Classical, Semiclassical and Quantum Dynamics in Atoms

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Publisher :
ISBN 13 : 9783662141519
Total Pages : 356 pages
Book Rating : 4.1/5 (415 download)

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Book Synopsis Classical, Semiclassical and Quantum Dynamics in Atoms by : Harald Friedrich

Download or read book Classical, Semiclassical and Quantum Dynamics in Atoms written by Harald Friedrich and published by . This book was released on 2014-01-15 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Classical, Semiclassical and Quantum Dynamics in Atoms

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Author :
Publisher : Springer
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Classical, Semiclassical and Quantum Dynamics in Atoms by : Harald Friedrich

Download or read book Classical, Semiclassical and Quantum Dynamics in Atoms written by Harald Friedrich and published by Springer. This book was released on 1997-06-19 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Content Description #Includes bibliographical references and index.

The Semiclassical Way to Dynamics and Spectroscopy

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Publisher : Princeton University Press
ISBN 13 : 0691163731
Total Pages : 472 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Semiclassical Way to Dynamics and Spectroscopy by : Eric J. Heller

Download or read book The Semiclassical Way to Dynamics and Spectroscopy written by Eric J. Heller and published by Princeton University Press. This book was released on 2018-06-05 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graduate-level text that examines the semiclassical approach to quantum mechanics Physical systems have been traditionally described in terms of either classical or quantum mechanics. But in recent years, semiclassical methods have developed rapidly, providing deep physical insight and computational tools for quantum dynamics and spectroscopy. In this book, Eric Heller introduces and develops this subject, demonstrating its power with many examples. In the first half of the book, Heller covers relevant aspects of classical mechanics, building from them the semiclassical way through the semiclassical limit of the Feynman path integral. The second half of the book applies this approach to various kinds of spectroscopy, such as molecular spectroscopy and electron imaging and quantum dynamical systems with an emphasis on tunneling. Adopting a distinctly time-dependent viewpoint, Heller argues for semiclassical theories from experimental and theoretical vantage points valuable to research in physics and chemistry. Featuring more than two hundred figures, the book provides a geometric, phase-space, and coordinate-space pathway to greater understanding. Filled with practical examples and applications, The Semiclassical Way to Dynamics and Spectroscopy is a comprehensive presentation of the tools necessary to successfully delve into this unique area of quantum mechanics. A comprehensive approach for using classical mechanics to do quantum mechanics More than two hundred figures to assist intuition Emphasis on semiclassical Green function and wave packet perspective, as well as tunneling and spectroscopy Chapters include quantum mechanics of classically chaotic systems, quantum scarring, and other modern dynamical topics

Classical And Quantum Dynamics In Condensed Phase Simulations: Proceedings Of The International School Of Physics

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Publisher : World Scientific
ISBN 13 : 9814496057
Total Pages : 881 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Classical And Quantum Dynamics In Condensed Phase Simulations: Proceedings Of The International School Of Physics by : Bruce J Berne

Download or read book Classical And Quantum Dynamics In Condensed Phase Simulations: Proceedings Of The International School Of Physics written by Bruce J Berne and published by World Scientific. This book was released on 1998-06-17 with total page 881 pages. Available in PDF, EPUB and Kindle. Book excerpt: The school held at Villa Marigola, Lerici, Italy, in July 1997 was very much an educational experiment aimed not just at teaching a new generation of students the latest developments in computer simulation methods and theory, but also at bringing together researchers from the condensed matter computer simulation community, the biophysical chemistry community and the quantum dynamics community to confront the shared problem: the development of methods to treat the dynamics of quantum condensed phase systems.This volume collects the lectures delivered there. Due to the focus of the school, the contributions divide along natural lines into two broad groups: (1) the most sophisticated forms of the art of computer simulation, including biased phase space sampling schemes, methods which address the multiplicity of time scales in condensed phase problems, and static equilibrium methods for treating quantum systems; (2) the contributions on quantum dynamics, including methods for mixing quantum and classical dynamics in condensed phase simulations and methods capable of treating all degrees of freedom quantum-mechanically.

