Quantum Chaos generates Regularities

Journal Article · Fri Jul 08 04:00:00 EDT 2005 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.1996879· OSTI ID:20722982

Otsuka, Takaharu ^[1]; RIKEN, ^[2]; Shimizu, Noritaka ^[1]; RIKEN, ^[2]

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1. Department of Physics, University of Tokyo (Japan)
2. Japan

The mechanism of the dominance (preponderance) of the 0+ ground state for random interactions is proposed to be the chaotic realization of the highest rotational symmetry. This is a consequence of a general principle on the chaos and symmetry that the highest symmetry is given to the ground state if sufficient mixing occurs in a chaotic way by a random interaction. Under this symmetry-realization mechanism, the ground-state parity and isospin can be predicted so that the positive parity is favored over the negative parity and the isospin T = 0 state is favored over higher isospin. It is further suggested how one can enhance the realization of highest symmetries within random interactions. Thus, chaos and symmetry are shown to be linked deeply.

• OSTI ID: 20722982
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 777; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
CHAOS THEORY
GROUND STATES
ISOSPIN
PARITY
RANDOMNESS
SHELL MODELS
SYMMETRY