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A Mathematical Primer on Quantum Mechanics, Alessandro Teta


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Автор: Alessandro Teta
Название:  A Mathematical Primer on Quantum Mechanics
ISBN: 9783030085667
Издательство: Springer
Классификация:




ISBN-10: 303008566X
Обложка/Формат: Soft cover
Страницы: 259
Вес: 0.42 кг.
Дата издания: 2018
Серия: UNITEXT for Physics
Язык: English
Издание: Softcover reprint of
Иллюстрации: 7 illustrations, black and white; xi, 259 p. 7 illus.
Размер: 236 x 213 x 13
Читательская аудитория: Professional & vocational
Основная тема: Physics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book offers a rigorous yet elementary approach to quantum mechanics that will meet the needs of Master’s-level Mathematics students and is equally suitable for Physics students who are interested in gaining a deeper understanding of the mathematical structure of the theory. Throughout the coverage, which is limited to single-particle quantum mechanics, the focus is on formulating theory and developing applications in a mathematically precise manner. Following a review of selected key concepts in classical physics and the historical background, the basic elements of the theory of operators in Hilbert spaces are presented and used to formulate the rules of quantum mechanics. The discussion then turns to free particles, harmonic oscillators, delta potential, and hydrogen atoms, providing rigorous proofs of the corresponding dynamical properties. Starting from an analysis of these applications, readers are subsequently introduced to more advanced topics such as the classical limit, scattering theory, and spectral analysis of Schr?dinger operators. The main content is complemented by numerous exercises that stimulate interactive learning and help readers check their progress.
Дополнительное описание: Preface.- 1. Brief Review of Hamiltonian Mechanics and Electromagnetism.- 2. From Planck's Hypothesis to Bohr's Atom.- 3. Schrodinger Equation.- 4. Linear Operators in Hilbert Spaces.- 5. Rules of Quantum Mechanics.- 6. Free Particle.- 7. Harmonic Oscill



Geometry of Quantum States

Автор: Bengtsson Ingemar
Название: Geometry of Quantum States
ISBN: 1107026253 ISBN-13(EAN): 9781107026254
Издательство: Cambridge Academ
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Цена: 13779.00 р.
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Описание: The second edition of a book that has become a standard reference for researchers working on geometric aspects of quantum entanglement and quantum theory of information. Its comprehensive style makes it suitable for students of physics, information science, and mathematics wishing to learn more about quantum mechanics and quantum entanglement.

Back-of-the-Envelope Quantum Mechanics

Автор: Olshanii Maxim
Название: Back-of-the-Envelope Quantum Mechanics
ISBN: 9814508462 ISBN-13(EAN): 9789814508469
Издательство: World Scientific Publishing
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Цена: 7603.00 р.
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Описание: Dimensional and order-of-magnitude estimates are practiced by almost everybody but taught almost nowhere. When physics students engage in their first theoretical research project, they soon learn that exactly solvable problems belong only to textbooks, that numerical models are long and resource consuming, and that "something else" is needed to quickly gain insight into the system they are going to study. Qualitative methods are this "something else," but typically, students have never heard of them before.The aim of this book is to teach the craft of qualitative analysis using a set of problems, some with solutions and some without, in advanced undergraduate and beginning graduate Quantum Mechanics. Examples include a dimensional analysis solution for the spectrum of a quartic oscillator, simple WKB formulas for the matrix elements of a coordinate in a gravitational well, and a three-line-long estimate for the ionization energy of atoms uniformly valid across the whole periodic table. The pi ce de r sistance in the collection is a series of dimensional analysis questions in Integrable Nonlinear Partial Differential Equations with no dimensions existing a priori. Solved problems include the relationship between the size and the speed of solitons of the Korteweg-de Vries equation and an expression for the oscillation period of a Nonlinear Schr dinger breather as a function of its width.

The theory of quantum information

Автор: Watrous, John (university Of Waterloo, Ontario)
Название: The theory of quantum information
ISBN: 1107180562 ISBN-13(EAN): 9781107180567
Издательство: Cambridge Academ
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Цена: 11563.00 р.
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Описание: Intended for graduate students and researchers, this book presents a formal development of the mathematical theory of quantum information. Largely self-contained, with clear proofs and a wide range of exercises, it will help the reader grasp the fundamental facts and techniques that form the mathematical foundations of the subject.

First Course In Integral Equations, A (Second Edition)

Автор: Wazwaz Abdul-Majid
Название: First Course In Integral Equations, A (Second Edition)
ISBN: 9814675121 ISBN-13(EAN): 9789814675123
Издательство: World Scientific Publishing
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Цена: 6336.00 р.
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Описание: This second edition integrates the newly developed methods with classical techniques to give both modern and powerful approaches for solving integral equations.

A Mathematical Primer on Quantum Mechanics

Автор: Teta Alessandro
Название: A Mathematical Primer on Quantum Mechanics
ISBN: 3319778927 ISBN-13(EAN): 9783319778921
Издательство: Springer
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Цена: 7965.00 р.
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Описание: This book offers a rigorous yet elementary approach to quantum mechanics that will meet the needs of Master`s-level Mathematics students and is equally suitable for Physics students who are interested in gaining a deeper understanding of the mathematical structure of the theory.

Mathematical Physics: Classical Mechanics

Автор: Andreas Knauf; Jochen Denzler
Название: Mathematical Physics: Classical Mechanics
ISBN: 366255772X ISBN-13(EAN): 9783662557723
Издательство: Springer
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Цена: 11878.00 р.
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Описание: As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior.

An Introduction to the Functional Formulation of Quantum Mechanics

Автор: Girotti Horacio Oscar
Название: An Introduction to the Functional Formulation of Quantum Mechanics
ISBN: 9814520497 ISBN-13(EAN): 9789814520492
Издательство: World Scientific Publishing
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Цена: 7603.00 р.
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Описание: The functional formulation of quantum mechanics and relativistic quantum field theories are widely studied subjects. Nevertheless, certain aspects of this formulation are frequently overlooked, in spite of their relevance from a structural point of view. This book aims to fill up this gap. The non-relativistic regime has been found particularly appropriate for these purposes.

Topics in Modern Physics: Theoretical Foundations

Автор: Walecka John Dirk
Название: Topics in Modern Physics: Theoretical Foundations
ISBN: 9814436895 ISBN-13(EAN): 9789814436892
Издательство: World Scientific Publishing
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Цена: 6336.00 р.
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Описание: While the two previous books entitled Introduction to Modern Physics: Theoretical Foundations and Advanced Modern Physics: Theoretical Foundations exposed the reader to the foundations and frontiers of today's physics, the goal of this third volume is to cover in some detail several topics omitted in the essentially linear progression of the first two.This book is divided into three parts. Part 1 is on quantum mechanics. Analytic solutions to the Schr dinger equation are developed for some basic systems. The analysis is then formalized, concluding with a set of postulates for the theory. Part 2 is on applications of quantum mechanics: approximation methods for bound states, scattering theory, time-dependent perturbation theory, and electromagnetic radiation and quantum electrodynamics. Part 3 covers some selected topics in relativistic quantum field theory: discrete symmetries, the Heisenberg picture, and the Feynman rules for quantum chromodynamics.The three volumes in this series taken together provide a clear, logical, self-contained, and comprehensive base from which the very best students can learn modern physics. When finished, readers should have an elementary working knowledge in the principal areas of theoretical physics of the twentieth century.


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