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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Soto-Eguibar, 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??nez-Guerra, Rafael |
An Approach to Multi-agent Systems as a Generalized Multi-synchronization Problem |
I12674 |
2023 |
eBook |
|
| 6 |
Isozaki, Hiroshi |
Many-Body Schr??dinger Equation |
I12665 |
2023 |
eBook |
|
| 7 |
Luo, Albert C. J |
Two-Dimensional Quadratic Nonlinear Systems |
I12627 |
2023 |
eBook |
|
| 8 |
Blossey, Ralf |
The Poisson-Boltzmann 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 |
|
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1.
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| Title | The Matrix Perturbation Method in Quantum Mechanics |
| Author(s) | Soto-Eguibar, Francisco;Villegas-Mart??nez, Braulio Misael;Moya-Cessa, 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 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,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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| Item Type | eBook |
Multi-Media Links
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| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12928 |
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On Shelf |
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2.
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| 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 so-called resonance cone direction exists, and as a result, propagation of quasi-electrostatic 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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| Item Type | eBook |
Multi-Media Links
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Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12920 |
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On Shelf |
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3.
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| 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 classroom-tested 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 self-study 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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| Item Type | eBook |
Multi-Media Links
media link description
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12911 |
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On Shelf |
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4.
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| 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 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,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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| Item Type | eBook |
Multi-Media Links
media link description
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12813 |
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On Shelf |
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5.
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| Title | An Approach to Multi-agent Systems as a Generalized Multi-synchronization Problem |
| Author(s) | Mart??nez-Guerra, Rafael;Flores-Flores, 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 multi-agent systems, considering that it can be interpreted as a generalized multi-synchronization problem. From manufacturing tasks, through encryption and communication algorithms, to high-precision 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 non-identical systems. Following, the third chapter presents an interesting application of the synchronization phenomenon for state estimation. Subsequently, the authors fully address the multi-agent problem interpreted as multi-synchronization. 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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| Item Type | eBook |
Multi-Media Links
media link description
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12674 |
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On Shelf |
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6.
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| Title | Many-Body 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 few-particle systems, we now have sufficient knowledge for two-body systems, although much less is known about N-body systems. The asymptotic completeness of time-dependent wave operators was proved in the 1980s and was a landmark in the study of the N-body problem. However, many problems are left open for the stationary N-particle equation. Due to the recent rapid development of computer power, it is now possible to compute the three-body scattering problem numerically, in which the stationary formulation of scattering is used. This means that the stationary theory for N-body Schr??dinger operators remains an important problem of quantum mechanics. It is stressed here that for the three-body problem, we have a satisfactory stationary theory. This book is devoted to the mathematical aspects of the N-body problem from both the time-dependent and stationary viewpoints. The main themes are: (1) The Mourre theory for the resolvent of self-adjoint operators (2) Two-body Schr??dinger operators???Time-dependent approach and stationary approach (3) Time-dependent approach to N-body Schr??dinger operators (4) Eigenfunction expansion theory for three-body Schr??dinger operators Compared with existing books for the many-body 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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| Item Type | eBook |
Multi-Media Links
media link description
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12665 |
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On Shelf |
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7.
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| Title | Two-Dimensional 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 two-dimensional quadratic nonlinear systems. It provides different points of view about nonlinear dynamics and bifurcations of the quadratic dynamical systems. Such a two-dimensional dynamical system is one of simplest dynamical systems in nonlinear dynamics, but the local and global structures of equilibriums and flows in such two-dimensional 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 two-dimensional quadratic systems are discussed in detail. The dynamics of equilibriums and one-dimensional flows in two-dimensional systems are presented. Saddle-sink and saddle-source bifurcations are discussed, and saddle-center bifurcations are presented. The infinite-equilibrium states are switching bifurcations for nonlinear systems. From the first integral manifolds, the saddle-center 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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| Item Type | eBook |
Multi-Media Links
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Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12627 |
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On Shelf |
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8.
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| Title | The Poisson-Boltzmann 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 Poisson-Boltzmann 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 Debye-H??ckel theory as well as exact solutions to the nonlinear equation in simple geometries and generalizations to higher-order equations. Chapter two introduces the statistical physics approach to the Poisson-Boltzmann 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 like-charged surface within the variational approach. Chapter three finally discusses the extension of Poisson-Boltzmann 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 mean-field approximation and with the variational method introduced in Chapter two, rounding up the development of the mathematical approaches of Poisson-Boltzmann theory. After studying this book, a graduate student will be able to access the research literature on the Poisson-Boltzmann 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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| Item Type | eBook |
Multi-Media Links
media link description
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12614 |
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On Shelf |
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9.
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| Title | Interplay of Quantum Mechanics and Nonlinearity : Understanding Small-System 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 in-depth 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 Bose-Einstein 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 carrier-phonon interactions and Bose-Einstein 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 low-temperature 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. Bose-Einstein Condensate
2. BOSE-EINSTEIN 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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| Item Type | Book |
Multi-Media Links
Please Click here for eBook
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| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12518 |
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On Shelf |
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10.
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| 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 non-linear equation Korteweg-de-Vries (KdV) that represents the canonical form of solitons. Also, there exists a class of nonlinear partial differential equations that led to solitons, e.g., Kadomtsev-Petviashvili (KP), Klein-Gordon (KG), Sine-Gordon (SG), Non-Linear Schr??dinger (NLS), Korteweg-de-Vries 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 non-analytic 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 multi-disciplinary 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
|
| Item Type | Book |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12321 |
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On Shelf |
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