Lectures On Quantum Mechanics For Mathematics Students

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Lectures On Quantum Mechanics For Mathematics Students

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Author : L. D. Faddeev
language : en
Publisher: American Mathematical Soc.
Release Date : 2009

Lectures On Quantum Mechanics For Mathematics Students written by L. D. Faddeev and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Quantum theory categories.

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.

Lectures On The Mathematics Of Quantum Mechanics I

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Author : Gianfausto Dell'Antonio
language : en
Publisher: Springer
Release Date : 2015-05-25

Lectures On The Mathematics Of Quantum Mechanics I written by Gianfausto Dell'Antonio and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-25 with Science categories.

The first volume (General Theory) differs from most textbooks as it emphasizes the mathematical structure and mathematical rigor, while being adapted to the teaching the first semester of an advanced course in Quantum Mechanics (the content of the book are the lectures of courses actually delivered.). It differs also from the very few texts in Quantum Mechanics that give emphasis to the mathematical aspects because this book, being written as Lecture Notes, has the structure of lectures delivered in a course, namely introduction of the problem, outline of the relevant points, mathematical tools needed, theorems, proofs. This makes this book particularly useful for self-study and for instructors in the preparation of a second course in Quantum Mechanics (after a first basic course). With some minor additions it can be used also as a basis of a first course in Quantum Mechanics for students in mathematics curricula. The second part (Selected Topics) are lecture notes of a more advanced course aimed at giving the basic notions necessary to do research in several areas of mathematical physics connected with quantum mechanics, from solid state to singular interactions, many body theory, semi-classical analysis, quantum statistical mechanics. The structure of this book is suitable for a second-semester course, in which the lectures are meant to provide, in addition to theorems and proofs, an overview of a more specific subject and hints to the direction of research. In this respect and for the width of subjects this second volume differs from other monographs on Quantum Mechanics. The second volume can be useful for students who want to have a basic preparation for doing research and for instructors who may want to use it as a basis for the presentation of selected topics.

Lectures On Quantum Mechanics

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Author : Philip L. Bowers
language : en
Publisher: Cambridge University Press
Release Date : 2020-09-17

Lectures On Quantum Mechanics written by Philip L. Bowers 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 2020-09-17 with Science categories.

A leisurely but mathematically honest presentation of quantum mechanics for graduate students in mathematics with an interest in physics.

Lectures On Quantum Mechanics

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Author : Paul A. M. Dirac
language : en
Publisher: Courier Corporation
Release Date : 2013-05-27

Lectures On Quantum Mechanics written by Paul A. M. Dirac and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-27 with Science categories.

Four concise, brilliant lectures on mathematical methods in quantum mechanics from Nobel Prize–winning quantum pioneer build on idea of visualizing quantum theory through the use of classical mechanics.

Lectures On The Mathematics Of Quantum Mechanics Ii Selected Topics

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Author : Gianfausto Dell'Antonio
language : en
Publisher: Springer
Release Date : 2016-05-24

Lectures On The Mathematics Of Quantum Mechanics Ii Selected Topics written by Gianfausto Dell'Antonio and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-24 with Science categories.

The first volume (General Theory) differs from most textbooks as it emphasizes the mathematical structure and mathematical rigor, while being adapted to the teaching the first semester of an advanced course in Quantum Mechanics (the content of the book are the lectures of courses actually delivered.). It differs also from the very few texts in Quantum Mechanics that give emphasis to the mathematical aspects because this book, being written as Lecture Notes, has the structure of lectures delivered in a course, namely introduction of the problem, outline of the relevant points, mathematical tools needed, theorems, proofs. This makes this book particularly useful for self-study and for instructors in the preparation of a second course in Quantum Mechanics (after a first basic course). With some minor additions it can be used also as a basis of a first course in Quantum Mechanics for students in mathematics curricula. The second part (Selected Topics) are lecture notes of a more advanced course aimed at giving the basic notions necessary to do research in several areas of mathematical physics connected with quantum mechanics, from solid state to singular interactions, many body theory, semi-classical analysis, quantum statistical mechanics. The structure of this book is suitable for a second-semester course, in which the lectures are meant to provide, in addition to theorems and proofs, an overview of a more specific subject and hints to the direction of research. In this respect and for the width of subjects this second volume differs from other monographs on Quantum Mechanics. The second volume can be useful for students who want to have a basic preparation for doing research and for instructors who may want to use it as a basis for the presentation of selected topics.

