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Introduction to Quantum Mechanics 2: Wave–Corpuscle, Quantization and Schrodinger?s Equation, Ibrahima Sakho


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Автор: Ibrahima Sakho
Название:  Introduction to Quantum Mechanics 2: Wave–Corpuscle, Quantization and Schrodinger?s Equation
ISBN: 9781786305015
Издательство: Wiley
Классификация:



ISBN-10: 1786305011
Обложка/Формат: Hardcover
Страницы: 304
Вес: 0.58 кг.
Дата издания: 14.02.2020
Серия: Engineering
Язык: English
Размер: 236 x 166 x 26
Читательская аудитория: Professional & vocational
Ключевые слова: Mechanical engineering & materials
Подзаголовок: Wave-corpuscle, quantization and schrodinger`s equation
Ссылка на Издательство: Link
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Поставляется из: Англии
Описание:

Quantum mechanics is the foundation of modern technology, due to its innumerable applications in physics, chemistry and even biology.

This second volume studies Schr?dingers equation and its applications in the study of wells, steps and potential barriers. It examines the properties of orthonormal bases in the space of square-summable wave functions and Dirac notations in the space of states.

This book has a special focus on the notions of the linear operators, the Hermitian operators, observables, Hermitian conjugation, commutators and the representation of kets, bras and operators in the space of states. The eigenvalue equation, the characteristic equation and the evolution equation of the mean value of an observable are introduced. The book goes on to investigate the study of conservative systems through the time evolution operator and Ehrenfests theorem.

Finally, this second volume is completed by the introduction of the notions of quantum wire, quantum wells of semiconductor materials and quantum dots in the appendices.




Enhanced Quantization: Particles, Fields & Gravity

Автор: Klauder John R
Название: Enhanced Quantization: Particles, Fields & Gravity
ISBN: 9814644625 ISBN-13(EAN): 9789814644624
Издательство: World Scientific Publishing
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Цена: 13939.00 р.
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Описание: This pioneering book addresses the question: Are the standard procedures of canonical quantization fully satisfactory, or is there more to learn about assigning a proper quantum system to a given classical system? As shown in this book, the answer to this question is: The standard procedures of canonical quantization are not the whole story!

Geometric Quantization and Quantum Mechanics

Автор: Jedrzej Sniatycki
Название: Geometric Quantization and Quantum Mechanics
ISBN: 0387904697 ISBN-13(EAN): 9780387904696
Издательство: Springer
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Описание: The aim of the seminars was to present geometric quantization from the point of view* of its applica- tions to quantum mechanics, and to introduce the quantum dynamics of various physical systems as the result of the geometric quantization of the classical dynamics of these systems.

Charge Quantization and Kondo Quantum Criticality in Few-Channel Mesoscopic Circuits

Автор: Iftikhar
Название: Charge Quantization and Kondo Quantum Criticality in Few-Channel Mesoscopic Circuits
ISBN: 3319946846 ISBN-13(EAN): 9783319946849
Издательство: Springer
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Цена: 13974.00 р.
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Описание: We demonstrate the charge quantization criterion, observe the predicted charge quantization scaling and a crossover toward a universal behavior as temperature is increased.The second set of experiments addresses the unconventional quantum critical physics that arises in the multichannel Kondo model.

Charge Quantization and Kondo Quantum Criticality in Few-Channel Mesoscopic Circuits

Автор: Zubair Iftikhar
Название: Charge Quantization and Kondo Quantum Criticality in Few-Channel Mesoscopic Circuits
ISBN: 3030068994 ISBN-13(EAN): 9783030068998
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This thesis explores several fundamental topics in mesoscopic circuitries that incorporate few electronic conduction channels. It reports a series of long-awaited experiments that establish a new state of the art.The first experiments address the quantized character of charge in circuits. We demonstrate the charge quantization criterion, observe the predicted charge quantization scaling and a crossover toward a universal behavior as temperature is increased.The second set of experiments addresses the unconventional quantum critical physics that arises in the multichannel Kondo model. We observe the predicted universal Kondo fixed points and validate the numerical renormalization group scaling curves. Away from the quantum critical point, we obtain a direct visualization of the development of a second-order quantum phase transition.

Born-Jordan Quantization

Автор: Maurice A. de Gosson
Название: Born-Jordan Quantization
ISBN: 3319279009 ISBN-13(EAN): 9783319279008
Издательство: Springer
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Цена: 11878.00 р.
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Описание: This book presents a comprehensive mathematical study of the operators behind the Born-Jordan quantization scheme. Thus, Born-Jordan quantization provides the only physically consistent quantization scheme, as opposed to the Weyl quantization commonly used by physicists.

