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Author  Title  Accn#  Year  Item Type  Claims 
1 
SotoEguibar, Francisco 
The Matrix Perturbation Method in Quantum Mechanics 
I12928 
2023 
eBook 

2 
Moradi, Afshin 
Theory of Electrostatic Waves in Hyperbolic Metamaterials 
I12920 
2023 
eBook 

3 
Rozhansky, Vladimir 
Plasma Theory 
I12911 
2023 
eBook 

4 
Guzm??n, Francisco S 
Numerical Methods for Initial Value Problems in Physics 
I12813 
2023 
eBook 

5 
Mart??nezGuerra, Rafael 
An Approach to Multiagent Systems as a Generalized Multisynchronization Problem 
I12674 
2023 
eBook 

6 
Isozaki, Hiroshi 
ManyBody Schr??dinger Equation 
I12665 
2023 
eBook 

7 
Luo, Albert C. J 
TwoDimensional Quadratic Nonlinear Systems 
I12627 
2023 
eBook 

8 
Blossey, Ralf 
The PoissonBoltzmann Equation 
I12614 
2023 
eBook 

9 
Kenkre, V. M. (Nitant) 
Interplay of Quantum Mechanics and Nonlinearity 
I12518 
2022 
Book 

10 
Helal, Mohamed Atef 
Solitons 
I12321 
2022 
Book 


1.


Title  The Matrix Perturbation Method in Quantum Mechanics 
Author(s)  SotoEguibar, Francisco;VillegasMart??nez, Braulio Misael;MoyaCessa, H??ctor Manuel 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2023. 
Description  XV, 190 p. 39 illus., 34 illus. in color : online resource 
Abstract Note  This book provides an alternative approach to timeindependent perturbation theory in nonrelativistic 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 mth 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 secondorder 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 timedependent 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,Price  9783031485466 
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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2.


Title  Theory of Electrostatic Waves in Hyperbolic Metamaterials 
Author(s)  Moradi, Afshin 
Publication  Cham, 1. Imprint: Springer
2. Springer Nature Switzerland, 2023. 
Description  XIII, 229 p. 92 illus., 88 illus. in color : online resource 
Abstract Note  This book covers electrostatic properties of hyperbolic metamaterials (HMMs), a fascinating class of metamaterials which combine dielectric and metal components. Due to the hyperbolic topology of the isofrequency surface in HMMs, the socalled resonance cone direction exists, and as a result, propagation of quasielectrostatic waves, or more commonly, electrostatic waves close to the resonance cone with large wave vectors, is possible. However, the investigation of electrostatic wave properties in HMMs is largely overlooked in most works on the subject, and the purpose of this monograph is to fill this gap. This book gives a thorough theoretical treatment of propagation, reflection, and refraction of electrostatic waves in HMMs of various dimensions and geometries. It will be of interest to students and researchers who work on electrical and optical properties of metamaterials 
ISBN,Price  9783031485961 
Keyword(s)  1. CLASSICAL ELECTRODYNAMICS
2. DIFFERENTIAL EQUATIONS
3. EBOOK  SPRINGER
4. ELECTRODYNAMICS
5. Metamaterials
6. Nanophotonics
7. Nanophotonics and Plasmonics
8. PHOTONIC CRYSTALS
9. Plasmonics

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I12920 


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3.


Title  Plasma Theory : An Advanced Guide for Graduate Students 
Author(s)  Rozhansky, Vladimir 
Publication  Cham, 1. Imprint: Springer
2. Springer Nature Switzerland, 2023. 
Description  XI, 363 p. 108 illus., 11 illus. in color : online resource 
Abstract Note  This textbook, based on the author???s classroomtested lecture course, helps graduate students master the advanced plasma theory needed to unlock results at the forefront of current research. It is structured around a two semester course, beginning with kinetic theory and transport processes, while the second semester is devoted to plasma dynamics, including MHD theory, equilibrium, and stability. More advanced problems such as neoclassical theory, stochastization of the magnetic field lines, and edge plasma physics are also considered, and each chapter ends with an illustrative example which demonstrates a concrete application of the theory. The distinctive feature of this book is that, unlike most other advanced plasma science texts, phenomena in both low and high temperature plasma are considered simultaneously so that theory of slightly ionized and fully ionized plasmas is presented holistically. This book will therefore be ideal as a classroom text or selfstudy guide for a wide cohort of graduate students working in different areas like nuclear fusion, gas discharge physics, low temperature plasma applications, astrophysics, and more. It is also a useful reference for more seasoned researchers 
ISBN,Price  9783031444869 
Keyword(s)  1. CLASSICAL ELECTRODYNAMICS
2. DIFFERENTIAL EQUATIONS
3. EBOOK  SPRINGER
4. Electric power production
5. ELECTRODYNAMICS
6. Engineering Fluid Dynamics
7. FLUID MECHANICS
8. Mechanical Power Engineering
9. PLASMA (IONIZED GASES)
10. PLASMA PHYSICS
11. Surfaces (Technology)
12. Surfaces, Interfaces and Thin Film
13. THIN FILMS

