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Conical Intersections In Physics
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Book Synopsis Conical Intersections in Physics by : Jonas Larson
Download or read book Conical Intersections in Physics written by Jonas Larson and published by Springer Nature. This book was released on 2020-01-31 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise book introduces and discusses the basic theory of conical intersections with applications in atomic, molecular and condensed matter physics. Conical intersections are linked to the energy of quantum systems. They can occur in any physical system characterized by both slow and fast degrees of freedom - such as e.g. the fast electrons and slow nuclei of a vibrating and rotating molecule - and are important when studying the evolution of quantum systems controlled by classical parameters. Furthermore, they play a relevant role for understanding the topological properties of condensed matter systems. Conical intersections are associated with many interesting features, such as a breakdown of the Born-Oppenheimer approximation and the appearance of nontrivial artificial gauge structures, similar to the Aharonov-Bohm effect. Some applications presented in this book include - Molecular Systems: some molecules in nonlinear nuclear configurations undergo Jahn-Teller distortions under which the molecule lower their symmetry if the electronic states belong to a degenerate irreducible representation of the molecular point group. - Solid State Physics: different types of Berry phases associated with conical intersections can be used to detect topologically nontrivial states of matter, such as topological insulators, Weyl semi-metals, as well as Majorana fermions in superconductors. - Cold Atoms: the motion of cold atoms in slowly varying inhomogeneous laser fields is governed by artificial gauge fields that arise when averaging over the fast internal degrees of freedom of the atoms. These gauge fields can be Abelian or non-Abelian, which opens up the possibility to create analogs to various relativistic effects at low speed.
Book Synopsis Conical Intersections by : Wolfgang Domcke
Download or read book Conical Intersections written by Wolfgang Domcke and published by World Scientific. This book was released on 2004-07-14 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is widely recognized nowadays that conical intersections of molecular potential-energy surfaces play a key mechanistic role in the spectroscopy of polyatomic molecules, photochemistry and chemical kinetics. This invaluable book presents a systematic exposition of the current state of knowledge about conical intersections, which has been elaborated in research papers scattered throughout the chemical physics literature. Section I of the book provides a comprehensive analysis of the electronic-structure aspects of conical intersections. Section II shows the importance of conical intersections in chemical reaction dynamics and gives an overview of the computational techniques employed to describe the dynamics at conical intersections. Finally, Section III deals with the role of conical intersections in the fields of molecular spectroscopy and laser control of chemical reaction dynamics. This book has been selected for coverage in: • CC / Physical, Chemical & Earth Sciences • Chemistry Citation Index(tm) • Index to Scientific Book Contents® (ISBC) Contents: Fundamental Concepts and Electronic Structure TheoryConical Intersections in Photoinduced and Collisional DynamicsDetection and Control of Chemical Dynamics at Conical Intersections Readership: Researchers in theoretical chemistry, molecular spectroscopy and photochemistry. Keywords:Conical Intersections;Photochemistry;Chemical Reaction Dynamics;Photo-dissociation;Diabetic
Book Synopsis Conical Intersections by : Wolfgang Domcke
Download or read book Conical Intersections written by Wolfgang Domcke and published by World Scientific. This book was released on 2004 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is widely recognized nowadays that conical intersections ofmolecular potential-energy surfaces play a key mechanistic role in thespectroscopy of polyatomic molecules, photochemistry and chemicalkinetics. This invaluable book presents a systematic exposition of thecurrent state of knowledge about conical intersections, which has beenelaborated in research papers scattered throughout the chemicalphysics literature.
Book Synopsis Conical Intersections by : Wolfgang Domcke
Download or read book Conical Intersections written by Wolfgang Domcke and published by World Scientific. This book was released on 2011 with total page 769 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of adiabatic electronic potential-energy surfaces, defined by the Born?Oppenheimer approximation, is fundamental to our thinking about chemical processes. Recent computational as well as experimental studies have produced ample evidence that the so-called conical intersections of electronic energy surfaces, predicted by von Neumann and Wigner in 1929, are the rule rather than the exception in polyatomic molecules. It is nowadays increasingly recognized that conical intersections play a key mechanistic role in chemical reaction dynamics. This volume provides an up-to-date overview of the multi-faceted research on the role of conical intersections in photochemistry and photobiology, including basic theoretical concepts, novel computational strategies as well as innovative experiments. The contents and discussions will be of value to advanced students and researchers in photochemistry, molecular spectroscopy and related areas.
