A Tutorial on the WKB Approximation for Innovative Dirac Materials

A Tutorial on the WKB Approximation for Innovative Dirac Materials
Author: Andrii Iurov
Publisher: Springer
Total Pages: 0
Release: 2024-10-11
Genre: Science
ISBN: 9783031600647

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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
Author: Pedro Pereyra
Publisher: Springer Science & Business Media
Total Pages: 329
Release: 2012-11-28
Genre: Science
ISBN: 3642293786

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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.

Third-Generation Femtosecond Technology

Third-Generation Femtosecond Technology
Author: Hanieh Fattahi
Publisher: Springer
Total Pages: 150
Release: 2015-08-28
Genre: Science
ISBN: 3319200259

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This thesis offers a thorough and informative study of high-power, high-energy optical parametric chirped pulse amplifications systems, the foundation of the next generation of femtosecond laser technology. Starting from the basics of the linear processes involved and the essential design considerations, the author clearly and systematically describes the various prerequisites of the nonlinear optical systems expected to drive attosecond physics in the coming decade. In this context, he gives an overview of methods for generating the broadband and carrier-envelope-phase stable seed pulses necessary for producing controlled electric-field waveforms in the final system; provides a guide to handling the high-power, high-energy pump lasers required to boost the pulse energy to the desired operating range; describes the design of the nonlinear optical system used to perform the amplification, including modes of operation for ultra-broadband infrared-visible pulses or narrowband (yet still ultrafast) pulses tunable over multiple octaves; and finally presents a prospective high-energy field synthesizer based upon these techniques. As such, this work is essential reading for all scientists interested in utilizing the newest generation of ultrafast systems.

A Modern Approach to Quantum Mechanics

A Modern Approach to Quantum Mechanics
Author: John S. Townsend
Publisher: University Science Books
Total Pages: 498
Release: 2000
Genre: Science
ISBN: 9781891389139

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Inspired by Richard Feynman and J.J. Sakurai, A Modern Approach to Quantum Mechanics allows lecturers to expose their undergraduates to Feynman's approach to quantum mechanics while simultaneously giving them a textbook that is well-ordered, logical and pedagogically sound. This book covers all the topics that are typically presented in a standard upper-level course in quantum mechanics, but its teaching approach is new. Rather than organizing his book according to the historical development of the field and jumping into a mathematical discussion of wave mechanics, Townsend begins his book with the quantum mechanics of spin. Thus, the first five chapters of the book succeed in laying out the fundamentals of quantum mechanics with little or no wave mechanics, so the physics is not obscured by mathematics. Starting with spin systems it gives students straightfoward examples of the structure of quantum mechanics. When wave mechanics is introduced later, students should perceive it correctly as only one aspect of quantum mechanics and not the core of the subject.

Einstein and the Quantum

Einstein and the Quantum
Author: A. Douglas Stone
Publisher: Princeton University Press
Total Pages: 344
Release: 2015-10-06
Genre: Science
ISBN: 0691168563

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The untold story of Albert Einstein's role as the father of quantum theory Einstein and the Quantum reveals for the first time the full significance of Albert Einstein's contributions to quantum theory. Einstein famously rejected quantum mechanics, observing that God does not play dice. But, in fact, he thought more about the nature of atoms, molecules, and the emission and absorption of light—the core of what we now know as quantum theory—than he did about relativity. A compelling blend of physics, biography, and the history of science, Einstein and the Quantum shares the untold story of how Einstein—not Max Planck or Niels Bohr—was the driving force behind early quantum theory. It paints a vivid portrait of the iconic physicist as he grappled with the apparently contradictory nature of the atomic world, in which its invisible constituents defy the categories of classical physics, behaving simultaneously as both particle and wave. And it demonstrates how Einstein's later work on the emission and absorption of light, and on atomic gases, led directly to Erwin Schrödinger's breakthrough to the modern form of quantum mechanics. The book sheds light on why Einstein ultimately renounced his own brilliant work on quantum theory, due to his deep belief in science as something objective and eternal.

Introduction to the Non-Destructive Testing of Welded Joints

Introduction to the Non-Destructive Testing of Welded Joints
Author: R. Halmshaw
Publisher: Elsevier
Total Pages: 141
Release: 1997-01-01
Genre: Technology & Engineering
ISBN: 1845698827

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This second edition builds on the success of the first and covers the widespread introduction of computer technology, particularly the digitisation of data into the many branches of NDT. It surveys the new European (CEN) Standards and provisional CEN Standards on NDT, many of which are replacing British Standards. New NDT techniques not included in the first edition are also included.

Scanning Electron Microscope Optics and Spectrometers

Scanning Electron Microscope Optics and Spectrometers
Author: Anjam Khursheed
Publisher: World Scientific
Total Pages: 417
Release: 2011
Genre: Technology & Engineering
ISBN: 9812836675

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This book contains proposals to redesign the scanning electron microscope, so that it is more compatible with other charged particle beam instrumentation and analytical techniques commonly used in surface science research. It emphasizes the concepts underlying spectrometer designs in the scanning electron microscope, and spectrometers are discussed under one common framework so that their relative strengths and weaknesses can be more readily appreciated. This is done, for the most part, through simulations and derivations carried out by the author himself.The book is aimed at scientists, engineers and graduate students whose research area or study in some way involves the scanning electron microscope and/or charged particle spectrometers. It can be used both as an introduction to these subjects and as a guide to more advanced topics about scanning electron microscope redesign.

Quantum Physics for Beginners

Quantum Physics for Beginners
Author: Ethan Hayes
Publisher:
Total Pages: 196
Release: 2020-11-04
Genre:
ISBN: 9781954151017

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Do you want to learn more about quantum physics, but you don't know where to begin? Are you perplexed if it's possible to have the same object in two places at once? Are you trying to find answers if time travel is feasible today? If your answer to these questions is yes, then keep reading! Whether you believe it or not, the Quantum world is real! Quantum Physics discovers the behavior of energy and matter at the nuclear, atomic, molecular, and even smaller levels. This book, Quantum Physics for Beginners - The Easy Guide to Understand how Everything Works through the Behavior of Matter, the Law of Attraction and the Theory of Relativity, will make such a complicated subject simple to comprehend. It avoids the complicated math and jumps right into all the implications, thought experiments, paradoxes, and concepts which make quantum physics so intriguing to people out there. Quantum physics might sound like the type of topic you do not like to touch for a simple read before you go to sleep. No one would blame you for that. Honestly, quantum physics is loaded with deals and paradoxes in the concept of paradox itself as its core engine. This book is intended to help you with that. Knowing the fundamentals of quantum physics is simple with this guide. After reading, you can start asking big questions through modern physics and find solutions to such problems too. Here's a quick peek of what you will learn in this book: What Is Quantum Physics, And Why you Should Learn It Introduction To Quantum Physics Main Elements Einstein and The Theory Of Relativity The String Theory, the M-Theory and the Theory of Everything The Great Minds: Einstein, Heisenberg, Bohr, Stephen Hawking, and many others The Relationship Between Waves And Particles Practical Applications Of Quantum Theory How Quantum Physics will help us in the Third Millennium Philosophical Implications How the Law of Attraction influences our daily life How Blackholes work ...And much more! Get this book today and explore the universe. Click BUY NOW to get started!

Condensed Matter Field Theory

Condensed Matter Field Theory
Author: Alexander Altland
Publisher: Cambridge University Press
Total Pages: 785
Release: 2010-03-11
Genre: Science
ISBN: 0521769752

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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.