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Quantum Mechanics In Mathematics Chemistry And Physics


Quantum Mechanics In Mathematics Chemistry And Physics
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Quantum Mechanics In Mathematics Chemistry And Physics


Quantum Mechanics In Mathematics Chemistry And Physics
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Author : Karl Gustafson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Quantum Mechanics In Mathematics Chemistry And Physics written by Karl Gustafson 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 Technology & Engineering categories.




Quantum Mechanics In Mathematics Chemistry And Physics


Quantum Mechanics In Mathematics Chemistry And Physics
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Author : Karl E Gustafson
language : en
Publisher:
Release Date : 1981-12-01

Quantum Mechanics In Mathematics Chemistry And Physics written by Karl E Gustafson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-12-01 with categories.




Mathematics For Quantum Chemistry


Mathematics For Quantum Chemistry
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Author : Jay Martin Anderson
language : en
Publisher: Courier Corporation
Release Date : 2012-12-13

Mathematics For Quantum Chemistry written by Jay Martin Anderson and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-13 with Science categories.


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.



Algebraic Methods In Quantum Chemistry And Physics


Algebraic Methods In Quantum Chemistry And Physics
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Author : Francisco M. Fernandez
language : en
Publisher: CRC Press
Release Date : 2020-01-16

Algebraic Methods In Quantum Chemistry And Physics written by Francisco M. Fernandez and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-16 with Mathematics categories.


Algebraic Methods in Quantum Chemistry and Physics provides straightforward presentations of selected topics in theoretical chemistry and physics, including Lie algebras and their applications, harmonic oscillators, bilinear oscillators, perturbation theory, numerical solutions of the Schrödinger equation, and parameterizations of the time-evolution operator. The mathematical tools described in this book are presented in a manner that clearly illustrates their application to problems arising in theoretical chemistry and physics. The application techniques are carefully explained with step-by-step instructions that are easy to follow, and the results are organized to facilitate both manual and numerical calculations. Algebraic Methods in Quantum Chemistry and Physics demonstrates how to obtain useful analytical results with elementary algebra and calculus and an understanding of basic quantum chemistry and physics.



A Mathematical Journey To Quantum Mechanics


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.



Introduction To Quantum Mechanics


Introduction To Quantum Mechanics
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Author : S.M. Blinder
language : en
Publisher: Academic Press
Release Date : 2020-10-09

Introduction To Quantum Mechanics written by S.M. Blinder and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-09 with Science categories.


Introduction to Quantum Mechanics, 2nd Edition provides an accessible, fully updated introduction to the principles of quantum mechanics. It outlines the fundamental concepts of quantum theory, discusses how these arose from classic experiments in chemistry and physics, and presents the quantum-mechanical foundations of current scientific developments.Beginning with a solid introduction to the key principles underpinning quantum mechanics in Part 1, the book goes on to expand upon these in Part 2, where fundamental concepts such as molecular structure and chemical bonding are discussed. Finally, Part 3 discusses applications of this quantum theory across some newly developing applications, including chapters on Density Functional Theory, Statistical Thermodynamics and Quantum Computing.Drawing on the extensive experience of its expert author, Introduction to Quantum Mechanics, 2nd Edition is a lucid introduction to the principles of quantum mechanics for anyone new to the field, and a useful refresher on fundamental knowledge and latest developments for those varying degrees of background. Presents a fully updated accounting that reflects the most recent developments in Quantum Theory and its applications Includes new chapters on Special Functions, Density Functional Theory, Statistical Thermodynamics and Quantum Computers Presents additional problems and exercises to further support learning



Concepts Of Mathematical Physics In Chemistry A Tribute To Frank E Harris Part B


Concepts Of Mathematical Physics In Chemistry A Tribute To Frank E Harris Part B
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Author :
language : en
Publisher: Academic Press
Release Date : 2016-01-14

Concepts Of Mathematical Physics In Chemistry A Tribute To Frank E Harris Part B 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 2016-01-14 with Science categories.


