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Prog. Theor. Phys. Supplement No.124 (1996) pp. 75-99
Quantum Chaos and Its Application
Takahiro Mizusaki *
Department of Physics, University of Tokyo, Tokyo 113, Japan
Abstract:
The present article is a note of my lecture in The Aizu University
at Oct. 1994. The first part is designed to present
an outline of the field called Quantum Chaos for primers.
The problems in the quantization of classical system in the presence of
chaos, the well-established results in this subject and
the current status of Quantum Chaos are discussed.
The second part of this lecture note is devoted to introduce my recent work.
Within the framework of the Interacting Boson Model (IBM), we discuss
rotational damping, which has a close relation to the transition from
order to chaos at high spin states.
We discuss the basic mechanism of its appearance by showing,
the global properties of the level density and electromagnetic transitions,
including their fluctuation properties in the system governed
by the quadrupole-quadrupole interaction at highly excited, high spin states.
It is demonstrated that an unexpected regularity arises due to a
quadrupole-quadrupole interaction at high spin state.
We present an articulate elucidation on the importance of the higher
multipole interactions, which cause the mixing among highly
excited rotational bands.
For the damping width of the rotational bands, an explanation
based on the SU(3) limit of the IBM is suggested.
This work is done under the collaboration with
T. Otsuka and P. von Brentano.
URL :
http://ptp.ipap.jp/link?PTPS/124/75/
DOI : 10.1143/PTPS.124.75
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