Semiclassical Dynamics and Relaxation

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Publisher : Springer Science & Business Media
ISBN 13 : 0387743138
Total Pages : 348 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Semiclassical Dynamics and Relaxation by : D.S.F. Crothers

Download or read book Semiclassical Dynamics and Relaxation written by D.S.F. Crothers and published by Springer Science & Business Media. This book was released on 2007-12-20 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Condensed-matter physics plays an ever increasing role in photonics, electronic and atomic collisions research. Dispersion (Dynamics and Relaxation) includes scattering/collisions in the gaseous phase. It also includes thermal agitation, tunneling and relaxation in the liquid and solid phases. Classical mechanics, classical statistical mechanics, classical relativity and quantum mechanics are all implicated. 'Semiclassical' essentially means that there is a large or asymptotic real parameter. 'Semiclassical' can also mean 'classical with first-order quantal correction', based on an exponentiated Liouville series commencing with a simple pole in the -plane, being Planck's reduced constant and coming with all the attendant connection problems associated with the singularity at the turning or transition point and with the Stokes phenomenon. Equally,' semiclassical' can mean 'electrons described quantally and the heavy particles classically'. This latter gives rise to the so-called impact parameter method based on a pre-assigned classical trajectory. With evermore sophisticated experiments, it has become equally more important to test theory over a wider range of parameters. For instance, at low impact energies in heavy-particle collisions, the inverse velocity is a large parameter; in single-domain ferromagnetism, thermal agitation (including Brownian motion and continuous-time random walks) is faced with a barrier of height 'sigma', a possibly large parameter. Methods of solution include phase-integral analysis, integral transforms and change-of-dependent variable. We shall consider the Schrödinger time-independent and time-dependent equations, the Dirac equation, the Fokker Planck equation, the Langevin equation and the equations of Einstein's classical general relativity equations. There is an increasing tendency among physicists to decry applied mathematics and theoretical physics in favour of computational blackboxes. One may say applied mathematics concerns hard sums and products (and their inverses) but unless one can simplify and sum infinite series of products of infinite series, can one believe the results of a computer program? The era of the polymath has passed; this book proposal aims to show the relevance to, and impact of theory on, laboratory scientists.

Theoretical Atomic Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 3662037041
Total Pages : 426 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Theoretical Atomic Physics by : Harald Siegfried Friedrich

Download or read book Theoretical Atomic Physics written by Harald Siegfried Friedrich and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition presents the recent developments in atomic physics. Beginning with a review of quantum mechanics, the book covers important areas of theoretical atomic physics, including semiclassical theory, periodic orbit theory, scaling properties for atoms in external fields, threshold behavior of ionization cross sections, and classical quantum dynamics of two-electron atoms.

Crossover-Time in Quantum Boson and Spin Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3540484159
Total Pages : 279 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Crossover-Time in Quantum Boson and Spin Systems by : Gennady P. Berman

Download or read book Crossover-Time in Quantum Boson and Spin Systems written by Gennady P. Berman and published by Springer Science & Business Media. This book was released on 2008-10-04 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors compare classical and quantum dynamics in the quasiclassical region of parameters and under the condition of unstable (chaotic) classical behavior. They estimate the characteristic time-scale at which classical and quantum solutions start to differ significantly. The method is based on exact equations for time-dependent expectation values in boson and spin coherent states, and applies to rather general Hamiltonians with many degrees of freedom. The authors develop a consistent dynamical theory for quantum nonintegrable Hamiltonians and provide explicit examples of classical-quantum "crossover-time", a very common and fundamental phenomenon in quantum nonintegrable systems. This book can be recommended to graduate students and to specialists.

Molecular Beams in Physics and Chemistry

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Publisher : Springer Nature
ISBN 13 : 3030639630
Total Pages : 639 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Molecular Beams in Physics and Chemistry by : Bretislav Friedrich

Download or read book Molecular Beams in Physics and Chemistry written by Bretislav Friedrich and published by Springer Nature. This book was released on 2021-06-19 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Open Access book gives a comprehensive account of both the history and current achievements of molecular beam research. In 1919, Otto Stern launched the revolutionary molecular beam technique. This technique made it possible to send atoms and molecules with well-defined momentum through vacuum and to measure with high accuracy the deflections they underwent when acted upon by transversal forces. These measurements revealed unforeseen quantum properties of nuclei, atoms, and molecules that became the basis for our current understanding of quantum matter. This volume shows that many key areas of modern physics and chemistry owe their beginnings to the seminal molecular beam work of Otto Stern and his school. Written by internationally recognized experts, the contributions in this volume will help experienced researchers and incoming graduate students alike to keep abreast of current developments in molecular beam research as well as to appreciate the history and evolution of this powerful method and the knowledge it reveals.