Book Synopsis Beyond Born-Oppenheimer by : Michael Baer
Download or read book Beyond Born-Oppenheimer written by Michael Baer and published by John Wiley & Sons. This book was released on 2006-03-31 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: INTRODUCING A POWERFUL APPROACH TO DEVELOPING RELIABLE QUANTUM MECHANICAL TREATMENTS OF A LARGE VARIETY OF PROCESSES IN MOLECULAR SYSTEMS. The Born-Oppenheimer approximation has been fundamental to calculation in molecular spectroscopy and molecular dynamics since the early days of quantum mechanics. This is despite well-established fact that it is often not valid due to conical intersections that give rise to strong nonadiabatic effects caused by singular nonadiabatic coupling terms (NACTs). In Beyond Born-Oppenheimer, Michael Baer, a leading authority on molecular scattering theory and electronic nonadiabatic processes, addresses this deficiency and introduces a rigorous approach--diabatization--for eliminating troublesome NACTs and deriving well-converged equations to treat the interactions within and between molecules. Concentrating on both the practical and theoretical aspects of electronic nonadiabatic transitions in molecules, Professor Baer uses a simple mathematical language to rigorously eliminate the singular NACTs and enable reliable calculations of spectroscopic and dynamical cross sections. He presents models of varying complexity to illustrate the validity of the theory and explores the significance of the study of NACTs and the relationship between molecular physics and other fields in physics, particularly electrodynamics. The first book of its king Beyond Born-Oppenheimer: * Presents a detailed mathematical framework to treat electronic NACTs and their conical intersections * Describes the Born-Oppenheimer treatment, including the concepts of adiabatic and diabatic frameworks * Introduces a field-theoretical approach to calculating NACTs, which offers an alternative to time-consuming ab initio procedures * Discusses various approximations for treating a large system of diabatic Schrödinger equations * Presents numerous exercises with solutions to further clarify the material being discussed Beyond Born-Oppenheimer is required reading for physicists, physical chemists, and all researchers involved in the quantum mechanical study of molecular systems.
Book Synopsis Conical Intersections by : Wolfgang Domcke
Download or read book Conical Intersections written by Wolfgang Domcke and published by World Scientific. This book was released on 2011 with total page 769 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pt. I. Fundamental aspects and electronic structure. 1. Conical intersections in organic photochemistry / M.A. Robb. 2. Efficient excited-state deactivation in organic chromophores and biologically relevant molecules: role of electron and proton transfer processes / A.L. Sobolewski and W. Domcke. 3. Three-state conical intersections / S. Matsika. 4. Spin-orbit vibronic coupling in Jahn-Teller systems / L.V. Poluyanov and W. Domcke. 5. Symmetry analysis of geometric-phase effects in quantum dynamics / S.C. Althorpe -- pt. II. Dynamics at conical intersections. 6. Conical intersections in electron photodetachment spectroscopy: theory and applications / M.S. Schuurman and D.R. Yarkony. 7. Multistate vibronic dynamics and multiple conical intersections / S. Faraji, S. Gomez-Carrasco and H. Koppel. 8. Conical intersections coupled to an environment / I. Burghardt [und weitere]. 9. Ab initio multiple spawning: first principles dynamics around conical intersections / S. Yang and T.J. Martinez. 10. Non-Born-Oppenheimer molecular dynamics for conical intersections, avoided crossings, and weak interactions / A.W. Jasper and D.G. Truhlar. 11. Computational and methodological elements for nonadiabatic trajectory dynamics simulations of molecules / M. Barbatti, R. Shepard and H. Lischka. 12. Nonadiabatic trajectory calculations with ab initio and semiempirical methods / E. Fabiano [und weitere]. 13. Multistate nonadiabatic dynamics "on the fly" in complex systems and its control by laser fields / R. Mitric, J. Petersen and V. Bonacic-Koutecky. 14. Laser control of ultrafast dynamics at conical intersections / Y. Ohtsuki and W. Domcke -- pt. III. Experimental detection of dynamics at conical intersections. 15. Exploring nuclear motion through conical intersections in the UV photodissociation of azoles, phenols and related systems / T.A.A. Oliver [und weitere]. 16. Interrogation of nonadiabatic molecular dynamics via time-resolved photoelectron spectroscopy / M.S. Schuurman and A. Stolow. 17. Pump-probe spectroscopy of ultrafast vibronic dynamics in organic chromophores / N.K. Schwalb [und weitere]. 18. Femtosecond pump-probe polarization spectroscopy of vibronic dynamics at conical intersections and funnels / W.K. Peters, E.R. Smith and D.M. Jonas
