Heisenberg S Uncertainty Principle And The Electron Statistics In Quantized Structures

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Heisenberg S Uncertainty Principle And The Electron Statistics In Quantized Structures
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Author : Kamakhya Prasad Ghatak
language : en
Publisher: Springer Nature
Release Date : 2022-03-25
Heisenberg S Uncertainty Principle And The Electron Statistics In Quantized Structures written by Kamakhya Prasad Ghatak and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-25 with Science categories.
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
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Author : Kamakhya Prasad Ghatak
language : en
Publisher: World Scientific
Release Date : 2024-02-06
Quantum Capacitance In Quantized Transistors written by Kamakhya Prasad Ghatak and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-06 with Science categories.
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.
Electron Statistics In Quantum Confined Superlattices
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Author : Kamakhya Prasad Ghatak
language : en
Publisher: World Scientific
Release Date : 2023-03-14
Electron Statistics In Quantum Confined Superlattices written by Kamakhya Prasad Ghatak and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-14 with Science categories.
The concepts of the Electron Statistics (ES) and the ES dependent electronic properties are basic pillars in semiconductor electronics and this first-of-its-kind book deals with the said concepts in doping superlattices (SLs), quantum well, quantum wire and quantum dot SLs, effective mass SLs, SLs with graded interfaces and Fibonacci SLs under different physical conditions respectively. The influences of intense radiation and strong electric fields under said concepts have been considered together with the heavily doped SLs in this context on the basis of newly formulated the electron energy spectra in all the cases. We have suggested experimental determinations of the Einstein relation for the Diffusivity-Mobility ratio, the Debye screening length, Elastic Constants and the content of this book finds 25 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. It is written for post graduate students of various departments of different academic organizations, engineers and professionals in the fields of solid state electronics, materials science, solid state sciences, nano-science, nanotechnology and nano materials in general.
Density Of States Function And Related Applications In Quantized Structures
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Author : Kamakhya Prasad Ghatak
language : en
Publisher: World Scientific
Release Date : 2025-05-29
Density Of States Function And Related Applications In Quantized Structures written by Kamakhya Prasad Ghatak and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-29 with Science categories.
In recent years there has been considerable interest in studying the DENSITY-OF-STATES (DOS) functions and Related Applications in Quantized Structures of different technologically important materials in low dimensional electronics. The concept of DOS function is of fundamental importance for not only the characterization of semiconductor nanostructures but also in the study of the carrier transport in quantum effect devices. The acoustic mobility limited momentum relaxation time is inversely proportional to the respective DOS function of a particular semiconductor and the DOS function, in turn, is connected to the twenty five important transport topics of quantum effect devices namely the Landau Dia and Pauli's Para Magnetic Susceptibilities, the Einstein's Photoemission, the Einstein Relation, the Debye Screening Length, the Generalized Raman gain, the Normalized Hall coefficient, the Fowler-Nordheim Field Emission, the Gate Capacitance, the Thermoelectric Power, the Plasma Frequency, the Magneto-Thermal effect in Quantized Structures, the Activity coefficient, the Reflection coefficient, the Heat Capacity, the Faraday rotation, the Optical Effective Mass, the Carrier contribution to the elastic constants, the Diffusion coefficient of the minority carriers, the Nonlinear optical response, the Third order nonlinear optical susceptibility, the Righi-Leduc coefficient, the Electric Susceptibility, the Electric Susceptibility Mass, the Electron Diffusion Thermo-power and the Hydrostatic Piezo-resistance Coefficient respectively.This first-of-a-kind monograph investigates the DOS function and the aforementioned applications in quantized structures of tetragonal and non-linear optical, III-V, II-VI, Gallium Phosphide, Germanium, Platinum Antimonide, stressed, IV-VI, Lead Germanium Telluride, II-V, Zinc and Cadmium diphosphides and Bismuth Telluride respectively. We have also formulated the same and the allied physical properties of III-V, II-VI, IV-VI and HgTe/CdTe quantum well Heavily Doped (HD) superlattices with graded interfaces under magnetic quantization, III-V, II-VI, IV-VI and HgTe/CdTe HD effective mass superlattices under magnetic quantization, quantum confined effective mass superlattices and superlattices of HD optoelectronic materials with graded interfaces in addition to other quantized structures respectively.This book covers from elementary applications in the first chapter up to rather advanced investigations in the later chapters. We have suggested experimental determinations of the Einstein relation for the Diffusivity-Mobility ratio, the Debye screening length and Elastic Constants in various types of quantized structures under different physical conditions. This book contains 222 current open research problems which form an integral part of the text and are useful for both aspiring students and researchers. It is written for graduate / post graduate students, engineers and professionals in the fields of condensed matter physics, solid state sciences, materials science, nanoscience, nanotechnology and nanostructured materials in general and this book will be invaluable to all those researching in academic and industrial laboratories in the said cases worldwide.
