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Heisenberg’s Uncertainty Principle and the Electron Statistics in Quantized Structures

Heisenberg’s Uncertainty Principle and the Electron Statistics in Quantized Structures
Author: Kamakhya Prasad Ghatak
Publisher: Springer Nature
Total Pages: 253
Release: 2022-03-25
Genre: Science
ISBN: 9811698449

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This book highlights the importance of Electron Statistics (ES), which occupies a singular position in the arena of solid state sciences, in heavily doped (HD) nanostructures by applying Heisenberg’s Uncertainty Principle directly without using the complicated Density-of-States function approach as given in the literature. The materials considered are HD quantum confined nonlinear optical, III-V, II-VI, IV-VI, GaP, Ge, PtSb2, stressed materials, GaSb, Te, II-V, Bi2Te3, lead germanium telluride, zinc and cadmium diphosphides, and quantum confined III-V, IV-VI, II-VI and HgTe/CdTe super-lattices with graded interfaces and effective mass super-lattices. The presence of intense light waves in optoelectronics and strong electric field in nano-devices change the band structure of materials in fundamental ways, which have also been incorporated in the study of ES in HD quantized structures of optoelectronic compounds that control the studies of the HD quantum effect devices under strong fields. The influence of magnetic quantization, magneto size quantization, quantum wells, wires and dots, crossed electric and quantizing fields, intense electric field, and light waves on the ES in HD quantized structures and superlattices are discussed. The content of this book finds six different applications in the arena of nano-science and nanotechnology and the various ES dependent electronic quantities, namely the effective mass, the screening length, the Einstein relation and the elastic constants have been investigated. This book is useful for researchers, engineers and professionals in the fields of Applied Sciences, solid state and materials science, nano-science and technology, condensed matter physics, and allied fields, including courses in semiconductor nanostructures. ​


Quantum Capacitance In Quantized Transistors

Quantum Capacitance In Quantized Transistors
Author: Kamakhya Prasad Ghatak
Publisher: World Scientific
Total Pages: 886
Release: 2024-02-06
Genre: Science
ISBN: 9811279411

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In recent years, there has been considerable interest in studying the quantum capacitance (QC) in 2D quantum MOSFETs (QMOSFET) and 1D Nano Wire FET (NWFET) devices of various technologically important materials which find extensive applications in many directions in low dimensional electronics. The 2D and 1D electron statistics in inversion layers of MOSFETs can rather easily be varied by changing the gate voltage which, in turn, brings a change of the surface electric field, the QC depends on the gate-voltage. This first-of-its-kind book deals solely with the QC in 2D MOSFETs of non-linear optical, ternary, quaternary, III-V compounds, II-VI, IV-VI, stressed Kane type, Ge, GaP, Bismuth telluride, Gallium Antimonide and their 1D NWFETs counter parts. The influence of quantizing magnetic field, crossed electric and magnetic fields, parallel magnetic field, have also been considered on the QC of the said devices of the aforementioned materials. The influences of strong light waves and ultra-strong electric field present in nano-devices have also been considered. The accumulation layers of the quantum effect devices of the said materials have also been discussed in detail by formulating the respective dispersion relations of the heavily doped compounds. The QC in 1D MOSFET of the said materials have also been investigated in this context on the basis of newly formulated electron energy spectra in all the cases. The QC in quantum well transistors and magneto quantum well transistors together with CNTFETs have been formulated and discussed in detail along with I-V equations of ballistic QWFETs and NWFETs together with their heavily doped counter parts under different external physical conditions. In this context, experimental determinations are suggested of the Einstein relation for the Diffusivity-Mobility ratio, the Debye screening length, Elastic Constants and the content of this book finds twenty-two different applications in the arena of nanoscience and nanotechnology.This book contains hundred open research problems which form the integral part of the text and are useful for both PhD aspirants and researchers.


Generation, Detection and Processing of Terahertz Signals

Generation, Detection and Processing of Terahertz Signals
Author: Aritra Acharyya
Publisher: Springer Nature
Total Pages: 367
Release: 2021-09-21
Genre: Technology & Engineering
ISBN: 9811649472

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This book contains detailed descriptions and associated discussions regarding different generation, detection and signal processing techniques for the electrical and optical signals within the THz frequency spectrum (0.3–10 THz). It includes detailed reviews of some recently developed electronic and photonic devices for generating and detecting THz waves, potential materials for implementing THz passive circuits, some newly developed systems and methods associated with THz wireless communication, THz antennas and some cutting-edge techniques associated with the THz signal and image processing. The book especially focuses on the recent advancements and several research issues related to THz sources, detectors and THz signal and image processing techniques; it also discusses theoretical, experimental, established and validated empirical works on these topics. The book caters to a very wide range of readers from basic science to technological experts as well as students.


