The vibrational dynamics of 3D HOCl above dissociation

Lin, Yi-Der; Reichl, L. E.; Jung, Christof

doi:10.1063/1.4915142

Cited by 9 publications

(2 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…An alternative cause for the persistence might be a discrete symmetry. For two examples of the use of such surfaces see [30,31].…”

Section: Conclusion and Final Remarksmentioning

confidence: 99%

Visualizing the perturbation of partial integrability

González¹,

Jung²

2015

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

In this paper we explain how the perturbation of partial integrability can be visualized by the restriction of the Poincaré map to an invariant two-dimensional subset of its full domain. The most appropriate surface is a normally hyperbolic invariant manifold built up by stack construction over the most prominent hyperbolic fixed point of the reduced Poincaré map for the partially integrable case. As an example, we present the numerical results for the motion of an electron in a perturbed magnetic dipole field.

show abstract

“…An alternative cause for the persistence might be a discrete symmetry. For two examples of the use of such surfaces see [30,31].…”

Section: Conclusion and Final Remarksmentioning

confidence: 99%

Visualizing the perturbation of partial integrability

González¹,

Jung²

2015

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

show abstract

“…It has been suggested that it can play a role in the internal dynamics of molecules [14,51]. It has been observed recently in the dynamics of periodically kicked spin systems [52].…”

Section: Discussionmentioning

confidence: 97%

Chaos-Assisted Tunneling

Reichl

2024

Entropy

View full text Add to dashboard Cite

The ability of particles to “tunnel” through potential energy barriers is a purely quantum phenomenon. A classical particle in a symmetric double-well potential, with energy below the potential barrier, will be trapped on one side of the potential well. A quantum particle, however, can sit on both sides, in either a symmetric state or an antisymmetric state. An analogous phenomenon occurs in conservative classical systems with two degrees of freedom and no potential barriers. If only the energy is conserved, the phase space will be a mixture of regular “islands” embedded in a sea of chaos. Classically, a particle sitting in one regular island cannot reach another symmetrically located regular island when the islands are separated by chaos. However, a quantum particle can sit on both regular islands, in symmetric and antisymmetric states, due to chaos-assisted tunneling. Here, we give an overview of the theory and recent experimental observations of this phenomenon.

show abstract

Fundamental Concepts

Reichl¹

2021

Fundamental Theories of Physics

View full text Add to dashboard Cite

The vibrational dynamics of 3D HOCl above dissociation

Cited by 9 publications

References 38 publications

Visualizing the perturbation of partial integrability

Visualizing the perturbation of partial integrability

Chaos-Assisted Tunneling

Fundamental Concepts

Contact Info

Product

Resources

About