Quantum Mathematics Ii

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Quantum Mathematics II

Michele Correggi,Marco Falconi
Quantum Mathematics II Book PDF

Author : Michele Correggi,Marco Falconi
Publisher : Springer
Page : 0 pages
File Size : 53,9 Mb
Release : 2024-01-04
Category : Science
ISBN : 9819958830

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Quantum Mathematics II by Michele Correggi,Marco Falconi Pdf

This book is the second volume that provides an unique overview of the most recent and relevant contributions in the field of mathematical physics with a focus on the mathematical features of quantum mechanics. It is a collection of review papers together with brand new works related to the activities of the INdAM Intensive Period "INdAM Quantum Meetings (IQM22)", which took place at the Politecnico di Milano in Spring 2022 at Politecnico di Milano. The range of topics covered by the book is wide, going ranging from many-body quantum mechanics to quantum field theory and open quantum systems.

Mathematics of Classical and Quantum Physics

Frederick W. Byron,Robert W. Fuller
Mathematics of Classical and Quantum Physics Book PDF

Author : Frederick W. Byron,Robert W. Fuller
Publisher : Courier Corporation
Page : 674 pages
File Size : 50,8 Mb
Release : 2012-04-26
Category : Science
ISBN : 9780486135069

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Mathematics of Classical and Quantum Physics by Frederick W. Byron,Robert W. Fuller Pdf

Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.

Quantum Theory for Mathematicians

Brian C. Hall
Quantum Theory for Mathematicians Book PDF

Author : Brian C. Hall
Publisher : Springer Science & Business Media
Page : 566 pages
File Size : 42,9 Mb
Release : 2013-06-19
Category : Science
ISBN : 9781461471165

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Quantum Theory for Mathematicians by Brian C. Hall Pdf

Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.

Quantum Mechanics for Mathematicians

Leon Armenovich Takhtadzhi͡an
Quantum Mechanics for Mathematicians Book PDF

Author : Leon Armenovich Takhtadzhi͡an
Publisher : American Mathematical Soc.
Page : 410 pages
File Size : 47,7 Mb
Release : 2008
Category : Mathematics
ISBN : 9780821846308

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Quantum Mechanics for Mathematicians by Leon Armenovich Takhtadzhi͡an Pdf

Presents a comprehensive treatment of quantum mechanics from a mathematics perspective. Including traditional topics, like classical mechanics, mathematical foundations of quantum mechanics, quantization, and the Schrodinger equation, this book gives a mathematical treatment of systems of identical particles with spin.

Lectures on Quantum Mechanics for Mathematics Students

L. D. Faddeev,Oleg Aleksandrovich I︠A︡kubovskiĭ
Lectures on Quantum Mechanics for Mathematics Students Book PDF

Author : L. D. Faddeev,Oleg Aleksandrovich I︠A︡kubovskiĭ
Publisher : American Mathematical Soc.
Page : 250 pages
File Size : 48,9 Mb
Release : 2009
Category : Quantum theory
ISBN : 9780821846995

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Lectures on Quantum Mechanics for Mathematics Students by L. D. Faddeev,Oleg Aleksandrovich I︠A︡kubovskiĭ Pdf

Describes the relation between classical and quantum mechanics. This book contains a discussion of problems related to group representation theory and to scattering theory. It intends to give a mathematically oriented student the opportunity to grasp the main points of quantum theory in a mathematical framework.

The Theoretical Minimum

Leonard Susskind,George Hrabovsky
The Theoretical Minimum Book PDF

Author : Leonard Susskind,George Hrabovsky
Publisher : Basic Books
Page : 165 pages
File Size : 47,6 Mb
Release : 2014-04-22
Category : Education
ISBN : 9780465038923

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The Theoretical Minimum by Leonard Susskind,George Hrabovsky Pdf

A master teacher presents the ultimate introduction to classical mechanics for people who are serious about learning physics "Beautifully clear explanations of famously 'difficult' things," -- Wall Street Journal If you ever regretted not taking physics in college -- or simply want to know how to think like a physicist -- this is the book for you. In this bestselling introduction to classical mechanics, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Challenging, lucid, and concise, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace.

