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A Tutorial On The Wkb Approximation For Innovative Dirac Materials


A Tutorial On The Wkb Approximation For Innovative Dirac Materials
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A Tutorial On The Wkb Approximation For Innovative Dirac Materials


A Tutorial On The Wkb Approximation For Innovative Dirac Materials
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Author : Andrii Iurov
language : en
Publisher:
Release Date : 2024

A Tutorial On The Wkb Approximation For Innovative Dirac Materials written by Andrii Iurov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with categories.




A Tutorial On The Wkb Approximation For Innovative Dirac Materials


A Tutorial On The Wkb Approximation For Innovative Dirac Materials
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Author : Andrii Iurov
language : en
Publisher: Springer Nature
Release Date : 2024-08-30

A Tutorial On The Wkb Approximation For Innovative Dirac Materials written by Andrii Iurov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-30 with Science categories.


This textbook serves to supplement existing quantum mechanics courses with the WKB (Wentzel–Kramers–Brillouin) theory for recently discovered Dirac materials, such as graphene, a dice lattice, and alpha-T3 materials. This includes finding the semiclassical wave function, coordinate-dependent momentum, semiclassical action, the complete set of transport equations, and applicability conditions for the approximation. The discovery of graphene and its unique electronic behavior has transformed research in condensed matter physics over the last 10-15 years, but core curriculum in standard graduate-level physics courses still does not reflect these new developments and this book intends to close this gap. With a clear focus on various types of Dirac Hamiltonians, the multidimensional theory is only a small part of the book. The derivation of the WKB equations for novel Dirac materials and their applications to electron tunneling, turning points and classically forbidden regions, resonances and localized states, and many other crucial physical problems are methodically presented. This textbook aims to expand the existing approach to presenting the WKB approximation and covers recent developments in its applications. This book also includes many informative graphics, as well as problems and exercises with hints at the end of each chapter. Additional detailed mathematical derivations, as well as code in Mathematica, are added throughout the whole book. Ideal for graduate students and researchers in condensed matter physics, this textbook serves as a modern guide for learning the WKB theory.



Fundamentals Of Quantum Physics


Fundamentals Of Quantum Physics
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Author : Pedro Pereyra
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-28

Fundamentals Of Quantum Physics written by Pedro Pereyra 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 2012-11-28 with Science categories.


This book presents a comprehensive course of quantum mechanics for undergraduate and graduate students. After a brief outline of the innovative ideas that lead up to the quantum theory, the book reviews properties of the Schrödinger equation, the quantization phenomena and the physical meaning of wave functions. The book discusses, in a direct and intelligible style, topics of the standard quantum formalism like the dynamical operators and their expected values, the Heisenberg and matrix representation, the approximate methods, the Dirac notation, harmonic oscillator, angular momentum and hydrogen atom, the spin-field and spin-orbit interactions, identical particles and Bose-Einstein condensation etc. Special emphasis is devoted to study the tunneling phenomena, transmission coefficients, phase coherence, energy levels splitting and related phenomena, of interest for quantum devices and heterostructures. The discussion of these problems and the WKB approximation is done using the transfer matrix method, introduced at a tutorial level. This book is a textbook for upper undergraduate physics and electronic engineering students.



Paul Dirac


Paul Dirac
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Author : Abraham Pais
language : en
Publisher: Cambridge University Press
Release Date : 2005-09-08

Paul Dirac written by Abraham Pais and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-08 with Biography & Autobiography categories.


A unique insight into Dirac's life and work, by four internationally respected physicists.



Condensed Matter Field Theory


Condensed Matter Field Theory
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Author : Alexander Altland
language : en
Publisher: Cambridge University Press
Release Date : 2010-03-11

Condensed Matter Field Theory written by Alexander Altland and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-11 with Science categories.


This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.



Fundamentals Of Solid State Engineering


Fundamentals Of Solid State Engineering
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Author : Manijeh Razeghi
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-12

Fundamentals Of Solid State Engineering written by Manijeh Razeghi 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 2006-06-12 with Technology & Engineering categories.


Fundamentals of Solid State Engineering, 2nd Edition, provides a multi-disciplinary introduction to Solid State Engineering, combining concepts from physics, chemistry, electrical engineering, materials science and mechanical engineering. Basic physics concepts are introduced, followed by a thorough treatment of the technology for solid state engineering. Topics include compound semiconductor bulk and epitaxial thin films growth techniques, current semiconductor device processing and nano-fabrication technologies. Examples of semiconductor devices and a description of their theory of operation are then discussed, including transistors, semiconductor lasers and photodetectors. Revised throughout, this second edition includes new chapters on the reciprocal lattice, optical properties of semiconductors, semiconductor heterostructures, semiconductor characterization techniques, and an introduction to lasers. Additions and improvements have been made to the material on photodetectors and quantum mechanics as well as to the problem sections.



