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Click the serial number on the left to view the details of the item. |
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Author | Title | Accn# | Year | Item Type | Claims |
1 |
Mohallem, Jos?? Rachid |
Lagrangian and Hamiltonian Mechanics |
I13037 |
2024 |
eBook |
|
2 |
Veliev, Oktay |
Multidimensional Periodic Schr??dinger Operator |
I12979 |
2024 |
eBook |
|
3 |
Kenkre, V. M. (Nitant) |
Memory Functions, Projection Operators, and the Defect Technique |
I11741 |
2021 |
eBook |
|
4 |
Hiai, Fumio |
Quantum f-Divergences in von Neumann Algebras |
I11715 |
2021 |
eBook |
|
5 |
de Gosson, Maurice A |
Born-Jordan Quantization |
I10290 |
2016 |
eBook |
|
6 |
Cicogna, Giampaolo |
Exercises and Problems in Mathematical Methods of Physics |
I09803 |
2018 |
eBook |
|
7 |
Cicogna, Giampaolo |
Exercises and Problems in Mathematical Methods of Physics |
I08828 |
2020 |
eBook |
|
8 |
Hamhalter, J |
Quantum Measure Theory |
I10731 |
2003 |
eBook |
|
9 |
Verbeure, Andr?? F |
Many-Body Boson Systems |
I06898 |
2011 |
eBook |
|
10 |
Exner, Pavel |
Quantum Waveguides |
I06456 |
2015 |
eBook |
|
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1.
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Title | Lagrangian and Hamiltonian Mechanics : A Modern Approach with Core Principles and Underlying Topics |
Author(s) | Mohallem, Jos?? Rachid |
Publication | Cham, 1. Imprint: Springer
2. Springer Nature Switzerland, 2024. |
Description | XI, 142 p. 23 illus., 2 illus. in color : online resource |
Abstract Note | This 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,Price | 9783031552021 |
Keyword(s) | 1. CLASSICAL MECHANICS
2. EBOOK
3. EBOOK - SPRINGER
4. Mathematical Methods in Physics
5. MATHEMATICAL PHYSICS
6. MECHANICS
7. OPERATOR THEORY
|
Item Type | eBook |
Multi-Media Links
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Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I13037 |
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On Shelf |
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2.
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Title | Multidimensional Periodic Schr??dinger Operator : Perturbation Theories for High Energy Regions and Their Applications |
Author(s) | Veliev, Oktay |
Publication | Cham, 1. Imprint: Springer
2. Springer International Publishing, 2024. |
Description | XIII, 411 p. 1 illus : online resource |
Abstract Note | This book describes the direct and inverse problems of the multidimensional Schr??dinger operator with a periodic potential, a topic that is especially important in perturbation theory, constructive determination of spectral invariants and finding the periodic potential from the given Bloch eigenvalues. It provides a detailed derivation of the asymptotic formulas for Bloch eigenvalues and Bloch functions in arbitrary dimensions while constructing and estimating the measure of the iso-energetic surfaces in the high-energy regime. Moreover, it presents a unique method proving the validity of the Bethe???Sommerfeld conjecture for arbitrary dimensions and arbitrary lattices. Using the perturbation theory constructed, it determines the spectral invariants of the multidimensional operator from the given Bloch eigenvalues. Some of these invariants are explicitly expressed by the Fourier coefficients of the potential, making it possible to determine the potential constructively using Bloch eigenvalues as input data. Lastly, the book presents an algorithm for the unique determination of the potential. This updated and significantly expanded third edition features an extension of this framework to all dimensions, offering a now complete theory of self-adjoint Schr??dinger operators within periodic potentials. Drawing from recent advancements in mathematical analysis, this edition delves even deeper into the intricacies of the subject. It explores the connections between the multidimensional Schr??dinger operator, periodic potentials, and other fundamental areas of mathematical physics. The book's comprehensive approach equips both students and researchers with the tools to tackle complex problems and contribute to the ongoing exploration of quantum phenomena |
ISBN,Price | 9783031490354 |
Keyword(s) | 1. CONDENSED MATTER
2. CONDENSED MATTER PHYSICS
3. DIFFERENTIAL EQUATIONS
4. EBOOK
5. EBOOK - SPRINGER
6. MATHEMATICAL PHYSICS
7. OPERATOR THEORY
8. QUANTUM PHYSICS
|
Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I12979 |
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On Shelf |
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3.
