Hilbert Space And Quantum Mechanics


Hilbert Space And Quantum Mechanics
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Hilbert Space And Quantum Mechanics


Hilbert Space And Quantum Mechanics
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Author : Franco Gallone
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-12-23

Hilbert Space And Quantum Mechanics written by Franco Gallone and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-23 with Science categories.


The topics of this book are the mathematical foundations of non-relativistic quantum mechanics and the mathematical theory they require. The main characteristic of the book is that the mathematics is developed assuming familiarity with elementary analysis only. Moreover, all the proofs are carried out in detail. These features make the book easily accessible to readers with only the mathematical training offered by undergraduate education in mathematics or in physics, and also ideal for individual study. The principles of quantum mechanics are discussed with complete mathematical accuracy and an effort is made to always trace them back to the experimental reality that lies at their root. The treatment of quantum mechanics is axiomatic, with definitions followed by propositions proved in a mathematical fashion. No previous knowledge of quantum mechanics is required. This book is designed so that parts of it can be easily used for various courses in mathematics and mathematical physics, as suggested in the Preface. The book is of interest to researchers and graduate students in functional analysis, who can see how closely an important part of their chosen field is linked with quantum mechanics, and also to physicists, who can see how the abstract language of functional analysis brings unity to the apparently distinct approaches employed in quantum theory.



Hilbert Space Operators In Quantum Physics


Hilbert Space Operators In Quantum Physics
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Author : Jirí Blank
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-24

Hilbert Space Operators In Quantum Physics written by Jirí Blank 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 2008-09-24 with Science categories.


The new edition of this book detailing the theory of linear-Hilbert space operators and their use in quantum physics contains two new chapters devoted to properties of quantum waveguides and quantum graphs. The bibliography contains 130 new items.



The Rigged Hilbert Space And Quantum Mechanics


The Rigged Hilbert Space And Quantum Mechanics
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Author : Arno Böhm
language : en
Publisher: Springer
Release Date : 1978

The Rigged Hilbert Space And Quantum Mechanics written by Arno Böhm and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Science categories.




Twenty First Century Quantum Mechanics Hilbert Space To Quantum Computers


Twenty First Century Quantum Mechanics Hilbert Space To Quantum Computers
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Author : Guido Fano
language : en
Publisher: Springer
Release Date : 2017-06-27

Twenty First Century Quantum Mechanics Hilbert Space To Quantum Computers written by Guido Fano and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-27 with Science categories.


This book is designed to make accessible to nonspecialists the still evolving concepts of quantum mechanics and the terminology in which these are expressed. The opening chapters summarize elementary concepts of twentieth century quantum mechanics and describe the mathematical methods employed in the field, with clear explanation of, for example, Hilbert space, complex variables, complex vector spaces and Dirac notation, and the Heisenberg uncertainty principle. After detailed discussion of the Schrödinger equation, subsequent chapters focus on isotropic vectors, used to construct spinors, and on conceptual problems associated with measurement, superposition, and decoherence in quantum systems. Here, due attention is paid to Bell’s inequality and the possible existence of hidden variables. Finally, progression toward quantum computation is examined in detail: if quantum computers can be made practicable, enormous enhancements in computing power, artificial intelligence, and secure communication will result. This book will be of interest to a wide readership seeking to understand modern quantum mechanics and its potential applications.



Quantum Mechanics In Hilbert Space


Quantum Mechanics In Hilbert Space
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Author : Eduard Prugovecki
language : en
Publisher: Courier Corporation
Release Date : 2013-07-02

Quantum Mechanics In Hilbert Space written by Eduard Prugovecki and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-02 with Science categories.


A critical presentation of the basic mathematics of nonrelativistic quantum mechanics, this text is suitable for courses in functional analysis at the advanced undergraduate and graduate levels. Its readable and self-contained form is accessible even to students without an extensive mathematical background. Applications of basic theorems to quantum mechanics make it of particular interest to mathematicians working in functional analysis and related areas. This text features the rigorous proofs of all the main functional-analytic statements encountered in books on quantum mechanics. It fills the gap between strictly physics- and mathematics-oriented texts on Hilbert space theory as applied to nonrelativistic quantum mechanics. Organized in the form of definitions, theorems, and proofs of theorems, it allows readers to immediately grasp the basic concepts and results. Exercises appear throughout the text, with hints and solutions at the end.



An Introduction To Hilbert Space And Quantum Logic


An Introduction To Hilbert Space And Quantum Logic
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Author : David W. Cohen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

An Introduction To Hilbert Space And Quantum Logic written by David W. Cohen 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 2012-12-06 with Science categories.


Historically, nonclassical physics developed in three stages. First came a collection of ad hoc assumptions and then a cookbook of equations known as "quantum mechanics". The equations and their philosophical underpinnings were then collected into a model based on the mathematics of Hilbert space. From the Hilbert space model came the abstaction of "quantum logics". This book explores all three stages, but not in historical order. Instead, in an effort to illustrate how physics and abstract mathematics influence each other we hop back and forth between a purely mathematical development of Hilbert space, and a physically motivated definition of a logic, partially linking the two throughout, and then bringing them together at the deepest level in the last two chapters. This book should be accessible to undergraduate and beginning graduate students in both mathematics and physics. The only strict prerequisites are calculus and linear algebra, but the level of mathematical sophistication assumes at least one or two intermediate courses, for example in mathematical analysis or advanced calculus. No background in physics is assumed.



Hilbert Space Methods In Quantum Mechanics


Hilbert Space Methods In Quantum Mechanics
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Author : Werner O. Amrein
language : en
Publisher: EPFL Press
Release Date : 2009-01-01

Hilbert Space Methods In Quantum Mechanics written by Werner O. Amrein and has been published by EPFL Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-01 with Mathematics categories.


The necessary foundation in quantum mechanics is covered in this book. Topics include basic properties of Hibert spaces, scattering theory, and a number of applications such as the S-matrix, time delay, and the Flux-Across-Surfaces Theorem.



Quantum Mechanics In Hilbert Space


Quantum Mechanics In Hilbert Space
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Author :
language : en
Publisher: Academic Press
Release Date : 2003-02-13

Quantum Mechanics In Hilbert Space written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-02-13 with Mathematics categories.


Quantum Mechanics in Hilbert Space



Quantum Computation And Quantum Information


Quantum Computation And Quantum Information
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Author : Michael A. Nielsen
language : en
Publisher: Cambridge University Press
Release Date : 2010-12-09

Quantum Computation And Quantum Information written by Michael A. Nielsen 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 2010-12-09 with Science categories.


One of the most cited books in physics of all time, Quantum Computation and Quantum Information remains the best textbook in this exciting field of science. This 10th anniversary edition includes an introduction from the authors setting the work in context. This comprehensive textbook describes such remarkable effects as fast quantum algorithms, quantum teleportation, quantum cryptography and quantum error-correction. Quantum mechanics and computer science are introduced before moving on to describe what a quantum computer is, how it can be used to solve problems faster than 'classical' computers and its real-world implementation. It concludes with an in-depth treatment of quantum information. Containing a wealth of figures and exercises, this well-known textbook is ideal for courses on the subject, and will interest beginning graduate students and researchers in physics, computer science, mathematics, and electrical engineering.



Quantum Mechanics In Hilbert Space


Quantum Mechanics In Hilbert Space
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Author : Eduard Prugověcki
language : en
Publisher:
Release Date : 1984

Quantum Mechanics In Hilbert Space written by Eduard Prugověcki and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.