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I12911 


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4.


Title  Numerical Methods for Initial Value Problems in Physics 
Author(s)  Guzm??n, Francisco S 
Publication  Cham, 1. Imprint: Springer
2. Springer Nature Switzerland, 2023. 
Description  XIV, 357 p. 130 illus., 9 illus. in color : online resource 
Abstract Note  This 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 stateoftheart problems in their own fields. The code is written in Fortran 90, in a libraryfree 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 nonlinear absorption of a scalar field. With its clear explanations, handson 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,Price  9783031335563 
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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Call#  Status  Issued To  Return Due On  Physical Location 
I12813 


On Shelf 




5.


Title  An Approach to Multiagent Systems as a Generalized Multisynchronization Problem 
Author(s)  Mart??nezGuerra, Rafael;FloresFlores, Juan Pablo 
Publication  Cham, 1. Imprint: Springer
2. Springer Nature Switzerland, 2023. 
Description  XX, 208 p. 77 illus., 72 illus. in color : online resource 
Abstract Note  This book addresses the problem of multiagent systems, considering that it can be interpreted as a generalized multisynchronization problem. From manufacturing tasks, through encryption and communication algorithms, to highprecision experiments, the simultaneous cooperation between multiple systems or agents is essential to successfully carrying out different modern activities, both in academy and industry. For example, the coordination of multiple assembler robots in manufacturing lines. These agents need to synchronize. The first two chapters of the book describe the synchronization of dynamical systems, paying special attention to the synchronization of nonidentical systems. Following, the third chapter presents an interesting application of the synchronization phenomenon for state estimation. Subsequently, the authors fully address the multiagent problem interpreted as multisynchronization. The final chapters introduce the reader to a more complex problem, the synchronization of systems governed by partial differential equations, both of integer and fractional order. The book aimed at graduates, postgraduate students and researchers closely related to the area of automatic control. Previous knowledge of linear algebra, classical and fractional calculus is requested, as well as some fundamental notions of graph theory 
ISBN,Price  9783031226694 
Keyword(s)  1. COMPLEX SYSTEMS
2. Control and Systems Theory
3. Control engineering
4. DIFFERENTIAL EQUATIONS
5. EBOOK  SPRINGER
6. STOCHASTIC PROCESSES
7. Stochastic Systems and Control
8. SYSTEM THEORY

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Call#  Status  Issued To  Return Due On  Physical Location 
I12674 


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6.


Title  ManyBody Schr??dinger Equation : Scattering Theory and Eigenfunction Expansions 
Author(s)  Isozaki, Hiroshi 
Publication  Singapore, 1. Imprint: Springer
2. Springer Nature Singapore, 2023. 
Description  XVII, 399 p. 10 illus : online resource 
Abstract Note  Spectral properties for Schr??dinger operators are a major concern in quantum mechanics both in physics and in mathematics. For the fewparticle systems, we now have sufficient knowledge for twobody systems, although much less is known about Nbody systems. The asymptotic completeness of timedependent wave operators was proved in the 1980s and was a landmark in the study of the Nbody problem. However, many problems are left open for the stationary Nparticle equation. Due to the recent rapid development of computer power, it is now possible to compute the threebody scattering problem numerically, in which the stationary formulation of scattering is used. This means that the stationary theory for Nbody Schr??dinger operators remains an important problem of quantum mechanics. It is stressed here that for the threebody problem, we have a satisfactory stationary theory. This book is devoted to the mathematical aspects of the Nbody problem from both the timedependent and stationary viewpoints. The main themes are: (1) The Mourre theory for the resolvent of selfadjoint operators (2) Twobody Schr??dinger operators???Timedependent approach and stationary approach (3) Timedependent approach to Nbody Schr??dinger operators (4) Eigenfunction expansion theory for threebody Schr??dinger operators Compared with existing books for the manybody problem, the salient feature of this book consists in the stationary scattering theory (4). The eigenfunction expansion theorem is the physical basis of Schr??dinger operators. Recently, it proved to be the basis of inverse problems of quantum scattering. This book provides necessary background information to understand the physical and mathematical basis of Schr??dinger operators and standard knowledge for future development. 
ISBN,Price  9789819937042 
Keyword(s)  1. DIFFERENTIAL EQUATIONS
2. EBOOK  SPRINGER
3. FUNCTIONAL ANALYSIS
4. MATHEMATICAL PHYSICS
5. QUANTUM PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I12665 