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Title | Memory Functions, Projection Operators, and the Defect Technique : Some Tools of the Trade for the Condensed Matter Physicist |
Author(s) | Kenkre, V. M. (Nitant) |
Publication | Cham, Springer International Publishing, 2021. |
Description | XXII, 374 p. 83 illus., 2 illus. in color : online resource |
Abstract Note | This book provides a graduate-level introduction to three powerful and closely related techniques in condensed matter physics: memory functions, projection operators, and the defect technique. Memory functions appear in the formalism of the generalized master equations that express the time evolution of probabilities via equations non-local in time, projection operators allow the extraction of parts of quantities, such as the diagonal parts of density matrices in statistical mechanics, and the defect technique allows solution of transport equations in which the translational invariance is broken in small regions, such as when crystals are doped with impurities. These three methods combined form an immensely useful toolkit for investigations in such disparate areas of physics as excitation in molecular crystals, sensitized luminescence, charge transport, non-equilibrium statistical physics, vibrational relaxation, granular materials, NMR, and even theoretical ecology. This book explains the three techniques and their interrelated nature, along with plenty of illustrative examples. Graduate students beginning to embark on a research project in condensed matter physics will find this book to be a most fruitful source of theoretical training. |
ISBN,Price | 9783030686673 |
Keyword(s) | 1. Chemistry, Physical and theoretical
2. CONDENSED MATTER
3. CONDENSED MATTER PHYSICS
4. EBOOK
5. EBOOK - SPRINGER
6. Mathematical Methods in Physics
7. MATHEMATICAL PHYSICS
8. OPERATOR THEORY
9. STATISTICAL PHYSICS
10. THEORETICAL CHEMISTRY
|
Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I11741 |
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On Shelf |
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4.
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Title | Quantum f-Divergences in von Neumann Algebras : Reversibility of Quantum Operations |
Author(s) | Hiai, Fumio |
Publication | Singapore, Springer Nature Singapore, 2021. |
Description | X, 194 p. 139 illus : online resource |
Abstract Note | Relative entropy has played a significant role in various fields of mathematics and physics as the quantum version of the Kullback???Leibler divergence in classical theory. Many variations of relative entropy have been introduced so far with applications to quantum information and related subjects. Typical examples are three different classes, called the standard, the maximal, and the measured f-divergences, all of which are defined in terms of (operator) convex functions f on (0,???) and have respective mathematical and information theoretical backgrounds. The ??-R??nyi relative entropy and its new version called the sandwiched ??-R??nyi relative entropy have also been useful in recent developments of quantum information. In the first half of this monograph, the different types of quantum f-divergences and the R??nyi-type divergences mentioned above in the general von Neumann algebra setting are presented for study. While quantum information has been developing mostly in the finite-dimensional setting, it is widely believed that von Neumann algebras provide the most suitable framework in studying quantum information and related subjects. Thus, the advance of quantum divergences in von Neumann algebras will be beneficial for further development of quantum information. Quantum divergences are functions of two states (or more generally, two positive linear functionals) on a quantum system and measure the difference between the two states. They are often utilized to address such problems as state discrimination, error correction, and reversibility of quantum operations. In the second half of the monograph, the reversibility/sufficiency theory for quantum operations (quantum channels) between von Neumann algebras via quantum f-divergences is explained, thus extending and strengthening Petz' previous work. For the convenience of the reader, an appendix including concise accounts of von Neumann algebras is provided |
ISBN,Price | 9789813341999 |
Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. FUNCTIONAL ANALYSIS
4. MATHEMATICAL PHYSICS
5. OPERATOR THEORY
6. Quantum computing
7. QUANTUM INFORMATION
|
Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I11715 |
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On Shelf |
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6.
