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Mathematical Physics Of Quantum Wires And Devices

Author: N.E. Hurt
Publisher: Springer Science & Business Media
ISBN: 9401596263
Size: 12.71 MB
Format: PDF
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This monograph on quantum wires and quantum devices is a companion vol ume to the author's Quantum Chaos and Mesoscopic Systems (Kluwer, Dordrecht, 1997). The goal of this work is to present to the reader the mathematical physics which has arisen in the study of these systems. The course which I have taken in this volume is to juxtapose the current work on the mathematical physics of quantum devices and the details behind the work so that the reader can gain an understanding of the physics, and where possible the open problems which re main in the development of a complete mathematical description of the devices. I have attempted to include sufficient background and references so that the reader can understand the limitations of the current methods and have direction to the original material for the research on the physics of these devices. As in the earlier volume, the monograph is a panoramic survey of the mathe matical physics of quantum wires and devices. Detailed proofs are kept to a min imum, with outlines of the principal steps and references to the primary sources as required. The survey is very broad to give a general development to a variety of problems in quantum devices, not a specialty volume.

Introduction To Quantum Graphs

Author: Gregory Berkolaiko
Publisher: American Mathematical Soc.
ISBN: 0821892118
Size: 49.62 MB
Format: PDF, ePub, Mobi
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A ``quantum graph'' is a graph considered as a one-dimensional complex and equipped with a differential operator (``Hamiltonian''). Quantum graphs arise naturally as simplified models in mathematics, physics, chemistry, and engineering when one considers propagation of waves of various nature through a quasi-one-dimensional (e.g., ``meso-'' or ``nano-scale'') system that looks like a thin neighborhood of a graph. Works that currently would be classified as discussing quantum graphs have been appearing since at least the 1930s, and since then, quantum graphs techniques have been applied successfully in various areas of mathematical physics, mathematics in general and its applications. One can mention, for instance, dynamical systems theory, control theory, quantum chaos, Anderson localization, microelectronics, photonic crystals, physical chemistry, nano-sciences, superconductivity theory, etc. Quantum graphs present many non-trivial mathematical challenges, which makes them dear to a mathematician's heart. Work on quantum graphs has brought together tools and intuition coming from graph theory, combinatorics, mathematical physics, PDEs, and spectral theory. This book provides a comprehensive introduction to the topic, collecting the main notions and techniques. It also contains a survey of the current state of the quantum graph research and applications.

Topics In Quantum Mechanics

Author: Floyd Williams
Publisher: Springer Science & Business Media
ISBN: 1461200091
Size: 49.45 MB
Format: PDF, ePub
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This self-contained text presents quantum mechanics from the point of view of some computational examples with a mixture of mathematical clarity often not found in texts offering only a purely physical point of view. Emphasis is placed on the systematic application of the Nikiforov-- Uvarov theory of generalized hypergeometric differential equations to solve the Schr"dinger equation and to obtain the quantization of energies from a single unified point of view.

Frontiers In Physics

Author: Muhamad Rasat Muhamad
Publisher: American Inst. of Physics
ISBN: 9780735406872
Size: 55.12 MB
Format: PDF, Kindle
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This volume covers a range of exciting frontier issues in physics. It involves new development within the broad spectrum of physics and the associated technical application. The collection of papers in this volume allows the readers to explore and review the scientific status of developments at the frontiers of the various fields of physics.

Books In Print

Author: R.R. Bowker Company
Publisher:
ISBN:
Size: 36.16 MB
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Books in print is the major source of information on books currently published and in print in the United States. The database provides the record of forthcoming books, books in-print, and books out-of-print.