A Note on the Toda Criterion for Interacting Dipole-Quadrupole Vibrations

Abstract

The Toda criterion of the Gaussian curvature is applied to calculate analytically the transition energy from regular to chaotic motion in a schematic model describing the interaction between collective dipole and quadrupole modes in atomic nuclei.

Latex, 9 pages, 2 figures (available upon request), to be published in Modern Physics Letters A

References in corpus (2)

• Quantum Chaos in Vibrational Nuclei: the Green Function Approach
• The Onset of Chaos with a Quadrupole--Quadrupole Interaction

Cited by in corpus (2)

• Geometric investigation of chaos unfolding in Hamiltonian systems
• Revisiting the Toda-Brumer-Duff criterion for order-chaos transition in dynamical systems