85 citations · 158 across the 28 of their papers we have counts for
30 papers
Long time evolution of the Hénon-Heiles system for small energy
Ovidiu Costin, Rodica Costin, Kriti Sehgal
The Hénon-Heiles system, initially introduced as a simplified model of galactic dynamics, has become a paradigmatic example in the study of nonlinear systems. Despite its simplicit…
Parabolic cylinder functions revisited using the Laplace transform
Rodica D. Costin, Georgios Mavrogiannis
In this paper we gather and extend classical results for parabolic cylinder functions, namely solutions of the Weber differential equations, using a systematic approach by Borel-La…
Non-perturbative Solution of the 1d Schrodinger Equation Describing Photoemission from a Sommerfeld model Metal by an Oscillating Field
Ovidiu Costin, Rodica Costin, Ian Jauslin +1
We analyze non-perturbatively the one-dimensional Schrödinger equation describing the emission of electrons from a model metal surface by a classical oscillating electric field. Pl…
On the domain of convergence of spherical harmonic expansions
O. Costin, R. D. Costin, C. Ogle +1
Spherical harmonic expansions (SHEs) play an important role in most of the physical sciences, especially in physical geodesy. Despite many decades of investigation, the large order…
Exact solution of the Schrodinger equation for photoemission from a metal
Ovidiu Costin, Rodica Costin, Ian Jauslin +1
We solve rigorously the time dependent Schrödinger equation describing electron emission from a metal surface by a laser field perpendicular to the surface. We consider the system…
Solution of the time dependent Schrödinger equation leading to Fowler-Nordheim field emission
Ovidiu Costin, Rodica D. Costin, Ian Jauslin +1
We solve the time-dependent Schrödinger equation describing the emission of electrons from a metal surface by an external electric field , turned on at . Starting with a wa…