212 citations · 848 across the 74 of their papers we have counts for
16 papers · 1 filter
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…
Noise Effects on Pade Approximants and Conformal Maps
Ovidiu Costin, Gerald V. Dunne, Max Meynig
We analyze the properties of Pade and conformal map approximants for functions with branch points, in the situation where the expansion coefficients are only known with finite prec…
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…
Ionization by an Oscillating Field: Resonances and Photons
Ovidiu Costin, Rodica D. Costin, Joel L. Lebowitz
We describe new exact results for a model of ionization of a bound state, induced by an oscillating potential. In particular we have obtained exact expressions, in the form of read…
Nonperturbative time dependent solution of a simple ionization model
Ovidiu Costin, Rodica D. Costin, Joel L. Lebowitz
We present a non-perturbative solution of the Schrödinger equation , written in units in which , describing the ionizat…
Oscillatory critical amplitudes in hierarchical models and the tail of the Harris random variable
Ovidiu Costin, Giambattista Giacomin
Oscillatory critical amplitudes have been repeatedly observed in hierarchical models and, in the cases that have been taken into consideration, these oscillations are so small to b…
Gamow vectors and Borel summability
Ovidiu Costin, Min Huang
We analyze the detailed time dependence of the wave function for one dimensional Hamiltonians where (for example modeling barriers or wells) and…
Ionization in damped time-harmonic fields
O. Costin, M. Huang, Z. Qiu
We study the asymptotic behavior of the wave function in a simple one dimensional model of ionization by pulses, in which the time-dependent potential is of the form $V(x,t)=-2δ(x)…
Semiclassical analysis of low and zero energy scattering for one dimensional Schrödinger operators with inverse square potentials
Ovidiu Costin, Wilhelm Schlag, Wolfgang Staubach +1
This paper studies the scattering matrix of the problem \[ -\hbar^2 ψ''(x) + V(x) ψ(x) = Eψ(x) \] for positive potentials with inverse square behav…
On the proof of universality for orthogonal and symplectic ensembles in random matrix theory
Ovidiu Costin, Percy Deift, Dimitri Gioev
We give a streamlined proof of a quantitative version of a result from [DG1] which is crucial for the proof of universality in the bulk [DG1] and also at the edge [DG2] for orthogo…
Ionization in a 1-Dimensional Dipole Model
O. Costin, J. L. Lebowitz, C. Stucchio
We study the evolution of a one dimensional model atom with -function binding potential, subjected to a dipole radiation field with a -periodic real-valued…
Exact Results for the Ionization of a Model Quantum System
O. Costin, A. Rokhlenko, J. Lebowitz
We prove that a model atom having one bound state will be fully ionized by a time periodic potential of arbitrary strength r and frequency omega. Starting with the system in the bo…
Nonperturbative analysis of a model quantum system under time periodic forcing
O. Costin, R. D. Costin, A. Rokhlenko J. Lebowitz
We analyze the time evolution of a one-dimensional quantum system with an attractive delta function potential whose strength is subjected to a time periodic (zero mean) parametric…
Time asymptotics of the Schroedinger wave function in time-periodic potentials
O. Costin, R. D. Costin, J. L. Lebowitz
We study the transition to the continuum of an initially bound quantum particle in $\RR^d$, , subjected, for , to a time periodic forcing of arbitrary magnitude. T…
Borel summability and Lindstedt series
O. Costin, G. Gallavotti, G. Gentile +1
Resonant motions of integrable systems subject to perturbations may continue to exist and to cover surfaces with parametric equations admitting a formal power expansion in the stre…
On the complete ionization of a periodically perturbed quantum system
O. Costin, J. L. Lebowitz, A. Rokhlenko
We analyze the time evolution of a one-dimensional quantum system with zero range potential under time periodic parametric perturbation of arbitrary strength and frequency. We show…