Stochastic Quantization

Автор: Mikio Namiki; I. Ohba; K. Okano; Y. Yamanaka; A.K.
Название: Stochastic Quantization
ISBN: 3662138808 ISBN-13(EAN): 9783662138809
Издательство: Springer
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Цена: 13060.00 р.
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Описание: The Parisi-Wu stochastic quantization method gives quantum mechanics as the thermal-equilibrium limit of a hypothetical stochastic process with respect to some fictitious time other than ordinary time. I believe that the stochastic quantization method has the potential to extend the territory of quantum mechanics and of quantum field theory.

Geometry, Topology and Quantization

Автор: P. Bandyopadhyay
Название: Geometry, Topology and Quantization
ISBN: 0792343050 ISBN-13(EAN): 9780792343059
Издательство: Springer
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Цена: 16977.00 р.
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Описание: This is a monograph on geometrical and topological features which arise in various quantization procedures. When this internal space variable is considered as a direc- tion vector introducing an anisotropy in the internal space, we have the quantization of a Fermi field.

Methods of Quantization

Автор: Heimo Latal; Wolfgang Schweiger
Название: Methods of Quantization
ISBN: 3662143364 ISBN-13(EAN): 9783662143360
Издательство: Springer
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Цена: 11753.00 р.
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Methods of Quantization

Автор: Heimo Latal; Wolfgang Schweiger
Название: Methods of Quantization
ISBN: 3540421009 ISBN-13(EAN): 9783540421009
Издательство: Springer
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Цена: 14365.00 р.
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Geometry, Topology and Quantization

Автор: P. Bandyopadhyay
Название: Geometry, Topology and Quantization
ISBN: 940106282X ISBN-13(EAN): 9789401062824
Издательство: Springer
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Цена: 14365.00 р.
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Описание: This is a monograph on geometrical and topological features which arise in various quantization procedures. When this internal space variable is considered as a direc- tion vector introducing an anisotropy in the internal space, we have the quantization of a Fermi field.

The Quantization of Gravity

Автор: Claus Gerhardt
Название: The Quantization of Gravity
ISBN: 3030084418 ISBN-13(EAN): 9783030084417
Издательство: Springer
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Цена: 11179.00 р.
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Описание: ?A unified quantum theory incorporating the four fundamental forces of nature is one of the major open problems in physics. The Standard Model combines electro-magnetism, the strong force and the weak force, but ignores gravity. The quantization of gravity is therefore a necessary first step to achieve a unified quantum theory. In this monograph a canonical quantization of gravity has been achieved by quantizing a geometric evolution equation resulting in a gravitational wave equation in a globally hyperbolic spacetime. Applying the technique of separation of variables we obtain eigenvalue problems for temporal and spatial self-adjoint operators where the temporal operator has a pure point spectrum with eigenvalues $\lambda_i$ and related eigenfunctions, while, for the spatial operator, it is possible to find corresponding eigendistributions for each of the eigenvalues $\lambda_i$, if the Cauchy hypersurface is asymptotically Euclidean or if the quantized spacetime is a black hole with a negative cosmological constant. The hyperbolic equation then has a sequence of smooth solutions which are products of temporal eigenfunctions and spatial eigendistributions. Due to this 'spectral resolution' of the wave equation quantum statistics can also be applied to the quantized systems. These quantum statistical results could help to explain the nature of dark matter and dark energy.

Quantization of Fields with Constraints

Автор: Dmitri Gitman; Igor V. Tyutin
Название: Quantization of Fields with Constraints
ISBN: 3642839401 ISBN-13(EAN): 9783642839405
Издательство: Springer
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Цена: 13060.00 р.
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Описание: Gauge field theories underlie all models now used in elementary particle physics. These theories refer to the class of singular theories which are also theories with constraints. The quantization of singular theories remains one of the key problems of quantum field theory and is being intensively discussed in the literature. This book is an attempt to fill the need for a comprehensive analysis of this problem, which has not heretofore been met by the available monographs and reviews. The main topics are canonical quantization and the path integral method. In addition, the Lagrangian BRST quantization is completely described, for the first time in a monograph. The book also presents a number of original results obtained by the authors, in particular, a complete description of the physical sector of an arbitrary gauge theory, quantization of singular theories with higher theories with time-dependent constraints, and correct derivatives, quantization of canonical quantization of theories of a relativistic point-like particle. As a general illustration we present quantization of field theories such as electrodynamics, Yang-Mills theory, and gravity. It should be noted that this monograph is aimed not only at giving the reader the rules of quantization according to the principle "if you do it this way, it will be good", but also at presenting strong arguments based on the modem interpretation of the classical and quantum theories which show that these methods- are the natural, if not the only possible ones.


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