Lectures On Quantum Theory Mathematical And Structural Foundations

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Author : Chris J. Isham
language : en
Publisher: Allied Publishers
Release Date : 2001

Lectures On Quantum Theory Mathematical And Structural Foundations written by Chris J. Isham and has been published by Allied Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematical physics categories.

Lectures On Quantum Theory

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Author : C. J. Isham
language : en
Publisher: Imperial College Press
Release Date : 1995-01-01

Lectures On Quantum Theory written by C. J. Isham and has been published by Imperial College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-01 with Mathematics categories.

This book is based on material taught to final-year physics undergraduates as part of the theoretical physics option at Imperial College. After a self-contained introduction to the essential ideas of vector spaces and linear operators, a bridge is built between the concepts and mathematics of classical physics, and the new mathematical framework employed in quantum mechanics. The axioms of nonrelativistic quantum theory are introduced, and shown to lead to a variety of new conceptual problems. Subjects discussed include state-vector reduction, the problem of measurement, quantum entanglement, the Kochen-Specker theorem, and the Bell inequalities. The book includes twenty-five problems with worked solutions. In the US it could serve as an excellent supplement for an introductory graduate course on quantum mechanics ... The discursive style and clear exposition make for equally attractive reading by someone familiar with the subject or by a student with only rudimentary knowledge .... The main text is supplemented by a substantial number of problems with solutions, which should help the beginner master the mathematics .. I would strongly recommend that anyone teaching the subject use this little book as supplementary reading". Physics Today (USA), Aug 1996 "The proper role of mathematics is to make things easy. When something can be expressed in the precise language of mathematics, results can be obtained by the application of given rules. Calculations are so simple that even computers can do them. Chris Isham's lectures on the mathematical and structural foundations of quantum theory, reproduced in this book, provide an excellent illustration of this truth ... a welcome addition tothe modern literature on quantum theory ... It is good to have a book that gives such an excellent description of the mathematical structure of quantum theory ..". Times Higher Educational Supp. (UK), 1996

Lectures On The Mathematics Of Quantum Mechanics

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Author : Gianfausto Dell'Antonio
language : en
Publisher:
Release Date : 2015

Lectures On The Mathematics Of Quantum Mechanics written by Gianfausto Dell'Antonio and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.

A Mathematical Journey To Quantum Mechanics

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Author : Salvatore Capozziello
language : en
Publisher: Springer Nature
Release Date : 2021-09-27

A Mathematical Journey To Quantum Mechanics written by Salvatore Capozziello and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-27 with Science categories.

This book provides an itinerary to quantum mechanics taking into account the basic mathematics to formulate it. Specifically, it features the main experiments and postulates of quantum mechanics pointing out their mathematical prominent aspects showing how physical concepts and mathematical tools are deeply intertwined. The material covers topics such as analytic mechanics in Newtonian, Lagrangian, and Hamiltonian formulations, theory of light as formulated in special relativity, and then why quantum mechanics is necessary to explain experiments like the double-split, atomic spectra, and photoelectric effect. The Schrödinger equation and its solutions are developed in detail. It is pointed out that, starting from the concept of the harmonic oscillator, it is possible to develop advanced quantum mechanics. Furthermore, the mathematics behind the Heisenberg uncertainty principle is constructed towards advanced quantum mechanical principles. Relativistic quantum mechanics is finally considered.The book is devoted to undergraduate students from University courses of Physics, Mathematics, Chemistry, and Engineering. It consists of 50 self-contained lectures, and any statement and theorem are demonstrated in detail. It is the companion book of "A Mathematical Journey to Relativity", by the same Authors, published by Springer in 2020.

Mathematical Physics Of Quantum Mechanics

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Author : Joachim Asch
language : en
Publisher: Springer
Release Date : 2006-09-09

Mathematical Physics Of Quantum Mechanics written by Joachim Asch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-09 with Science categories.

This selection of outstanding articles – an outgrowth of the QMath9 meeting for young scientists – covers new techniques and recent results on spectral theory, statistical mechanics, Bose-Einstein condensation, random operators, magnetic Schrödinger operators and more. The book’s pedagogical style makes it a useful introduction to the research literature for postgraduate students. For more expert researchers it will serve as a concise source of modern reference.