Problems And Solutions On Quantum Mechanics


Problems And Solutions On Quantum Mechanics
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Author : Yung-Kuo Lim
language : en
Publisher: World Scientific
Release Date : 1998

Problems And Solutions On Quantum Mechanics written by Yung-Kuo Lim and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Science categories.


The material for these volumes has been selected from 20 years of examination questions for graduate students at the University of California at Berkeley, Columbia University, University of Chicago, MIT, SUNY at Buffalo, Princeton University and the University of ...



No Nonsense Quantum Mechanics


No Nonsense Quantum Mechanics
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Author : Jakob Schwichtenberg
language : en
Publisher: No-Nonsense Books
Release Date : 2018-10-30

No Nonsense Quantum Mechanics written by Jakob Schwichtenberg and has been published by No-Nonsense Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-30 with Science categories.


Learning Quantum Mechanics doesn’t have to be hard What if there was a way to learn Quantum Mechanics without all the usual fluff and mystification? What if there were a book that allowed you to see the whole picture and not just tiny parts of it? Thoughts like this are the reason that No-Nonsense Quantum Mechanics now exists. What will you learn from this book? Get to know the fundamental quantum features — grasp how different nature works at the level of elementary particles.Learn how to describe Quantum Mechanics mathematically — understand the origin and meaning of the most important quantum equations: the Schrödinger equation + the canonical commutation relations.Master the most important quantum systems — read step-by-step calculations and understand the general algorithm we use to describe them.Get an understanding you can be proud of — learn why there are alternative frameworks to describe Quantum Mechanics and how they are connected to the standard wave description. No-Nonsense Quantum Mechanics is the most student-friendly book on Quantum Mechanics ever written. Here’s why. First of all, it's is nothing like a formal university lecture. Instead, it’s like a casual conservation with a more experienced student. This also means that nothing is assumed to be “obvious” or “easy to see”.Each chapter, each section, and each page focusses solely on the goal to help you understand. Nothing is introduced without a thorough motivation and it is always clear where each equation comes from.The book contains no fluff since unnecessary content quickly leads to confusion. Instead, it ruthlessly focusses on the fundamentals and makes sure you’ll understand them in detail. The primary focus on the readers’ needs is also visible in dozens of small features that you won’t find in any other textbook In total, the book contains more than 100 illustrations that help you understand the most important concepts in visually. In each chapter, you’ll find fully annotated equations and calculations are done carefully step-by-step. This makes it much easier to understand what’s going on in.Whenever a concept is used that was already introduced previously there is a short sidenote that reminds you where it was first introduced and often recites the main points. In addition, there are summaries at the beginning of each chapter that make sure you won’t get lost.



Polarization Effects In Semiconductors


Polarization Effects In Semiconductors
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Author : Debdeep Jena
language : en
Publisher: Springer Science & Business Media
Release Date : 2008

Polarization Effects In Semiconductors written by Debdeep Jena 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 2008 with Science categories.


Polarization Effects in Semiconductors: From Ab Initio Theory to Device Applications presents the latest understanding of the solid state physics, electronic implications and practical applications of the unique spontaneous or pyro-electric polarization charge of wurtzite compound semiconductors, and associated piezo-electric effects in strained thin film heterostructures. These heterostructures are used in wide band gap semiconductor based sensors, in addition to various electronic and opto-electronic semiconductor devices. The book covers the ab initio theory of polarization in cubic and hexagonal semiconductors, growth of thin film GaN, GaN/AlGaN GaAlN/ AlGaInN, and other nitrides, and SiC heterostructures. It discusses the effects of spontaneous and piezoelectric polarization on band diagrams and electronic properties of abrupt and compositionally graded heterostructures, electronic characterization of polarization-induced charge distributions by scanning-probe spectroscopies, and gauge factors and strain effects. In addition, polarization in extended defects, piezo-electric strain/charge engineering, and application to device design and processing are covered. The effects of polarization on the fundamental electron transport properties, and on the basic optical transitions are described. The crucial role of polarization in devices such as high electron mobility transistors (HEMTs) and light-emitting diodes (LEDs) is covered. The chapters are authored by professors and researchers in the fields of physics, applied physics and electrical engineering, who worked for 5 years under the "Polarization Effects in Semiconductors" DOD funded Multi Disciplinary University Research Initiative. This book will be of interest to graduate students and researchers working in the field of wide-bandgap semiconductor physics and their device applications. It will also be useful for practicing engineers in the field of wide-bandgap semiconductor device research and development.



Quantum Un Speakables


Quantum Un Speakables
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Author : R.A. Bertlmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-07-27

Quantum Un Speakables written by R.A. Bertlmann 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 2002-07-27 with Computers categories.


This outstanding collection of essays in commemoration of John S. Bell is the result of the "Quantum (Un)speakables" conference organised by the University of Vienna. The title was taken from a famous note written by John Bell during the "Schrödinger Symposium" of 1987. The book leads the reader from the foundations of quantum mechanics to quantum entanglement, quantum cryptography, and quantum information, and is written for all those who need more insight into this new area of physics.