Variational Principles And Methods In Theoretical Physics And Chemistry
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Variational Principles And Methods In Theoretical Physics And Chemistry
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Author : Robert K. Nesbet
language : en
Publisher: Cambridge University Press
Release Date : 2002-11-14
Variational Principles And Methods In Theoretical Physics And Chemistry written by Robert K. Nesbet 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 2002-11-14 with Science categories.
This book brings together the essential ideas and methods behind applications of variational theory in theoretical physics and chemistry. The emphasis is on understanding physical and computational applications of variational methodology rather than on rigorous mathematical formalism. The text begins with an historical survey of familiar variational principles in classical mechanics and optimization theory, then proceeds to develop the variational principles and formalism behind current computational methodology for bound and continuum quantum states of interacting electrons in atoms, molecules, and condensed matter. It covers multiple-scattering theory, including a detailed presentation of contemporary methodology for electron-impact rotational and vibrational excitation of molecules. The book ends with an introduction to the variational theory of relativistic fields. Ideal for graduate students and researchers in any field that uses variational methodology, this book is particularly suitable as a backup reference for lecture courses in mathematical methods in physics and theoretical chemistry.
Variational Methods With Applications In Science And Engineering
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Author : Kevin W. Cassel
language : en
Publisher: Cambridge University Press
Release Date : 2013-07-22
Variational Methods With Applications In Science And Engineering written by Kevin W. Cassel 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 2013-07-22 with Mathematics categories.
This book reflects the strong connection between calculus of variations and the applications for which variational methods form the foundation.
The Nature Of Motive Force
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Author : Achintya Kumar Pramanick
language : en
Publisher: Springer
Release Date : 2014-08-23
The Nature Of Motive Force written by Achintya Kumar Pramanick and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-23 with Science categories.
In this monograph Prof. Pramanick explicates the law of motive force, a fundamental law of nature that can be observed and appreciated as an addition to the existing laws of thermodynamics. This unmistakable and remarkable tendency of nature is equally applicable to all other branches of studies. He first conceptualized the law of motive force in 1989, when he was an undergraduate student. Here he reports various applications of the law in the area of thermodynamics, heat transfer, fluid mechanics and solid mechanics, and shows how it is possible to solve analytically century-old unsolved problems through its application. This book offers a comprehensive account of the law and its relation to other laws and principles, such as the generalized conservation principle, variational formulation, Fermat’s principle, Bejan’s constructal law, entropy generation minimization, Bejan’s method of intersecting asymptotes and equipartition principle. Furthermore, the author addresses some interrelated fundamental problems of contemporary interest, especially to thermodynamicists, by combining analytical methods, physical reasoning and the proposed law of motive force. This foundational work is a valuable reading for both students and researchers in exact as well as non-exact sciences and, at the same time, a pleasant learning experience for the novice.
Quantum Nanochemistry Volume One
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Author : Mihai V. Putz
language : en
Publisher: CRC Press
Release Date : 2016-03-30
Quantum Nanochemistry Volume One written by Mihai V. Putz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-30 with Science categories.
Volume 1 of the 5-volume Quantum Nanochemistry set presents an overall perspective of nuclear, atomic, molecular, and solids structures, and the observability and quantum properties as based on the quantum principles in their various levels of applications, from Planck, Bohr, Einstein, Schrodinger, Hartree-Fock, up to Feynman Path Integral approach
Introduction To Lagrangian Mechanics An 2nd Edition
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Author : Alain J Brizard
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-11-28
Introduction To Lagrangian Mechanics An 2nd Edition written by Alain J Brizard 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 2014-11-28 with Science categories.
An Introduction to Lagrangian Mechanics begins with a proper historical perspective on the Lagrangian method by presenting Fermat's Principle of Least Time (as an introduction to the Calculus of Variations) as well as the principles of Maupertuis, Jacobi, and d'Alembert that preceded Hamilton's formulation of the Principle of Least Action, from which the Euler-Lagrange equations of motion are derived. Other additional topics not traditionally presented in undergraduate textbooks include the treatment of constraint forces in Lagrangian Mechanics; Routh's procedure for Lagrangian systems with symmetries; the art of numerical analysis for physical systems; variational formulations for several continuous Lagrangian systems; an introduction to elliptic functions with applications in Classical Mechanics; and Noncanonical Hamiltonian Mechanics and perturbation theory.The Second Edition includes a larger selection of examples and problems (with hints) in each chapter and continues the strong emphasis of the First Edition on the development and application of mathematical methods (mostly calculus) to the solution of problems in Classical Mechanics.New material has been added to most chapters. For example, a new derivation of the Noether theorem for discrete Lagrangian systems is given and a modified Rutherford scattering problem is solved exactly to show that the total scattering cross section associated with a confined potential (i.e., which vanishes beyond a certain radius) yields the hard-sphere result. The Frenet-Serret formulas for the Coriolis-corrected projectile motion are presented, where the Frenet-Serret torsion is shown to be directly related to the Coriolis deflection, and a new treatment of the sleeping-top problem is given.