Book Synopsis Recent Advances in Density Functional Methods by : Delano P Chong
Download or read book Recent Advances in Density Functional Methods written by Delano P Chong and published by World Scientific. This book was released on 1997-05-14 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Of all the different areas in computational chemistry, density functional theory (DFT) enjoys the most rapid development. Even at the level of the local density approximation (LDA), which is computationally less demanding, DFT can usually provide better answers than Hartree-Fock formalism for large systems such as clusters and solids. For atoms and molecules, the results from DFT often rival those obtained by ab initio quantum chemistry, partly because larger basis sets can be used. Such encouraging results have in turn stimulated workers to further investigate the formal theory as well as the computational methodology of DFT. This Part II expands on the methodology and applications of DFT. Some of the chapters report on the latest developments (since the publication of Part I in 1995), while others extend the applications to wider range of molecules and their environments. Together, this and other recent review volumes on DFT show that DFT provides an efficient and accurate alternative to traditional quantum chemical methods. Such demonstration should hopefully stimulate frutiful developments in formal theory, better exchange-correlation functionals, and linear scaling methodology. Contents:On the Calculation of Energies and Optimised Geometries from Exchange-Correlation Potentials (D J Tozer & N C Handy)A Grid-Free Implementation of Density Functional Theory (J E Almlöf & Y C Zheng)Continuum Dielectric Models for the Solvent and Density Functional Theory: The State-of-the-Art (G D Luca et al.)On the Calculation of Multiplets (C A Daul et al.)Structural and Dynamical Features of Hydrogen Bonds from Conventional and Hybrid Density Functional Methods (C Adamo & V Barone)Chemistry by Density Functional Theory (C W Bauschlicher, Jr. et al.)The Self-Interaction Corrected Local Density Approximation Method (M A Whitehead)Index Readership: Researchers and graduate students in computational chemistry and computational physics. keywords:
Book Synopsis Geometric Phases in Physics by : F Wilczek
Download or read book Geometric Phases in Physics written by F Wilczek and published by World Scientific. This book was released on 1989-07-01 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last few years, considerable interest has been focused on the phase that waves accumulate when the equations governing the waves vary slowly. The recent flurry of activity was set off by a paper by Michael Berry, where it was found that the adiabatic evolution of energy eigenfunctions in quantum mechanics contains a phase of geometric origin (now known as ‘Berry's phase’) in addition to the usual dynamical phase derived from Schrödinger's equation. This observation, though basically elementary, seems to be quite profound. Phases with similar mathematical origins have been identified and found to be important in a startling variety of physical contexts, ranging from nuclear magnetic resonance and low-Reynolds number hydrodynamics to quantum field theory. This volume is a collection of original papers and reprints, with commentary, on the subject. Contents:Introduction and OverviewAnticipationsFoundationsSome Applications and TestsFractional StatisticsQuantized Hall EffectWess-Zumino Terms and AnomaliesClassical SystemsAsymptotics Readership: Mathematical, high energy and condensed matter physicists.
Book Synopsis The Jahn-Teller Effect by : Horst Köppel
Download or read book The Jahn-Teller Effect written by Horst Köppel and published by Springer Science & Business Media. This book was released on 2009-12-08 with total page 915 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Jahn-Teller effect continues to be a paradigm for structural instabilities and molecular dynamical processes. This volume provides a survey of the current Jahn-Teller interactions at the interface of quantum chemistry and condensed matter physics.