Concepts of Mathematical Physics in Chemistry: A Tribute to Frank E. Harris - Part B, presents a series of articles concerning important topics in quantum chemistry, including surveys of current topics in this rapidly-developing field that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry, and biology. Presents surveys of current topics in this rapidly-developing field that has emerged at the cross section of the historically established areas of mathematics, physics, chemistry, and biology Features detailed reviews written by leading international researchers



Neither Physics Nor Chemistry


Neither Physics Nor Chemistry
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Author : Kostas Gavroglu
language : en
Publisher: MIT Press
Release Date : 2011-10-07

Neither Physics Nor Chemistry written by Kostas Gavroglu and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-07 with Science categories.


The evolution of a discipline at the intersection of physics, chemistry, and mathematics. Quantum chemistry—a discipline that is not quite physics, not quite chemistry, and not quite applied mathematics—emerged as a field of study in the 1920s. It was referred to by such terms as mathematical chemistry, subatomic theoretical chemistry, molecular quantum mechanics, and chemical physics until the community agreed on the designation of quantum chemistry. In Neither Physics Nor Chemistry, Kostas Gavroglu and Ana Simões examine the evolution of quantum chemistry into an autonomous discipline, tracing its development from the publication of early papers in the 1920s to the dramatic changes brought about by the use of computers in the 1970s. The authors focus on the culture that emerged from the creative synthesis of the various traditions of chemistry, physics, and mathematics. They examine the concepts, practices, languages, and institutions of this new culture as well as the people who established it, from such pioneers as Walter Heitler and Fritz London, Linus Pauling, and Robert Sanderson Mulliken, to later figures including Charles Alfred Coulson, Raymond Daudel, and Per-Olov Löwdin. Throughout, the authors emphasize six themes: epistemic aspects and the dilemmas caused by multiple approaches; social issues, including academic politics, the impact of textbooks, and the forging of alliances; the contingencies that arose at every stage of the developments in quantum chemistry; the changes in the field when computers were available to perform the extraordinarily cumbersome calculations required; issues in the philosophy of science; and different styles of reasoning.



Elementary Methods Of Molecular Quantum Mechanics


Elementary Methods Of Molecular Quantum Mechanics
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Author : Valerio Magnasco
language : en
Publisher: Elsevier
Release Date : 2006-12-20

Elementary Methods Of Molecular Quantum Mechanics written by Valerio Magnasco and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-20 with Science categories.


Elementary Methods of Molecular Quantum Mechanics shows the methods of molecular quantum mechanics for graduate University students of Chemistry and Physics. This readable book teaches in detail the mathematical methods needed to do working applications in molecular quantum mechanics, as a preliminary step before using commercial programmes doing quantum chemistry calculations.This book aims to bridge the gap between the classic Coulson’s Valence, where application of wave mechanical principles to valence theory is presented in a fully non-mathematical way, and McWeeny’s Methods of Molecular Quantum Mechanics, where recent advances in the application of quantum mechanical methods to molecular problems are presented at a research level in a full mathematical way. Many examples and mathematical points are given as problems at the end of each chapter, with a hint for their solution. Solutions are then worked out in detail in the last section of each Chapter. * Uses clear and simplified examples to demonstrate the methods of molecular quantum mechanics * Simplifies all mathematical formulae for the reader* Provides educational training in basic methodology



Principles Of Quantum Mechanics


Principles Of Quantum Mechanics
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Author : Donald D. Fitts
language : en
Publisher: Cambridge University Press
Release Date : 1999-08-26

Principles Of Quantum Mechanics written by Donald D. Fitts 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 1999-08-26 with Science categories.


This text presents a rigorous mathematical account of the principles of quantum mechanics, in particular as applied to chemistry and chemical physics. Applications are used as illustrations of the basic theory. The first two chapters serve as an introduction to quantum theory, although it is assumed that the reader has been exposed to elementary quantum mechanics as part of an undergraduate physical chemistry or atomic physics course. Following a discussion of wave motion leading to Schrödinger's wave mechanics, the postulates of quantum mechanics are presented along with essential mathematical concepts and techniques. The postulates are rigorously applied to the harmonic oscillator, angular momentum, the hydrogen atom, the variation method, perturbation theory, and nuclear motion. Modern theoretical concepts such as hermitian operators, Hilbert space, Dirac notation, and ladder operators are introduced and used throughout. This text is appropriate for beginning graduate students in chemistry, chemical physics, molecular physics and materials science.