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7.


Title  TwoDimensional Quadratic Nonlinear Systems : Volume I: Univariate Vector Fields 
Author(s)  Luo, Albert C. J 
Publication  Singapore, 1. Imprint: Springer
2. Springer Nature Singapore, 2023. 
Description  XIII, 685 p. 121 illus., 84 illus. in color : online resource 
Abstract Note  This book focuses on the nonlinear dynamics based on the vector fields with univariate quadratic functions. This book is a unique monograph for twodimensional quadratic nonlinear systems. It provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems. Such a twodimensional dynamical system is one of simplest dynamical systems in nonlinear dynamics, but the local and global structures of equilibriums and flows in such twodimensional quadratic systems help us understand other nonlinear dynamical systems, which is also a crucial step toward solving the Hilbert???s sixteenth problem. Possible singular dynamics of the twodimensional quadratic systems are discussed in detail. The dynamics of equilibriums and onedimensional flows in twodimensional systems are presented. Saddlesink and saddlesource bifurcations are discussed, and saddlecenter bifurcations are presented. The infiniteequilibrium states are switching bifurcations for nonlinear systems. From the first integral manifolds, the saddlecenter networks are developed, and the networks of saddles, source, and sink are also presented. This book serves as a reference book on dynamical systems and control for researchers, students, and engineering in mathematics, mechanical, and electrical engineering 
ISBN,Price  9789811678738 
Keyword(s)  1. Applied Dynamical Systems
2. COMPLEX SYSTEMS
3. Control and Systems Theory
4. Control engineering
5. DIFFERENTIAL EQUATIONS
6. DYNAMICAL SYSTEMS
7. DYNAMICS
8. EBOOK  SPRINGER
9. NONLINEAR THEORIES
10. SYSTEM THEORY

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I12627 


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8.


Title  The PoissonBoltzmann Equation : An Introduction 
Author(s)  Blossey, Ralf 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2023. 
Description  XIV, 101 p. 20 illus., 16 illus. in color : online resource 
Abstract Note  This brief book introduces the PoissonBoltzmann equation in three chapters that build upon one another, offering a systematic entry to advanced students and researchers. Chapter one formulates the equation and develops the linearized version of DebyeH??ckel theory as well as exact solutions to the nonlinear equation in simple geometries and generalizations to higherorder equations. Chapter two introduces the statistical physics approach to the PoissonBoltzmann equation. It allows the treatment of fluctuation effects, treated in the loop expansion, and in a variational approach. First applications are treated in detail: the problem of the surface tension under the addition of salt, a classic problem discussed by Onsager and Samaras in the 1930s, which is developed in modern terms within the loop expansion, and the adsorption of a charged polymer on a likecharged surface within the variational approach. Chapter three finally discusses the extension of PoissonBoltzmann theory to explicit solvent. This is done in two ways: on the phenomenological level of nonlocal electrostatics and with a statistical physics model that treats the solvent molecules as molecular dipoles. This model is then treated in the meanfield approximation and with the variational method introduced in Chapter two, rounding up the development of the mathematical approaches of PoissonBoltzmann theory. After studying this book, a graduate student will be able to access the research literature on the PoissonBoltzmann equation with a solid background. 
ISBN,Price  9783031247828 
Keyword(s)  1. DIFFERENTIAL EQUATIONS
2. EBOOK  SPRINGER
3. Electrochemistry
4. STATISTICAL PHYSICS
5. Surfaces (Technology)
6. Surfaces, Interfaces and Thin Film
7. THIN FILMS

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Call#  Status  Issued To  Return Due On  Physical Location 
I12614 


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9.