Generation Detection And Processing Of Terahertz Signals
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Author : Aritra Acharyya
language : en
Publisher: Springer Nature
Release Date : 2021-09-21
Generation Detection And Processing Of Terahertz Signals written by Aritra Acharyya and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-21 with Technology & Engineering categories.
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.
Heisenberg S Uncertainty Principle And The Electron Statistics In Quantized Structures
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Author : Kamakhya Prasad Ghatak
language : en
Publisher:
Release Date : 2022
Heisenberg S Uncertainty Principle And The Electron Statistics In Quantized Structures written by Kamakhya Prasad Ghatak and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.
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.
Fundamentals Of Quantum Data Structures
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Author : N.B. Singh
language : en
Publisher: N.B. Singh
Release Date : 426-01-01
Fundamentals Of Quantum Data Structures written by N.B. Singh and has been published by N.B. Singh this book supported file pdf, txt, epub, kindle and other format this book has been release on 426-01-01 with Computers categories.
"Fundamentals of Quantum Data Structures" is a comprehensive guide that introduces the core concepts and principles underlying the marriage of quantum computing and data structures. Tailored for students, researchers, and professionals in the field of quantum computing, this book navigates through the essential foundations of quantum information processing, offering insights into quantum bits (qubits), quantum gates, and quantum algorithms. With clear explanations and practical examples, the book serves as an invaluable resource for those looking to grasp the fundamentals of organizing and manipulating data in the unique context of quantum computing.
Power Of Alpha The Electron Elementary Particle Generation With Alpha Quantized Lifetimes And Masses
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Author : Malcolm H Mac Gregor
language : en
Publisher: World Scientific
Release Date : 2007-03-12
Power Of Alpha The Electron Elementary Particle Generation With Alpha Quantized Lifetimes And Masses written by Malcolm H Mac Gregor and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-12 with Science categories.
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.
The Theory Of Magnetism I
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Author : Daniel C. Mattis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Theory Of Magnetism I written by Daniel C. Mattis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Starting with a historical introduction to the study of magnetism - one of the oldest sciences known to man - before considering the most modern theories and observations (magnetic bubbles and soap films, effects of magnetic impurities in metals and spin glasses), this book develops the concepts and the mathematical expertise necessary to understand contemporary research in this field. Magnetic systems are important in technology and applied science, but they are also prototypes of more complex mathematical structures of great importance to theoretical physics. These connections are made repeatedly in this volume. After development of the necessary quantum theory of angular momentum and of interacting electron systems, a number of models which have been successful in the interpretation of experimental results are introduced: the Ising model, the Heisenberg model, the Stoner theory, the Kondo phenomenon, and so on. In the second edition the thorough approach and the main features which made the first edition a popular text have been retained. All important theories are worked out in detail using methods and notation that are uniform throughout. Footnotes and an extensive bibliography provide a guide to the original literature. A number of problems test the reader's skill.
Solid State Quantum Information An Advanced Textbook Quantum Aspect Of Many Body Systems
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Author : Wonmin Son
language : en
Publisher: World Scientific
Release Date : 2018-02-22
Solid State Quantum Information An Advanced Textbook Quantum Aspect Of Many Body Systems written by Wonmin Son and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-22 with Science categories.
This book on solid state physics has been written with an emphasis on recent developments in quantum many-body physics approaches. It starts by covering the classical theory of solids and electrons and describes how this classical model has failed. The authors then present the quantum mechanical model of electrons in a lattice and they also discuss the theory of conductivity. Extensive reviews on the topic are provided in a compact manner so that any non-specialist can follow from the beginning.The authors cover the system of magnetism in a similar way and various problems in magnetic materials are discussed. The book also discusses the Ising chain, the Heisenberg model, the Kondo effect and superconductivity, amongst other relevant topics.In the final chapter, the authors present some works related to contemporary research topics, such as quantum entanglement in many-body systems and quantum simulations. They also include a short review of some of the possible applications of solid state quantum information in biological systems.