-on approach, and practical examples, this textbook is an essential resource for advanced undergraduate and graduate students who want to the learn how to use numerical methods to tackle challenging problems
ISBN,Price9783031335563
Keyword(s)1. COMPLEX SYSTEMS 2. Computational Mathematics and Numerical Analysis 3. DIFFERENTIAL EQUATIONS 4. EBOOK - SPRINGER 5. Mathematical Methods in Physics 6. MATHEMATICAL PHYSICS 7. MATHEMATICS 8. SYSTEM THEORY
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TitleNon-Fourier Heat Conduction : From Phase-Lag Models to Relativistic and Quantum Transport
Author(s)Zhmakin, Alexander I
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionIX, 422 p. 1 illus : online resource
Abstract NoteThis book presents a broad and well-structured overview of various non-Fourier heat conduction models. The classical Fourier heat conduction model is valid for most macroscopic problems. However, it fails when the wave nature of the heat propagation becomes dominant and memory or non-local spatial effects become significant; e.g., during ultrafast heating, heat transfer at the nanoscale, in granular and porous materials, at extremely high values of the heat flux, or in heat transfer in biological tissues. The book looks at numerous non-Fourier heat conduction models that incorporate time non-locality for materials with memory, such as hereditary materials, including fractional hereditary materials, and/or spatial non-locality, i.e. materials with a non-homogeneous inner structure. Beginning with an introduction to classical transport theory, including phase-lag, phonon, and thermomass models, the book then looks at various aspects of relativistic and quantum transport, including approaches based on the Landauer formalism as well as the Green-Kubo theory of linear response. Featuring an appendix that provides an introduction to methods in fractional calculus, this book is a valuable resource for any researcher interested in theoretical and numerical aspects of complex, non-trivial heat conduction problems
ISBN,Price9783031259739
Keyword(s)1. Classical and Continuum Physics 2. EBOOK - SPRINGER 3. Engineering Thermodynamics, Heat and Mass Transfer 4. Heat engineering 5. HEAT TRANSFER 6. MASS TRANSFER 7. Mathematical Methods in Physics 8. MATHEMATICAL PHYSICS 9. PHYSICS 10. Soft and Granular Matter 11. Soft condensed matter 12. STATISTICAL PHYSICS 13. THERMODYNAMICS
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TitleDifferential Geometry and General Relativity : Volume 1
Author(s)Liang, Canbin;Zhou, Bin
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2023.
DescriptionXXX, 546 p. 179 illus., 2 illus. in color : online resource
Abstract NoteThis book, the first in a three-volume set, explains general relativity using the mathematical tool of differential geometry. The book consists of ten chapters, the first five of which introduce differential geometry, which is widely applicable even outside the field of relativity. Chapter 6 analyzes special relativity using geometric language. In turn, the last four chapters introduce readers to the fundamentals of general relativity. Intended for beginners, this volume includes numerous exercises and worked-out example in each chapter to facilitate the learning experience. Chiefly written for graduate-level courses, the book???s content will also benefit upper-level undergraduate students, and can be used as a reference guide for practicing theoretical physicists
ISBN,Price9789819900220
Keyword(s)1. Classical and Quantum Gravity 2. COSMOLOGY 3. DIFFERENTIAL GEOMETRY 4. EBOOK - SPRINGER 5. GEOMETRY, DIFFERENTIAL 6. GRAVITATION 7. Mathematical Methods in Physics 8. MATHEMATICAL PHYSICS
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TitleProblems and Solutions on Vector Spaces for Physicists : From Part I in Mathematical Physics???A Modern Introduction to Its Foundations
Author(s)Scott, Robert B
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2023.
DescriptionXV, 178 p. 2 illus : online resource
Abstract NoteThis book offers supporting material for the comprehensive textbook Mathematical Physics???A Modern Introduction to Its Foundations authored by Sadri Hassani. The book covers mathematical preliminaries and all of Part I in Hassani???s textbook. The subjects covered here include the key topics necessary for physicists to form a solid mathematical foundation: vectors and linear maps, algebras, operators, matrices, and spectral decomposition. In particular, the vector space concept is a central unifying theme in later chapters of Hassani???s textbook. Detailed solutions are provided to one third of the end-of-chapter exercises in the first six chapters of his text. The present volume helps upper-undergraduate and early postgraduate physics students deepen their understanding of the mathematics that they encounter in physics, learn physics more efficiently, and use mathematics with more confidence and creativity. The content is thus presented rigorously but remains accessible tophysics students. New exercises are also proposed, some with solutions, some without, so that the total number of unsolved exercises remains unchanged. They are chosen to help explain difficult concepts, amplify key points in Hassani's textbook, or make further connections with applications in physics. Taken together with Hassani's work, the two form a self-contained set and the solutions make detailed reference to Hassani's text. The solutions also refer to other mathematics and physics textbooks, providing entry points to further literature that finds a useful place in the physicist's personal library
ISBN,Price9783031312182
Keyword(s)1. Applications of Mathematics 2. EBOOK - SPRINGER 3. Mathematical Methods in Physics 4. MATHEMATICAL PHYSICS 5. MATHEMATICS 6. Theoretical, Mathematical and Computational Physics
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