Title  Interplay of Quantum Mechanics and Nonlinearity : Understanding SmallSystem Dynamics of the Discrete Nonlinear Schr??dinger Equation 
Author(s)  Kenkre, V. M. (Nitant) 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2022. 
Description  XXVI, 310 p. 114 illus., 34 illus. in color : online resource 
Abstract Note  This book presents an indepth study of the discrete nonlinear Schr??dinger equation (DNLSE), with particular emphasis on spatially small systems that permit analytic solutions. In many quantum systems of contemporary interest, the DNLSE arises as a result of approximate descriptions despite the fundamental linearity of quantum mechanics. Such scenarios, exemplified by polaron physics and BoseEinstein condensation, provide application areas for the theoretical tools developed in this text. The book begins with an introduction of the DNLSE illustrated with the dimer, development of fundamental analytic tools such as elliptic functions, and the resulting insights into experiment that they allow. Subsequently, the interplay of the initial quantum phase with nonlinearity is studied, leading to novel phenomena with observable implications in fields such as fluorescence depolarization of stick dimers, followed by analysis of more complex and/or larger systems. Specific examples analyzed in the book include the nondegenerate nonlinear dimer, nonlinear trapping, rotational polarons, and the nonadiabatic nonlinear dimer. Phenomena treated include strong carrierphonon interactions and BoseEinstein condensation. This book is aimed at researchers and advanced graduate students, with chapter summaries and problems to test the reader???s understanding, along with an extensive bibliography. The book will be essential reading for researchers in condensed matter and lowtemperature atomic physics, as well as any scientist who wants fascinating insights into the role of nonlinearity in quantum physics 
ISBN,Price  9783030948115 
Keyword(s)  1. BoseEinstein Condensate
2. BOSEEINSTEIN CONDENSATION
3. DIFFERENTIAL EQUATIONS
4. DYNAMICAL SYSTEMS
5. EBOOK
6. EBOOK  SPRINGER
7. Electronic materials
8. Electronics???Materials
9. MATHEMATICAL PHYSICS
10. QUANTUM PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I12518 


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10.
 
Title  Solitons 
Author(s)  Helal, Mohamed Atef 
Publication  New York, NY, 1. Imprint: Springer
2. Springer US, 2022. 
Description  151 illus., 112 illus. in color. eReference : online resource 
Abstract Note  This newly updated volume of the Encyclopedia of Complexity and Systems Science (ECSS) presents several mathematical models that describe this physical phenomenon, including the famous nonlinear equation KortewegdeVries (KdV) that represents the canonical form of solitons. Also, there exists a class of nonlinear partial differential equations that led to solitons, e.g., KadomtsevPetviashvili (KP), KleinGordon (KG), SineGordon (SG), NonLinear Schr??dinger (NLS), KortewegdeVries Burger???s (KdVB), etc. Different linear mathematical methods can be used to solve these models analytically, such as the Inverse Scattering Transformation (IST), Adomian Decomposition Method, Variational Iteration Method (VIM), Homotopy Analysis Method (HAM) and Homotopy Perturbation Method (HPM). Other nonanalytic methods use the computational techniques available in such popular mathematical packages as Mathematica, Maple, and MATLAB. The main purpose of this volume is to provide physicists, engineers, and their students with the proper methods and tools to solve the soliton equations, and to discover the new possibilities of using solitons in multidisciplinary areas ranging from telecommunications to biology, cosmology, and oceanographic studies 
ISBN,Price  9781071624579 
Keyword(s)  1. DIFFERENTIAL EQUATIONS
2. EBOOK
3. EBOOK  SPRINGER
4. Engineering Fluid Dynamics
5. ENVIRONMENTAL PHYSICS
6. ENVIRONMENTAL SCIENCES
7. FLUID MECHANICS
8. Mathematical Methods in Physics
9. MATHEMATICAL PHYSICS
10. PHYSICS
11. PLASMA WAVES
12. Waves, instabilities and nonlinear plasma dynamics

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Call#  Status  Issued To  Return Due On  Physical Location 
I12321 


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