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Published on: June 8, 2018
Quantum chaos in the nuclear collective model: Classical-quantum correspondence
Pavel Stránský1, Petr Hruska, Pavel Cejnar
1Institute of Particle and Nuclear Physics, Faculty of Mathematics and Physics, Charles University, 180 00 Prague, Czech Republic.
Summary
This study analyzes atomic nuclei spectra using the geometric collective model to find chaotic correlations in nonrotational states. Chaotic signatures previously seen in classical models are now confirmed at the quantum level.
Area of Science:
- Nuclear Physics
- Quantum Mechanics
- Chaos Theory
Background:
- The geometric collective model describes atomic nuclei properties.
- Previous work indicated variable classical features (regular and chaotic) with energy and parameters.
- Understanding quantum signatures of chaos is crucial in nuclear structure.
Purpose of the Study:
- To identify chaotic correlations in nonrotational states within the geometric collective model.
- To verify quantum-level signatures of chaos previously observed classically.
- To explore the influence of quantization schemes and classicality on quantum chaos.
Main Methods:
- Analysis of spectra generated by the geometric collective model.
- Investigation of nonrotational states.
- Application of different quantization schemes.
- Varying the classicality constant.
Main Results:
- Chaotic correlations were identified among nonrotational states.
- Quantum signatures corresponding to classical chaotic features were confirmed.
- The results hold across different quantization schemes and classicality values.
Conclusions:
- The geometric collective model exhibits quantum chaotic behavior in nonrotational states.
- Quantum chaos in this model is robust with respect to quantization methods and classicality.
- This provides a quantum mechanical basis for observed classical chaos in atomic nuclei.
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