Mathematical Methods in Quantum Mechanics

Gerald Teschl
Mathematical Methods in Quantum Mechanics Book PDF

Author : Gerald Teschl
Publisher : American Mathematical Soc.
Page : 322 pages
File Size : 49,7 Mb
Release : 2009
Category : Mathematics
ISBN : 9780821846605

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Mathematical Methods in Quantum Mechanics by Gerald Teschl Pdf

Quantum mechanics and the theory of operators on Hilbert space have been deeply linked since their beginnings in the early twentieth century. States of a quantum system correspond to certain elements of the configuration space and observables correspond to certain operators on the space. This book is a brief, but self-contained, introduction to the mathematical methods of quantum mechanics, with a view towards applications to Schrodinger operators. Part 1 of the book is a concise introduction to the spectral theory of unbounded operators. Only those topics that will be needed for later applications are covered. The spectral theorem is a central topic in this approach and is introduced at an early stage. Part 2 starts with the free Schrodinger equation and computes the free resolvent and time evolution. Position, momentum, and angular momentum are discussed via algebraic methods. Various mathematical methods are developed, which are then used to compute the spectrum of the hydrogen atom. Further topics include the nondegeneracy of the ground state, spectra of atoms, and scattering theory. This book serves as a self-contained introduction to spectral theory of unbounded operators in Hilbert space with full proofs and minimal prerequisites: Only a solid knowledge of advanced calculus and a one-semester introduction to complex analysis are required. In particular, no functional analysis and no Lebesgue integration theory are assumed. It develops the mathematical tools necessary to prove some key results in nonrelativistic quantum mechanics. Mathematical Methods in Quantum Mechanics is intended for beginning graduate students in both mathematics and physics and provides a solid foundation for reading more advanced books and current research literature. It is well suited for self-study and includes numerous exercises (many with hints).

Mathematics of Quantum Computing

Wolfgang Scherer
Mathematics of Quantum Computing Book PDF

Author : Wolfgang Scherer
Publisher : Springer Nature
Page : 764 pages
File Size : 41,8 Mb
Release : 2019-11-13
Category : Computers
ISBN : 9783030123581

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Mathematics of Quantum Computing by Wolfgang Scherer Pdf

This textbook presents the elementary aspects of quantum computing in a mathematical form. It is intended as core or supplementary reading for physicists, mathematicians, and computer scientists taking a first course on quantum computing. It starts by introducing the basic mathematics required for quantum mechanics, and then goes on to present, in detail, the notions of quantum mechanics, entanglement, quantum gates, and quantum algorithms, of which Shor's factorisation and Grover's search algorithm are discussed extensively. In addition, the algorithms for the Abelian Hidden Subgroup and Discrete Logarithm problems are presented and the latter is used to show how the Bitcoin digital signature may be compromised. It also addresses the problem of error correction as well as giving a detailed exposition of adiabatic quantum computing. The book contains around 140 exercises for the student, covering all of the topics treated, together with an appendix of solutions.

Quantum Mechanics of One- and Two-Electron Atoms

Hans A. Bethe,E.E. Salpeter
Quantum Mechanics of One and Two Electron Atoms Book PDF

Author : Hans A. Bethe,E.E. Salpeter
Publisher : Springer Science & Business Media
Page : 375 pages
File Size : 47,9 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662128695

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Quantum Mechanics of One- and Two-Electron Atoms by Hans A. Bethe,E.E. Salpeter Pdf

Nearly all of this book is taken from an article prepared for a volume of the Encyclopedia of Physics. This article, in turn, is partly based on Dr. Norbert Rosenzweig's translation of an older article on the same subject, written by one of us (H.A.B.) about 25 years ago for the Geiger-Scheel Handbuch der Physik. To the article written last year we have added some Addenda and Errata. These Addenda and Errata refer back to some of the 79 sections of the main text and contain some misprint corrections, additional references and some notes. The aim of this book is two-fold. First, to act as a reference work on calcu lations pertaining to hydrogen-like and helium-like atoms and their comparison with experiments. However, these calculations involve a vast array of approximation methods, mathematical tricks and physical pictures, which are also useful in the application of quantum mechanics to other fields. In many sections we have given more general discussions of the methods and physical ideas than is necessary for the study of the H- and He-atom alone. We hope that this book will thus at least partly fulfill its second aim, namely to be of some use to graduate students who wish to learn "applied quantum mechanics". A basic knowledge of the principles of quantum mechanics, such as given in the early chapters of Schiff's or Bohm's book, is presupposed.