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Title | Exercises and Problems in Mathematical Methods of Physics |
Author(s) | Cicogna, Giampaolo |
Publication | Cham, Springer International Publishing, 2018. |
Description | X, 182 p. 8 illus : online resource |
Abstract Note | This book presents exercises and problems in the mathematical methods of physics with the aim of offering undergraduate students an alternative way to explore and fully understand the mathematical notions on which modern physics is based. The exercises and problems are proposed not in a random order but rather in a sequence that maximizes their educational value. Each section and subsection starts with exercises based on first definitions, followed by groups of problems devoted to intermediate and, subsequently, more elaborate situations. Some of the problems are unavoidably "routine", but others bring to the forenontrivial properties that are often omitted or barely mentioned in textbooks. There are also problems where the reader is guided to obtain important results that are usually stated in textbooks without complete proofs. In all, some 350 solved problems covering all mathematical notions useful to physics are included. While the book is intended primarily for undergraduate students of physics, students of mathematics, chemistry, and engineering, as well as their teachers, will also find it of value. |
ISBN,Price | 9783319761657 |
Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. FOURIER ANALYSIS
4. Functions of a Complex Variable
5. FUNCTIONS OF COMPLEX VARIABLES
6. GROUP THEORY
7. Group Theory and Generalizations
8. INTEGRAL TRANSFORMS
9. Integral Transforms, Operational Calculus
10. Mathematical Methods in Physics
11. Operational calculus
12. OPERATOR THEORY
13. PHYSICS
|
Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I09803 |
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On Shelf |
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7.
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Title | Exercises and Problems in Mathematical Methods of Physics |
Author(s) | Cicogna, Giampaolo |
Publication | Cham, Springer International Publishing, 2020. |
Description | XII, 218 p. 9 illus : online resource |
Abstract Note | This book is the second edition, whose original mission was to offer a new approach for students wishing to better understand the mathematical tenets that underlie the study of physics. This mission is retained in this book. The structure of the book is one that keeps pedagogical principles in mind at every level. Not only are the chapters sequenced in such a way as to guide the reader down a clear path that stretches throughout the book, but all individual sections and subsections are also laid out so that the material they address becomes progressively more complex along with the reader's ability to comprehend it. This book not only improves upon the first in many details, but it also fills in some gaps that were left open by this and other books on similar topics. The 350 problems presented here are accompanied by answers which now include a greater amount of detail and additional guidance for arriving at the solutions. In this way, the mathematical underpinnings of the relevant physics topics are made as easy to absorb as possible. |
ISBN,Price | 9783030594725 |
Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. FOURIER ANALYSIS
4. Functions of a Complex Variable
5. FUNCTIONS OF COMPLEX VARIABLES
6. GROUP THEORY
7. Group Theory and Generalizations
8. INTEGRAL TRANSFORMS
9. Integral Transforms, Operational Calculus
10. Mathematical Methods in Physics
11. Operational calculus
12. OPERATOR THEORY
13. PHYSICS
|
Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I08828 |
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On Shelf |
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10.
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Title | Quantum Waveguides |
Author(s) | Exner, Pavel;Kova????k, Hynek |
Publication | Cham, Springer International Publishing, 2015. |
Description | XXII, 382 p. 9 illus., 3 illus. in color : online resource |
Abstract Note | This monograph explains the theory of quantum waveguides, that is, dynamics of quantum particles confined to regions in the form of tubes, layers, networks, etc. The focus is on relations between the confinement geometry on the one hand and the spectral and scattering properties of the corresponding quantum Hamiltonians on the other. Perturbations of such operators, in particular, by external fields are also considered. The volume provides a unique summary of twenty five years of research activity in this area and indicates ways in which the theory can develop further. The book is fairly self-contained. While it requires some broader mathematical physics background, all the basic concepts are properly explained and proofs of most theorems are given in detail, so there is no need for additional sources. Without a parallel in the literature, the monograph by Exner and Kovarik guides the reader through this new and exciting field |
ISBN,Price | 9783319185767 |
Keyword(s) | 1. DIFFERENTIAL EQUATIONS
2. EBOOK
3. EBOOK - SPRINGER
4. Mathematical Methods in Physics
5. MATHEMATICAL PHYSICS
6. OPERATOR THEORY
7. ORDINARY DIFFERENTIAL EQUATIONS
8. PHYSICS
9. QUANTUM PHYSICS
10. Theoretical, Mathematical and Computational Physics
|
Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
I06456 |
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On Shelf |
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