4 papers
Quantum dynamics of a one degree-of-freedom Hamiltonian saddle-node bifurcation
Wenyang Lyu, Shibabrat Naik, Stephen Wiggins
In this paper, we study the quantum dynamics of a one degree-of-freedom (DOF) Hamiltonian that is a normal form for a saddle node bifurcation of equilibrium points in phase space.…
Hamiltonian pitchfork bifurcation in transition across index-1 saddles
Wenyang Lyu, Shibabrat Naik, Stephen Wiggins
We study the effect of changes in the parameters of a two-dimensional potential energy surface on the phase space structures relevant for chemical reaction dynamics. The changes in…
Elementary exposition of realizing phase space structures relevant to chemical reaction dynamics
Wenyang Lyu, Shibabrat Naik, Stephen Wiggins
In this article, we review the analytical and numerical approaches for computing the phase space structures in two degrees-of-freedom Hamiltonian systems that arise in chemical rea…
The role of depth and flatness of a potential energy surface in chemical reaction dynamics
Wenyang Lyu, Shibabrat Naik, Stephen Wiggins
In this study, we analyze how changes in the geometry of a potential energy surface in terms of depth and flatness can affect the reaction dynamics. We formulate depth and flatness…