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Dimensional scaling offers a new approach to quantum dynamical
correlations. This is the first book dealing with dimensional
scaling methods in the quantum theory of atoms and molecules.
Appropriately, it is a multiauthor production, derived chiefly from
papers presented at a workshop held in June 1991 at the A~rsted
Institute in Copenhagen. Although focused on dimensional scaling,
the volume includes contributions on other unorthodox methods for
treating nonseparable dynamical problems and electronic
correlation. In shaping the book, the editors serve three needs: an
introductory tutorial for this still fledgling field; a guide to
the literature; and an inventory of current research results and
prospects. Part I treats basic aspects of dimensional scaling.
Addressed to readers entirely unfamiliar with the subject, it
provides both a qualitative overview, and a tour of elementary
quantum mechanics. Part II surveys the research frontier. The eight
chapters exemplify current techniques and outline results. Part III
presents other methods, including nonseparable dynamics, and
electron correlation in pseudomolecular excited states of atoms.
Although procrustean conformity was not imposed, unifying and
complementary themes are emphasized throughout the book.
This volume contains all of the invited lectures presented at the
NATO ARWon "New Methods in Quantum Theory" held in Halkidiki,
Greece from May 14th to May 19th, 1995. This survey of new
perspectives, techniques and results in quantum theory contains 26
chapters by leading quantum chemists and physicists from 14
countries. The book covers a wide range of topics, though the
emphasis throughout is on new approaches and their
interrelationships. Topics covered include dimensional scaling, the
hyperspherical method applied both to reactive scattering theory
and to bound state problems, chaotic behaviour, large-order
perturbation theory, complex eigenvalues and quasistationary
states, semiclassical methods, cusps in hyperaccurate wave
functions, density functional theory, relativistic quantum theory,
and quantum Monte Carlo methods. I hope very much that the various
lectures presented at this Advanced Research Workshop will be of as
great interest to the reader as they were to the participants. The
organization of the ARW would have been impossible without the
generous funding by NATO, which is gratefully acknowledged. I
sincerely thank Drs. J. -M. Cadiou, Assistant Secretary General for
Scientific and Environmental Affairs, and J. A. Rausell-Colom,
Programme Director for Priority Area on High Technology, North
Atlantic Treaty Organization, who helped me throughout the various
stages of the ARW.
Dimensional scaling offers a new approach to quantum dynamical
correlations. This is the first book dealing with dimensional
scaling methods in the quantum theory of atoms and molecules.
Appropriately, it is a multiauthor production, derived chiefly from
papers presented at a workshop held in June 1991 at the A~rsted
Institute in Copenhagen. Although focused on dimensional scaling,
the volume includes contributions on other unorthodox methods for
treating nonseparable dynamical problems and electronic
correlation. In shaping the book, the editors serve three needs: an
introductory tutorial for this still fledgling field; a guide to
the literature; and an inventory of current research results and
prospects. Part I treats basic aspects of dimensional scaling.
Addressed to readers entirely unfamiliar with the subject, it
provides both a qualitative overview, and a tour of elementary
quantum mechanics. Part II surveys the research frontier. The eight
chapters exemplify current techniques and outline results. Part III
presents other methods, including nonseparable dynamics, and
electron correlation in pseudomolecular excited states of atoms.
Although procrustean conformity was not imposed, unifying and
complementary themes are emphasized throughout the book.
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