Quantum Dynamics with Trajectories

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Publisher : Springer Science & Business Media
ISBN 13 : 0387281452
Total Pages : 425 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Quantum Dynamics with Trajectories by : Robert E. Wyatt

Download or read book Quantum Dynamics with Trajectories written by Robert E. Wyatt and published by Springer Science & Business Media. This book was released on 2006-05-28 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a rapidly developing field to which the author is a leading contributor New methods in quantum dynamics and computational techniques, with applications to interesting physical problems, are brought together in this book Useful to both students and researchers

Evolution of Rydberg States in Half-cycle Pulses

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Publisher :
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4.:/5 (683 download)

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Book Synopsis Evolution of Rydberg States in Half-cycle Pulses by :

Download or read book Evolution of Rydberg States in Half-cycle Pulses written by and published by . This book was released on 1994 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: We summarize recent theoretical advances in the description of the evolution of Rydberg atoms subject to ultrashort pulses extending only a fraction of an optical cycle. We have performed classical. semiclassical and full quantum calculations in order to delineate the classical-quantum correspondence for impulsively perturbed atomic systems. We observe classical and quantum (or semiclassical) oscillations in excitation and ionization which depend on the initial state of atoms and on the strength of the perturbation. These predictions can be experimentally tested. 4 figs.

Atoms and Molecules in Strong External Fields

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Publisher : Springer Science & Business Media
ISBN 13 : 030645811X
Total Pages : 330 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Atoms and Molecules in Strong External Fields by : P. Schmelcher

Download or read book Atoms and Molecules in Strong External Fields written by P. Schmelcher and published by Springer Science & Business Media. This book was released on 1998-02-28 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the April 1997 seminar. The designation strong fields applies to external static magnetic and/or electric fields that are sufficiently intense to cause alterations in atomic or molecular structure and dynamics. Thirty-eight contributions discuss the behavior and properties of atoms in strong static fields, the fundamental aspects and electronic structure of molecules in strong magnetic fields, the dynamics and aspects of chaos in highly excited Rydberg atoms in external fields, matter in the atmosphere of astrophysical objects (white dwarfs, neutron stars), and quantum nanostructures in strong magnetic fields. Contributors hail from such disparate fields as atomic and molecular physics, theoretical chemistry, and astrophysics. Annotation copyrighted by Book News, Inc., Portland, OR

Theoretical Atomic Physics

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Publisher : Springer
ISBN 13 : 3319477692
Total Pages : 656 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Theoretical Atomic Physics by : Harald Friedrich

Download or read book Theoretical Atomic Physics written by Harald Friedrich and published by Springer. This book was released on 2017-05-10 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expanded and updated well-established textbook contains an advanced presentationof quantum mechanics adapted to the requirements of modern atomic physics. Itincludes topics of current interest such as semiclassical theory, chaos, atom optics andBose-Einstein condensation in atomic gases. In order to facilitate the consolidationof the material covered, various problems are included, together with completesolutions. The emphasis on theory enables the reader to appreciate the fundamentalassumptions underlying standard theoretical constructs and to embark on independentresearch projects. The fourth edition of Theoretical Atomic Physics contains anupdated treatment of the sections involving scattering theory and near-thresholdphenomena manifest in the behaviour of cold atoms (and molecules). Special attentionis given to the quantization of weakly bound states just below the continuum thresholdand to low-energy scattering and quantum reflection just above. Particular emphasisis laid on the fundamental differences between long-ranged Coulombic potentialsand shorter-ranged potentials falling off faster than 1/r2 at large distances r. The newsections on tunable near-threshold Feshbach resonances and on scattering in two spatialdimensions also address problems relevant for current and future research in the fieldof cold (and ultra-cold) atoms. Graduate students and researchers will find this book avaluable resource and comprehensive reference alike.

Molecular Spectroscopy and Quantum Dynamics

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Publisher : Elsevier
ISBN 13 : 0128172355
Total Pages : 376 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Molecular Spectroscopy and Quantum Dynamics by : Roberto Marquardt

Download or read book Molecular Spectroscopy and Quantum Dynamics written by Roberto Marquardt and published by Elsevier. This book was released on 2020-09-18 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Molecular Spectroscopy and Quantum Dynamics, an exciting new work edited by Professors Martin Quack and Roberto Marquardt, contains comprehensive information on the current state-of-the-art experimental and theoretical methods and techniques used to unravel ultra-fast phenomena in atoms, molecules and condensed matter, along with future perspectives on the field. Contains new insights into the quantum dynamics and spectroscopy of electronic and nuclear motion Presents the most recent developments in the detection and interpretation of ultra-fast phenomena Includes a discussion of the importance of these phenomena for the understanding of chemical reaction dynamics and kinetics in relation to molecular spectra and structure

