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Algebraic Theory of Molecules presents a fresh look at the mathematics of wave functions that provide the theoretical underpinnings of molecular spectroscopy. Written by renowned authorities in the field, the book demonstrates the advantages of algebraic theory over the more conventional geometric approach to developing the formal quantum mechanics inherent in molecular spectroscopy. Many examples are provided that compare the algebraic and geometric methods, illustrating the relationship between the algebraic approach and current experiments. The authors develop their presentation from a basic level so as to enable newcomers to enter the field while providing enough details and concrete examples to serve as a reference for the expert. Chemical physicists, physical chemists, and spectroscopists will want to read this exciting new approach to molecular spectroscopy.
During the week of June 6-9, 1978, a group of 36 physicists from 15
countries met in Erice, Sicily, for the first specialized seminar
on "Interacting Bosons in Nuclear Physics". The countries
represented were Argentina, Belgium, Denmark, Finland, France, the
Federal Republic of Germany, Israel, Italy, Japan, the Netherlands,
Poland, Sweden, the United Kingdom, the United States of America
and Yugoslavia. The Seminar was sponsored by the Italian Ministry
of Public Education (MPI), the Italian Ministry of Scientific and
Technological Research (MRST), the North Atlantic Treaty Organiza-
tion (NATO) and the Regional Sicilian Government (ERS). The purpose
of the Seminar was to discuss the present status of the Interacting
Boson Model both from the theoretical and experi- mental point of
view. Some of the lectures presented in this book summarize
particular aspects of the model and are based on previously
published work (F. Iachello, R. F. Casten, Z. Sujkowski, L. Hassel-
gren, H. Emling, I. Talmi, T. Otsuka, J. McGrory, A.E.L. Dieperink
and A. Arima). Others are entirely new. In particular, the lec-
tures of O. Scholten and A. Gelberg and V. Kaup present the first
extensive set of calculations based on the proton-neutron boson
model, while the lecture of J.N.Ginocchio describes a fermion model
with properties identical to those of the interacting boson model.
Also new are the le~tures of D. R. Bes, R. A. Broglia and P. F.
The interacting boson-fermion model has become in recent years the
standard model for the description of atomic nuclei with an odd
number of protons and/or neutrons. This book describes the
mathematical framework on which the interacting boson-fermion model
is built and presents applications to a variety of situations
encountered in nuclei. The book addresses both the analytical and
the numerical aspects of the problem. The analytical aspect
requires the introduction of rather complex group theoretic
methods, including the use of graded (or super) Lie algebras. The
first (and so far only) example of supersymmetry occurring in
nature is also discussed. The book is the first comprehensive
treatment of the subject and will appeal to both theoretical and
experimental physicists. The large number of explicit formulas for
level energies, electromagnetic transition rates and intensities of
transfer reactions presented in the book provide a simple but
detailed way to analyse experimental data. This book can also be
used as a textbook for advanced graduate students.
The interacting boson model was introduced in 1974 as an attempt to
describe collective properties of nuclei in a unified way. Since
1974, the model has been the subject of many investigations and it
has been extended to cover most aspects of nuclear structure. This
book gives an account of the properties of the interacting boson
model. In particular, this book presents the mathematical
techniques used to analyze the structure of the model. It also
collects in a single, easily accessible reference all the formulas
that have been developed throughout the years to account for
collective properties of nuclei. Suitable for both theorists and
experimentalists.
The interacting boson model was introduced in 1974 as an attempt to
describe collective properties of nuclei in a unified way. Since
1974, the model has been the subject of many investigations and it
has been extended to cover most aspects of nuclear structure. This
book gives an account of the properties of the interacting boson
model. In particular, this book presents the mathematical
techniques used to analyze the structure of the model. It also
collects in a single, easily accessible reference all the formulas
that have been developed throughout the years to account for
collective properties of nuclei. Suitable for both theorists and
experimentalists.
The interacting boson-fermion model has become in recent years the
standard model for the description of atomic nuclei with an odd
number of protons and/or neutrons. This book describes the
mathematical framework on which the interacting boson-fermion model
is built and presents applications to a variety of situations
encountered in nuclei. The book addresses both the analytical and
the numerical aspects of the problem. The analytical aspect
requires the introduction of rather complex group theoretic
methods, including the use of graded (or super) Lie algebras. The
first (and so far only) example of supersymmetry occurring in
nature is also discussed. The book is the first comprehensive
treatment of the subject and will appeal to both theoretical and
experimental physicists. The large number of explicit formulas for
level energies, electromagnetic transition rates and intensities of
transfer reactions presented in the book provide a simple but
detailed way to analyse experimental data. This book can also be
used as a textbook for advanced graduate students.
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