Physics of Quantum Rings

Physics of Quantum Rings
Author: Vladimir M. Fomin
Publisher: Springer Science & Business Media
Total Pages: 498
Release: 2013-08-29
Genre: Science
ISBN: 3642391974

This book deals with a new class of materials, quantum rings. Innovative recent advances in experimental and theoretical physics of quantum rings are based on the most advanced state-of-the-art fabrication and characterization techniques as well as theoretical methods. The experimental efforts allow to obtain a new class of semiconductor quantum rings formed by capping self-organized quantum dots grown by molecular beam epitaxy. Novel optical and magnetic properties of quantum rings are associated with non-trivial topologies at the nanoscale. An adequate characterization of quantum rings is possible on the basis of modern characterization methods of nanostructures, such as Scanning Tunneling Microscopy. A high level of complexity is demonstrated to be needed for a dedicated theoretical model to adequately represent the specific features of quantum rings. The findings presented in this book contribute to develop low-cost high-performance electronic, spintronic, optoelectronic and information processing devices based on quantum rings.

Quantum Ring Theory

Quantum Ring Theory
Author: Wladimir Guglinski
Publisher: Bauu Inst
Total Pages: 296
Release: 2006-08-01
Genre: Science
ISBN: 9780972134941

In Quantum Ring Theory Wladimir Guglinski presents a radical new theory concerning the fundamental nature of physics. Hailed as a intriguing theorist by Dr. Eugene Mallove, president of the New Energy Foundation, Guglinski argues that the current understanding of physics does not put forth an accurate model of the world. Instead, Guglinski argues that we must once again consider the "aether," a notion originally put forth by Greek philosophers. By considering the nature of "aether" and its role in physical processes, Guglinski is able to put forth a theory that reconciles Quantum Physics with the Theory of Relativity. To date, no other physical theory is able to accord for the intraction between these two fundamental areas of physics. As part of Guglinski's new theory, the author presents a new model of the neutron. Guglinski's model of the neutron has been confirmed by contemporary physical experiments: The first one was made by Don Borghi and published in 1993 by the American Institute of Physics; the second experiment was made by Elio Conte and Maria Pieralice, subsequently published in the magazine Infinite Energy in 1999. Currently, other experiments around the world are being conducted to test the remainder of Guglinski's theoretical work. Quantum Ring Theory presents for the first time in a complete text the theoretical work of Wladimir Guglinski. In this volume cutting edge theoretical work in physics is presented; theoretical work which may ultimately change the very way we understand the world.

Group Theory and Quantum Mechanics

Group Theory and Quantum Mechanics
Author: Michael Tinkham
Publisher: Courier Corporation
Total Pages: 354
Release: 2012-04-20
Genre: Science
ISBN: 0486131661

This graduate-level text develops the aspects of group theory most relevant to physics and chemistry (such as the theory of representations) and illustrates their applications to quantum mechanics. The first five chapters focus chiefly on the introduction of methods, illustrated by physical examples, and the final three chapters offer a systematic treatment of the quantum theory of atoms, molecules, and solids. The formal theory of finite groups and their representation is developed in Chapters 1 through 4 and illustrated by examples from the crystallographic point groups basic to solid-state and molecular theory. Chapter 5 is devoted to the theory of systems with full rotational symmetry, Chapter 6 to the systematic presentation of atomic structure, and Chapter 7 to molecular quantum mechanics. Chapter 8, which deals with solid-state physics, treats electronic energy band theory and magnetic crystal symmetry. A compact and worthwhile compilation of the scattered material on standard methods, this volume presumes a basic understanding of quantum theory.

