Beyond Born-Oppenheimer (eBook)

Electronic Nonadiabatic Coupling Terms and Conical Intersections

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eBook Download: PDF
2006 | 1. Auflage
256 Seiten
John Wiley & Sons (Verlag)
978-0-471-78007-6 (ISBN)

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Beyond Born-Oppenheimer - Michael Baer
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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.

Michael Baer is one of the foremost authorities on molecular scattering theory. He wrote the seminal paper in the field of electronic nonadiabatic molecular collisions in 1975 and has continued to make fundamental contributions to electronic nonadiabatic processes in molecular systems. He also contributed significantly to developing numerical methods to treat, quantum mechanically, reactive-exchange processes and is a co-author of the negative imaginary potential approach to decoupling the dynamics in different arrangement channels, which is now used worldwide. Dr. Baer, who received his M.Sc. and Ph.D from the Hebrew University of Jerusalem, is currently associated with the Fritz Haber Center for Molecular Dynamics at the Hebrew University in Jerusalem. Before that he was a theoretical physicist and an applied mathematician for almost 40 years at the Soreq Nuclear Research Center, Israel. The author was a visiting scientist in many foreign universities and scientific institutes, among them Harvard University and the University of Oxford. He has published more than 300 scientific articles and edited several books. In 1993 he was awarded the (Senior) Meitner-Humboldt Prize in Germany for Theoretical Chemistry and in 2003 he was nominated as a Szent-Györgyi professor for physics by the National Academy of Sciences in Hungary.

"...a good introductory guide to the world of nonadiabatic chemistry and can therefore be recommended to the scientists and students..." (Zentralblatt MATH, 2007)

Erscheint lt. Verlag 31.3.2006
Sprache englisch
Themenwelt Naturwissenschaften Chemie Physikalische Chemie
Naturwissenschaften Physik / Astronomie Atom- / Kern- / Molekularphysik
Technik
Schlagworte Chemie • Chemistry • Mathematical & Computational Physics • Mathematics • Mathematics Special Topics • Mathematik • Mathematische Physik • Physical Chemistry • Physics • Physik • Physikalische Chemie • Spezialthemen Mathematik
ISBN-10 0-471-78007-3 / 0471780073
ISBN-13 978-0-471-78007-6 / 9780471780076
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