A Primer On The Calculus Of Variations And Optimal Control Theory
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Author : Mike Mesterton-Gibbons
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
A Primer On The Calculus Of Variations And Optimal Control Theory written by Mike Mesterton-Gibbons 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 Mathematics categories.
The calculus of variations is used to find functions that optimize quantities expressed in terms of integrals. Optimal control theory seeks to find functions that minimize cost integrals for systems described by differential equations. This book is an introduction to both the classical theory of the calculus of variations and the more modern developments of optimal control theory from the perspective of an applied mathematician. It focuses on understanding concepts and how to apply them. The range of potential applications is broad: the calculus of variations and optimal control theory have been widely used in numerous ways in biology, criminology, economics, engineering, finance, management science, and physics. Applications described in this book include cancer chemotherapy, navigational control, and renewable resource harvesting. The prerequisites for the book are modest: the standard calculus sequence, a first course on ordinary differential equations, and some facility with the use of mathematical software. It is suitable for an undergraduate or beginning graduate course, or for self study. It provides excellent preparation for more advanced books and courses on the calculus of variations and optimal control theory.
Theoretical Analyses Computations And Experiments Of Multiscale Materials
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Author : Ivan Giorgio
language : en
Publisher: Springer Nature
Release Date : 2022-05-03
Theoretical Analyses Computations And Experiments Of Multiscale Materials written by Ivan Giorgio and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-03 with Science categories.
This book is devoted to the 60th birthday of the Prof. Francesco dell’Isola, who is known for his long-term contribution in the field of multiscale materials. It contains several contributions from researchers in the field, covering theoretical analyses, computational aspects and experiments.
Perspectives On Structure And Mechanism In Organic Chemistry
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Author : Felix A. Carroll
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-20
Perspectives On Structure And Mechanism In Organic Chemistry written by Felix A. Carroll and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-20 with Science categories.
Helps to develop new perspectives and a deeper understanding of organic chemistry Instructors and students alike have praised Perspectives on Structure and Mechanism in Organic Chemistry because it motivates readers to think about organic chemistry in new and exciting ways. Based on the author's first hand classroom experience, the text uses complementary conceptual models to give new perspectives on the structures and reactions of organic compounds. The first five chapters of the text discuss the structure and bonding of stable molecules and reactive intermediates. These are followed by a chapter exploring the methods that organic chemists use to study reaction mechanisms. The remaining chapters examine different types of acid-base, substitution, addition, elimination, pericyclic, and photochemical reactions. This Second Edition has been thoroughly updated and revised to reflect the latest findings in physical organic chemistry. Moreover, this edition features: New references to the latest primary and review literature More study questions to help readers better understand and apply new concepts in organic chemistry Coverage of new topics, including density functional theory, quantum theory of atoms in molecules, Marcus theory, molecular simulations, effect of solvent on organic reactions, asymmetric induction in nucleophilic additions to carbonyl compounds, and dynamic effects on reaction pathways The nearly 400 problems in the text do more than allow students to test their understanding of the concepts presented in each chapter. They also encourage readers to actively review and evaluate the chemical literature and to develop and defend their own ideas. With its emphasis on complementary models and independent problem-solving, this text is ideal for upper-level undergraduate and graduate courses in organic chemistry.
Introduction To Quantum Mechanics With Applications To Chemistry
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Author : Linus Pauling
language : en
Publisher: Courier Corporation
Release Date : 2012-06-08
Introduction To Quantum Mechanics With Applications To Chemistry written by Linus Pauling and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-08 with Science categories.
Classic undergraduate text explores wave functions for the hydrogen atom, perturbation theory, the Pauli exclusion principle, and the structure of simple and complex molecules. Numerous tables and figures.
Enzyme Catalysis Today And The Chemistry Of The 21st Century
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Author : Gertz I. Likhtenshtein
language : en
Publisher: Springer Nature
Release Date : 2025-02-17
Enzyme Catalysis Today And The Chemistry Of The 21st Century written by Gertz I. Likhtenshtein and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-17 with Science categories.
This book examines enzymatic reactions from the standpoint of physical chemistry. An introductory chapter gives a brief overview of the role of enzymes in metabolism, biotechnology and medicine, while describing the framework for chemical mimicry of enzyme reactions. Subsequent chapters of the book are devoted to a general overview of vital enzyme processes, methods of enzyme kinetic reactions, the theory of elementary mechanisms, oriental, dynamic and polar factors affecting enzyme catalysts, as well as the current status and prospects of enzyme chemical modeling. The book gives particular attention to chemical reactions highly important in modern research efforts, such as the conversion of light energy into chemical energy with a high quantum yield, photooxidation of water, reduction of atmospheric nitrogen, and utilization of carbon dioxide in ambient conditions. The book is intended for scientists working on enzyme catalysis and the adjacent areas such as chemical modeling of biological processes, homogeneous catalysis, biomedical research, biotechnology and bioengineering. In addition, it can serve as secondary instructional material for graduate and undergraduate students of chemistry, medicine, biochemistry, biophysics, biophysiology, and bioengineering.