Book Synopsis Quantum Chemistry and Dynamics of Excited States by : Leticia González
Download or read book Quantum Chemistry and Dynamics of Excited States written by Leticia González and published by John Wiley & Sons. This book was released on 2021-02-01 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the rapidly evolving methodology of electronic excited states For academic researchers, postdocs, graduate and undergraduate students, Quantum Chemistry and Dynamics of Excited States: Methods and Applications reports the most updated and accurate theoretical techniques to treat electronic excited states. From methods to deal with stationary calculations through time-dependent simulations of molecular systems, this book serves as a guide for beginners in the field and knowledge seekers alike. Taking into account the most recent theory developments and representative applications, it also covers the often-overlooked gap between theoretical and computational chemistry. An excellent reference for both researchers and students, Excited States provides essential knowledge on quantum chemistry, an in-depth overview of the latest developments, and theoretical techniques around the properties and nonadiabatic dynamics of chemical systems. Readers will learn: ● Essential theoretical techniques to describe the properties and dynamics of chemical systems ● Electronic Structure methods for stationary calculations ● Methods for electronic excited states from both a quantum chemical and time-dependent point of view ● A breakdown of the most recent developments in the past 30 years For those searching for a better understanding of excited states as they relate to chemistry, biochemistry, industrial chemistry, and beyond, Quantum Chemistry and Dynamics of Excited States provides a solid education in the necessary foundations and important theories of excited states in photochemistry and ultrafast phenomena.
Book Synopsis Quantum Dissipative Systems by : Ulrich Weiss
Download or read book Quantum Dissipative Systems written by Ulrich Weiss and published by World Scientific. This book was released on 2012 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting from first principles, this book introduces the fundamental concepts and methods of dissipative quantum mechanics and explores related phenomena in condensed matter systems. Major experimental achievements in cooperation with theoretical advances have brightened the field and brought it to the attention of the general community in natural sciences. Nowadays, working knowledge of dissipative quantum mechanics is an essential tool for many physicists. This book -- originally published in 1990 and republished in 1999 and and 2008 as enlarged second and third editions -- delves significantly deeper than ever before into the fundamental concepts, methods and applications of quantum dissipative systems.This fourth edition provides a self-contained and updated account of the quantum mechanics of open systems and offers important new material including the most recent developments. The subject matter has been expanded by about fifteen percent. Many chapters have been completely rewritten to better cater to both the needs of newcomers to the field and the requests of the advanced readership. Two chapters have been added that account for recent progress in the field. This book should be accessible to all graduate students in physics. Researchers will find this a rich and stimulating source.
Book Synopsis Principles and Applications of Quantum Chemistry by : V.P. Gupta
Download or read book Principles and Applications of Quantum Chemistry written by V.P. Gupta and published by Academic Press. This book was released on 2015-10-15 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principles and Applications of Quantum Chemistry offers clear and simple coverage based on the author’s extensive teaching at advanced universities around the globe. Where needed, derivations are detailed in an easy-to-follow manner so that you will understand the physical and mathematical aspects of quantum chemistry and molecular electronic structure. Building on this foundation, this book then explores applications, using illustrative examples to demonstrate the use of quantum chemical tools in research problems. Each chapter also uses innovative problems and bibliographic references to guide you, and throughout the book chapters cover important advances in the field including: Density functional theory (DFT) and time-dependent DFT (TD-DFT), characterization of chemical reactions, prediction of molecular geometry, molecular electrostatic potential, and quantum theory of atoms in molecules. Simplified mathematical content and derivations for reader understanding Useful overview of advances in the field such as Density Functional Theory (DFT) and Time-Dependent DFT (TD-DFT) Accessible level for students and researchers interested in the use of quantum chemistry tools
Book Synopsis Non-Hermitian Quantum Mechanics by : Nimrod Moiseyev
Download or read book Non-Hermitian Quantum Mechanics written by Nimrod Moiseyev and published by Cambridge University Press. This book was released on 2011-02-17 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-Hermitian quantum mechanics (NHQM) is an important alternative to the standard (Hermitian) formalism of quantum mechanics, enabling the solution of otherwise difficult problems. The first book to present this theory, it is useful to advanced graduate students and researchers in physics, chemistry and engineering. NHQM provides powerful numerical and analytical tools for the study of resonance phenomena - perhaps one of the most striking events in nature. It is especially useful for problems whose solutions cause extreme difficulties within the structure of a conventional Hermitian framework. NHQM has applications in a variety of fields, including optics, where the refractive index is complex; quantum field theory, where the parity-time (PT) symmetry properties of the Hamiltonian are investigated; and atomic and molecular physics and electrical engineering, where complex potentials are introduced to simplify numerical calculations.