Dimensions of Ring Theory

Dimensions of Ring Theory
Author: C. Nastasescu
Publisher: Springer Science & Business Media
Total Pages: 382
Release: 1987-04-30
Genre: Mathematics
ISBN: 9789027724618

Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Gad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of s9phistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Galois Fields and Galois Rings Made Easy

Galois Fields and Galois Rings Made Easy
Author: Maurice Kibler
Publisher: Elsevier
Total Pages: 272
Release: 2017-09-22
Genre: Mathematics
ISBN: 0081023510

This book constitutes an elementary introduction to rings and fields, in particular Galois rings and Galois fields, with regard to their application to the theory of quantum information, a field at the crossroads of quantum physics, discrete mathematics and informatics.The existing literature on rings and fields is primarily mathematical. There are a great number of excellent books on the theory of rings and fields written by and for mathematicians, but these can be difficult for physicists and chemists to access.This book offers an introduction to rings and fields with numerous examples. It contains an application to the construction of mutually unbiased bases of pivotal importance in quantum information. It is intended for graduate and undergraduate students and researchers in physics, mathematical physics and quantum chemistry (especially in the domains of advanced quantum mechanics, quantum optics, quantum information theory, classical and quantum computing, and computer engineering).Although the book is not written for mathematicians, given the large number of examples discussed, it may also be of interest to undergraduate students in mathematics. - Contains numerous examples that accompany the text - Includes an important chapter on mutually unbiased bases - Helps physicists and theoretical chemists understand this area of mathematics

The Theory of Quantum Information

The Theory of Quantum Information
Author: John Watrous
Publisher:
Total Pages: 599
Release: 2018-04-26
Genre: Computers
ISBN: 1107180562

Formal development of the mathematical theory of quantum information with clear proofs and exercises. For graduate students and researchers.

Quantum Fields and Strings: A Course for Mathematicians

Quantum Fields and Strings: A Course for Mathematicians
Author: Pierre Deligne
Publisher: American Mathematical Society
Total Pages: 801
Release: 1999-10-25
Genre: Mathematics
ISBN: 0821820133

A run-away bestseller from the moment it hit the market in late 1999. This impressive, thick softcover offers mathematicians and mathematical physicists the opportunity to learn about the beautiful and difficult subjects of quantum field theory and string theory. Cover features an intriguing cartoon that will bring a smile to its intended audience.

The Moduli Space of Curves

The Moduli Space of Curves
Author: Robert H. Dijkgraaf
Publisher: Springer Science & Business Media
Total Pages: 570
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461242649

The moduli space Mg of curves of fixed genus g – that is, the algebraic variety that parametrizes all curves of genus g – is one of the most intriguing objects of study in algebraic geometry these days. Its appeal results not only from its beautiful mathematical structure but also from recent developments in theoretical physics, in particular in conformal field theory.

Finite Mathematics as the Foundation of Classical Mathematics and Quantum Theory

Finite Mathematics as the Foundation of Classical Mathematics and Quantum Theory
Author: Felix Lev
Publisher: Springer Nature
Total Pages: 291
Release: 2020-11-03
Genre: Science
ISBN: 3030611019

This book delves into finite mathematics and its application in physics, particularly quantum theory. It is shown that quantum theory based on finite mathematics is more general than standard quantum theory, whilst finite mathematics is itself more general than standard mathematics.As a consequence, the mathematics describing nature at the most fundamental level involves only a finite number of numbers while the notions of limit, infinite/infinitesimal and continuity are needed only in calculations that describe nature approximately. It is also shown that the concepts of particle and antiparticle are likewise approximate notions, valid only in special situations, and that the electric charge and baryon- and lepton quantum numbers can be only approximately conserved.

Lectures on Algebraic Quantum Groups

Lectures on Algebraic Quantum Groups
Author: Ken Brown
Publisher: Birkhäuser
Total Pages: 339
Release: 2012-12-06
Genre: Mathematics
ISBN: 303488205X

This book consists of an expanded set of lectures on algebraic aspects of quantum groups. It particularly concentrates on quantized coordinate rings of algebraic groups and spaces and on quantized enveloping algebras of semisimple Lie algebras. Large parts of the material are developed in full textbook style, featuring many examples and numerous exercises; other portions are discussed with sketches of proofs, while still other material is quoted without proof.