Quantum Mathematics II

Michele Correggi,Marco Falconi
Quantum Mathematics II Book PDF

Author : Michele Correggi,Marco Falconi
Publisher : Springer Nature
Page : 371 pages
File Size : 40,8 Mb
Release : 2024-01-09
Category : Science
ISBN : 9789819958849

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Quantum Mathematics II by Michele Correggi,Marco Falconi Pdf

This book is the second volume that provides an unique overview of the most recent and relevant contributions in the field of mathematical physics with a focus on the mathematical features of quantum mechanics. It is a collection of review papers together with brand new works related to the activities of the INdAM Intensive Period "INdAM Quantum Meetings (IQM22)", which took place at the Politecnico di Milano in Spring 2022 at Politecnico di Milano. The range of topics covered by the book is wide, going ranging from many-body quantum mechanics to quantum field theory and open quantum systems.

Mathematics for Quantum Chemistry

Jay Martin Anderson
Mathematics for Quantum Chemistry Book PDF

Author : Jay Martin Anderson
Publisher : Courier Corporation
Page : 177 pages
File Size : 49,7 Mb
Release : 2012-12-13
Category : Science
ISBN : 9780486151489

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Mathematics for Quantum Chemistry by Jay Martin Anderson Pdf

Introduction to problems of molecular structure and motion covers calculus of orthogonal functions, algebra of vector spaces, and Lagrangian and Hamiltonian formulation of classical mechanics. Answers to problems. 1966 edition.

Introduction to Quantum Mechanics

David J. Griffiths,Darrell F. Schroeter
Introduction to Quantum Mechanics Book PDF

Author : David J. Griffiths,Darrell F. Schroeter
Publisher : Cambridge University Press
Page : 512 pages
File Size : 54,6 Mb
Release : 2019-11-20
Category : Science
ISBN : 9781108103145

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Introduction to Quantum Mechanics by David J. Griffiths,Darrell F. Schroeter Pdf

Changes and additions to the new edition of this classic textbook include a new chapter on symmetries, new problems and examples, improved explanations, more numerical problems to be worked on a computer, new applications to solid state physics, and consolidated treatment of time-dependent potentials.

Quantum Groups

Christian Kassel
Quantum Groups Book PDF

Author : Christian Kassel
Publisher : Springer Science & Business Media
Page : 540 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461207832

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Quantum Groups by Christian Kassel Pdf

Here is an introduction to the theory of quantum groups with emphasis on the spectacular connections with knot theory and Drinfeld's recent fundamental contributions. It presents the quantum groups attached to SL2 as well as the basic concepts of the theory of Hopf algebras. Coverage also focuses on Hopf algebras that produce solutions of the Yang-Baxter equation and provides an account of Drinfeld's elegant treatment of the monodromy of the Knizhnik-Zamolodchikov equations.

Quantum Mechanics

Albert Messiah
Quantum Mechanics Book PDF

Author : Albert Messiah
Publisher : Elsevier
Page : 652 pages
File Size : 49,9 Mb
Release : 1961
Category : Science
ISBN : 0720400457

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Quantum Mechanics by Albert Messiah Pdf

Subjects include formalism and its interpretation, analysis of simple systems, symmetries and invariance, methods of approximation, elements of relativistic quantum mechanics, much more. "Strongly recommended." -- "American Journal of Physics."

An Introduction to the Mathematical Structure of Quantum Mechanics

F. Strocchi
An Introduction to the Mathematical Structure of Quantum Mechanics Book PDF

Author : F. Strocchi
Publisher : World Scientific
Page : 193 pages
File Size : 53,9 Mb
Release : 2008
Category : Science
ISBN : 9789812835222

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An Introduction to the Mathematical Structure of Quantum Mechanics by F. Strocchi Pdf

Arising out of the need for Quantum Mechanics (QM) to be part of the common education of mathematics students, this book formulates the mathematical structure of QM in terms of the C*-algebra of observables, which is argued on the basis of the operational definition of measurements and the duality between states and observables.