Book Synopsis Multiconfigurational Quantum Chemistry by : Björn O. Roos
Download or read book Multiconfigurational Quantum Chemistry written by Björn O. Roos and published by John Wiley & Sons. This book was released on 2016-08-03 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book to aid in the understanding of multiconfigurational quantum chemistry, Multiconfigurational Quantum Chemistry demystifies a subject that has historically been considered difficult to learn. Accessible to any reader with a background in quantum mechanics and quantum chemistry, the book contains illustrative examples showing how these methods can be used in various areas of chemistry, such as chemical reactions in ground and excited states, transition metal and other heavy element systems. The authors detail the drawbacks and limitations of DFT and coupled-cluster based methods and offer alternative, wavefunction-based methods more suitable for smaller molecules.
Book Synopsis Edward Teller Centennial Symposium by : Stephen B. Libby
Download or read book Edward Teller Centennial Symposium written by Stephen B. Libby and published by World Scientific. This book was released on 2010 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume, for the symposium in honor of Edward Teller's 100th anniversary, focuses on Teller's scientific legacy. This legacy includes some of the most fundamental insights into the quantum behaviors of molecules, nuclei, surfaces, solid state and spin systems and plasmas. Many of these are brand names from the canon of 20th-century physics and chemistry, such as Gamow-Teller transitions, the Jahn-Teller effect, Goldhaber-Teller resonances, the Lyddane-Sachs-Teller relation, the Brunauer-Emmett-Teller equation of state, and the MR2T2 algorithm. All of these have had a profound and continuing impact on science - as has Teller's work on level crossing, diamagnetism, and plasma and statistical physics. The legacies of these discoveries are discussed in this volume, as is Teller's role in applied science and education.
Book Synopsis Molecular Electronic-Structure Theory by : Trygve Helgaker
Download or read book Molecular Electronic-Structure Theory written by Trygve Helgaker and published by John Wiley & Sons. This book was released on 2014-08-11 with total page 949 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ab initio quantum chemistry has emerged as an important tool in chemical research and is appliced to a wide variety of problems in chemistry and molecular physics. Recent developments of computational methods have enabled previously intractable chemical problems to be solved using rigorous quantum-mechanical methods. This is the first comprehensive, up-to-date and technical work to cover all the important aspects of modern molecular electronic-structure theory. Topics covered in the book include: * Second quantization with spin adaptation * Gaussian basis sets and molecular-integral evaluation * Hartree-Fock theory * Configuration-interaction and multi-configurational self-consistent theory * Coupled-cluster theory for ground and excited states * Perturbation theory for single- and multi-configurational states * Linear-scaling techniques and the fast multipole method * Explicity correlated wave functions * Basis-set convergence and extrapolation * Calibration and benchmarking of computational methods, with applications to moelcular equilibrium structure, atomization energies and reaction enthalpies. Molecular Electronic-Structure Theory makes extensive use of numerical examples, designed to illustrate the strengths and weaknesses of each method treated. In addition, statements about the usefulness and deficiencies of the various methods are supported by actual examples, not just model calculations. Problems and exercises are provided at the end of each chapter, complete with hints and solutions. This book is a must for researchers in the field of quantum chemistry as well as for nonspecialists who wish to acquire a thorough understanding of ab initio molecular electronic-structure theory and its applications to problems in chemistry and physics. It is also highly recommended for the teaching of graduates and advanced undergraduates.
Book Synopsis Modern Methods for Multidimensional Dynamics Computations in Chemistry by : Donald Leo Thompson
Download or read book Modern Methods for Multidimensional Dynamics Computations in Chemistry written by Donald Leo Thompson and published by World Scientific. This book was released on 1998 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume describes many of the key practical theoretical techniques that have been developed to treat chemical dynamics problems in many-atom systems. It contains thorough treatments of fundamental theory and prescriptions for performing computations. The selection of methods, ranging from gas phase bimolecular reactions to complex processes in condensed phases, reflects the breadth of the field.The book is an excellent reference for proven and accepted methods as well as for theoretical approaches that are still being developed. It is appropriate for graduate students and other ?novices? who wish to begin working in chemical dynamics as well as active researchers who wish to acquire a wider knowledge of the field.
