Quasibound states in a chaotic molecular system

Barr, Alex M.; Na, Kyungsun; Reichl, L. E.

doi:10.1103/physreva.83.062510

Cited by 9 publications

(5 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The vibrational motion of small molecules, such as HOCl, provides a laboratory for studying the quantum-classical correspondence (QCC) in coupled nonlinear oscillator systems. In a previous paper [17], we studied the QCC using the 2D model of the HOCl molecule. We found that bound states in the quantum system lie primarily on classical periodic orbits, while quasibound states are supported by unstable classical periodic orbits in the continuum.…”

Section: Discussionmentioning

confidence: 99%

Fractal scattering dynamics of the three-dimensional HOCl molecule

et al. 2013

Self Cite

View full text Add to dashboard Cite

We compare the 2D and 3D classical fractal scattering dynamics of Cl and HO for energies just above dissociation of the HOCl molecule, using a realistic potential energy surface for the HOCl molecule and techniques developed to analyze 3D chaotic scattering processes. For parameter regimes where the HO dimer initially has small vibrational energy, only small intervals of initial conditions show fractal scattering behavior and the scattering process is well described by a 2D model. For parameter regimes where the HO dimer initially has large vibrational energy, the scattering process is fully 3D and is dominated by fractal behavior.

show abstract

Section: Discussionmentioning

confidence: 99%

Fractal scattering dynamics of the three-dimensional HOCl molecule

et al. 2013

Self Cite

View full text Add to dashboard Cite

show abstract

“…The reaction region is coupled to the asymptotic region with a singular coupling [31,32]. It is useful to note that W-E scattering theory more recently has also been used to analyze electron scattering in quasi-one-dimensional waveguides [33,34], for analyzing the dissociation of the HOCl molecule [36], and for scattering of waves from systems with cylindrical symmetry [37,38]. The procedure is well described in [35,39], so we only outline the steps here.…”

Section: Reaction Matrix For the Bloch Channelsmentioning

confidence: 99%

Bound states in the Brillouin zone continuum

Porter

Barr

Reichl

2019

Physica B: Condensed Matter

View full text Add to dashboard Cite

Systems with space periodic Hamiltonians have unique scattering properties. The discrete translational symmetry associated with periodicity of the Hamiltonian creates scattering channels that govern the scattering process. We consider a two-dimensional scattering system in which one dimension is a periodic lattice and the other is localized in space. The scattering and decay processes can then be described in terms of channels indexed by the Bloch momentum. We find the 1D periodic lattice can sustain two types of bound states in the positive energy continuum (BICs): one protected by reflection symmetry, the other protected by discrete translational symmetry. The lattice also sustains long-lived quasibound states. We expect that our results can be generalized to the behavior of states in the continuum of 2D periodic lattices.

show abstract

“…Periodic orbits provide a pathway along which a quantum wave can constructively interfere with itself and thereby create a bound or quasibound quantum state. The connection between classical periodic orbits and quantum bound and quasibound states is well established for 2D systems [5,7], and there is evidence [4] that a similar correspondence exists for systems with three degrees of freedom (3D).…”

Section: (A)mentioning

confidence: 99%

“…The 3D B 0 stable periodic orbit, and its unstable Short periodic orbits, such as the 2D and 3D B 0 periodic orbits serve as organizing centers for large regions of the dynamics, and play an important role in the vibrational quantum dynamics of the molecule. References [5,6] showed that such periodic orbits in 2D HOCl form the backbone of bound We can use the above information about the 3D B 0 orbit to make some predictions about the quantum behavior of the orbit. We have found that the stable 3D periodic orbit B 0 exists over the whole energy interval E≈1.…”

Section: Periodic Orbits Of Hoclmentioning

confidence: 99%

“…Recent work on the classical-quantum correspondence of dynamical processes in models of HOCl with two degrees of freedom (2D) [5,6] has shown that quasibound states (long-lived quantum states above dissociation), find their support on classical periodic orbits that can exist above the HO-Cl dissociation energy. Periodic orbits provide a pathway along which a quantum wave can constructively interfere with itself and thereby create a bound or quasibound quantum state.…”

Section: (A)mentioning

confidence: 99%

See 1 more Smart Citation

The vibrational dynamics of 3D HOCl above dissociation

Lin

Reichl

Jung

2015

The Journal of Chemical Physics

Self Cite

View full text Add to dashboard Cite

We explore the classical vibrational dynamics of the HOCl molecule for energies above the dissociation energy of the molecule. Above dissociation, we find that the classical dynamics is dominated by an invariant manifold which appears to stabilize two periodic orbits at energies significantly above the dissociation energy. These stable periodic orbits can hold a large number of quantum states and likely can support a significant quasibound state of the molecule, well above the dissociation energy. The classical dynamics and the lifetime of quantum states on the invariant manifold are determined.

show abstract

Quasibound states in a chaotic molecular system

Cited by 9 publications

References 23 publications

Fractal scattering dynamics of the three-dimensional HOCl molecule

Fractal scattering dynamics of the three-dimensional HOCl molecule

Bound states in the Brillouin zone continuum

The vibrational dynamics of 3D HOCl above dissociation

Contact Info

Product

Resources

About