Quantum Dynamics of Complex Molecular Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3540344608
Total Pages : 424 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Quantum Dynamics of Complex Molecular Systems by : David A. Micha

Download or read book Quantum Dynamics of Complex Molecular Systems written by David A. Micha and published by Springer Science & Business Media. This book was released on 2006-11-22 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum phenomena are ubiquitous in complex molecular systems - as revealed by many experimental observations based upon ultrafast spectroscopic techniques - and yet remain a challenge for theoretical analysis. The present volume, based on a May 2005 workshop, examines and reviews the state-of-the-art in the development of new theoretical and computational methods to interpret the observed phenomena. Emphasis is on complex molecular processes involving surfaces, clusters, solute-solvent systems, materials, and biological systems. The research summarized in this book shows that much can be done to explain phenomena in systems excited by light or through atomic interactions. It demonstrates how to tackle the multidimensional dynamics arising from the atomic structure of a complex system, and addresses phenomena in condensed phases as well as phenomena at surfaces. The chapters on new methodological developments cover both phenomena in isolated systems, and phenomena which involve the statistical effects of an environment, such as fluctuations and dissipation. The methodology part explores new rigorous ways to formulate mixed quantum-classical dynamics in many dimensions, along with new ways to solve a many-atom Schroedinger equation, or the Liouville-von Neumann equation for the density operator, using trajectories and ideas related to hydrodynamics. Part I treats applications to complex molecular systems, and Part II covers new theoretical and computational methods

The Transition to Chaos

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387987880
Total Pages : 704 pages
Book Rating : 4.9/5 (878 download)

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Book Synopsis The Transition to Chaos by : Linda Reichl

Download or read book The Transition to Chaos written by Linda Reichl and published by Springer Science & Business Media. This book was released on 2004-05-13 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on courses given at the universities of Texas in Austin, and California in San Diego, this book treats an active fields of research that touches upon the foundations of physics and chemistry. It presents, in as simple a manner as possible, the basic mechanisms that determine the dynamical evolution of both classical and quantum systems in sufficient generality to include quantum phenomena. The book begins with a discussion of Noether's theorem, integrability, KAM theory, and a definition of chaotic behavior; it continues with a detailed discussion of area-preserving maps, integrable quantum systems, spectral properties, path integrals, and periodically driven systems; and it concludes by showing how to apply the ideas to stochastic systems. The presentation is complete and self-contained; appendices provide much of the needed mathematical background, and there are extensive references to the current literature. Problems at the ends of chapters help students clarify their understanding. In this new edition, the presentation will be brought up to date throughout, and a new chapter on open quantum systems will be added.

Real-Time Quantum Dynamics of Electron–Phonon Systems

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Publisher : Springer
ISBN 13 : 3319962809
Total Pages : 184 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Real-Time Quantum Dynamics of Electron–Phonon Systems by : Valerio Rizzi

Download or read book Real-Time Quantum Dynamics of Electron–Phonon Systems written by Valerio Rizzi and published by Springer. This book was released on 2018-08-01 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a methodology for the real-time coupled quantum dynamics of electrons and phonons in nanostructures, both isolated structures and those open to an environment. It then applies this technique to both fundamental and practical problems that are relevant, in particular, to nanodevice physics, laser–matter interaction, and radiation damage in living tissue. The interaction between electrons and atomic vibrations (phonons) is an example of how a process at the heart of quantum dynamics can impact our everyday lives. This is e.g. how electrical current generates heat, making your toaster work. It is also a key process behind many crucial problems down to the atomic and molecular scale, such as the functionality of nanoscale electronic devices, the relaxation of photo-excited systems, the energetics of systems under irradiation, and thermoelectric effects. Electron–phonon interactions represent a difficult many-body problem. Fairly standard techniques are available for tackling cases in which one of the two subsystems can be treated as a steady-state bath for the other, but determining the simultaneous coupled dynamics of the two poses a real challenge. This book tackles precisely this problem.

Quantum Chemistry and Dynamics of Excited States

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Publisher : John Wiley & Sons
ISBN 13 : 1119417759
Total Pages : 52 pages
Book Rating : 4.1/5 (194 download)

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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.