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Author | Title | Accn# | Year | Item Type | Claims |
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Kenkre, V. M. (Nitant) |
Interplay of Quantum Mechanics and Nonlinearity |
I12518 |
2022 |
Book |
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| 2 |
Kenkre, V. M. (Nitant) |
Memory Functions, Projection Operators, and the Defect Technique |
I11741 |
2021 |
eBook |
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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
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12518 |
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On Shelf |
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2.
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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
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| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I11741 |
|
|
On Shelf |
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