Uniform trace formulae for SU(2) and SO(3) symmetry breaking

Brack, Matthias and Meier, P. and Tanaka, K. (1999) Uniform trace formulae for SU(2) and SO(3) symmetry breaking. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 32 (2). pp. 331-353. ISSN 0305-4470,

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Abstract

We develop uniform approximations for the trace formula for non-integrable systems in which SU(2) symmetry is broken by a nonlinear term of the Hamiltonian. As specific examples, we investigate Henon-Heiles type potentials. Our formalism can also be applied to the breaking of SO(3) symmetry in a three-dimensional cavity with axially-symmetric quadrupole deformation.

Item Type: Article
Uncontrolled Keywords: METAL-CLUSTERS; SEMICLASSICAL INTERPRETATION; ORBITAL MAGNETISM; PERIODIC-ORBITS; SHELL STRUCTURE; SPECTRUM; SYSTEMS; DENSITY; FIELDS;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Alumni or Retired Professors > Group Matthias Brack
Depositing User: Dr. Gernot Deinzer
Date Deposited: 22 Nov 2022 15:07
Last Modified: 22 Nov 2022 15:07
URI: https://pred.uni-regensburg.de/id/eprint/48582

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