85 citations · 158 across the 28 of their papers we have counts for
4 papers · 1 filter
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…
Rigorous WKB for finite order linear recurrence relations with smooth coefficients
O. Costin, R. D. Costin
We study the behavior of recurrence relations of the type $k\in \zdd$ ( fixed). The are functions in each variable…
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…
Rigorous bounds of Stokes constants for some nonlinear ODEs at rank one irregular singularities
O. Costin, R. D. Costin, M. Kohut
A rigorous way to obtain sharp bounds for Stokes constants is introduced and illustrated on a concrete problem arising in applications.