Uncertainty Principle of Werner Heisenberg

Uncertainty Principle of Werner Heisenberg
Author: IntroBooks Team
Publisher: IntroBooks
Total Pages:
Release:
Genre: Science
ISBN:

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Quantum mechanics is widely considered to be the scientific theory that is one's best choice for the fundamental and universal explanation of the physical world. The conceptual structure used in this theory varies dramatically from that of classical physics. After all, the transition from classical to quantum physics is a true revolution in people's understanding of the physical universe. One striking feature of the distinction between classical and quantum physics is that while classical mechanics assumes that precise simultaneous values can be assigned to all physical quantities, quantum mechanics, on the other hand, rejects this possibility, the classic example being the momentum and position of a particle.


The Physical Principles of the Quantum Theory

The Physical Principles of the Quantum Theory
Author: Werner Heisenberg
Publisher: Courier Corporation
Total Pages: 212
Release: 1949-01-01
Genre: Science
ISBN: 9780486601137

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Nobel Laureate discusses quantum theory, uncertainty, wave mechanics, work of Dirac, Schroedinger, Compton, Einstein, others. "An authoritative statement of Heisenberg's views on this aspect of the quantum theory." ? Nature.


Power Of Alpha, The: Electron Elementary Particle Generation With Alpha-quantized Lifetimes And Masses

Power Of Alpha, The: Electron Elementary Particle Generation With Alpha-quantized Lifetimes And Masses
Author: Malcolm H Mac Gregor
Publisher: World Scientific
Total Pages: 459
Release: 2007-03-12
Genre: Science
ISBN: 9814477230

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This book is centered on the most pressing unsolved problem in elementary particle physics — the mass generation of particles. It contains physics that is not included in the Standard Model as it is now formulated, while at the same time being in conformity with the major results of the Standard Model, i.e. isotopic spins and interactions. It differs from the Standard Model in the treatment of masses and pseudoscalar mesons, and in the role assigned to the coupling constant α. Presented in a careful and phenomenological way, the material can easily be followed by all physicists, both experimental and theoretical, and also by interested workers in other fields. The author's website — 70mev.org — gives additional information about the applications of the constant α in particle physics.


Nanomaterials

Nanomaterials
Author: Engg Kamakhya Prasad Ghatak
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 406
Release: 2018-11-05
Genre: Science
ISBN: 3110610817

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The work studies under different physical conditions the carrier contribution to elastic constants in heavily doped optoelectronic materials. In the presence of intense photon field the authors apply the Heisenberg Uncertainty Principle to formulate electron statistics. Many open research problems are discussed and numerous potential applications as quantum sensors and quantum cascade lasers are presented.


The Encyclopedia of Science and Technology

The Encyclopedia of Science and Technology
Author: James Trefil
Publisher: Routledge
Total Pages: 555
Release: 2001-08-24
Genre: Social Science
ISBN: 113675363X

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Edited by acclaimed science writer and physicist James Trefil, the Encyclopedia's 1000 entries combine in-depth coverage with a vivid graphic format to bring every facet of science, technology, and medicine into stunning focus. From absolute zero to the Mesozoic era to semiconductors to the twin paradox, Trefil and his co-authors have an uncanny ability to convey how the universe works and to show readers how to apply that knowledge to everyday problems.


Wave Propagation in Electromagnetic Media

Wave Propagation in Electromagnetic Media
Author: Julian L. Davis
Publisher: Springer Science & Business Media
Total Pages: 303
Release: 2012-12-06
Genre: Science
ISBN: 1461232848

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This is the second work of a set of two volumes on the phenomena of wave propagation in nonreacting and reacting media. The first, entitled Wave Propagation in Solids and Fluids (published by Springer-Verlag in 1988), deals with wave phenomena in nonreacting media (solids and fluids). This book is concerned with wave propagation in reacting media-specifically, in electro magnetic materials. Since these volumes were designed to be relatively self contained, we have taken the liberty of adapting some of the pertinent material, especially in the theory of hyperbolic partial differential equations (concerned with electromagnetic wave propagation), variational methods, and Hamilton-Jacobi theory, to the phenomena of electromagnetic waves. The purpose of this volume is similar to that of the first, except that here we are dealing with electromagnetic waves. We attempt to present a clear and systematic account of the mathematical methods of wave phenomena in electromagnetic materials that will be readily accessible to physicists and engineers. The emphasis is on developing the necessary mathematical tech niques, and on showing how these methods of mathematical physics can be effective in unifying the physics of wave propagation in electromagnetic media. Chapter 1 presents the theory of time-varying electromagnetic fields, which involves a discussion of Faraday's laws, Maxwell's equations, and their appli cations to electromagnetic wave propagation under a variety of conditions.