Hospital Performance on Percutaneous Coronary Intervention Process and Outcomes Measures

Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/139090/1/jah32022_am.pdfhttps://deepblue.lib.umich.edu/bitstream/2027.42/139090/2/jah32022.pd

On the Influence of Pulse Shapes on Ionization Probability

We investigate analytical expressions for the upper and lower bounds for the ionization probability through ultra-intense shortly pulsed laser radiation. We take several different pulse shapes into account, including in particular those with a smooth adiabatic turn-on and turn-off. For all situations for which our bounds are applicable we do not find any evidence for bound-state stabilization.Comment: 21 pages LateX, 10 figure

Introduction to mathematic analysis

vii+359hlm.;23c

Introduction to mathematical analysis

viii, 359 hlm. :il. ;22 cm

Sudden perturbation approximations for interaction of atoms with intense ultrashort electromagnetic pulses

© 2015 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg. The response of an atom to the action of a pulse shorter than the Kepler period of the optically-active electron is often treated analytically using the sudden-perturbation approximation (SPA). It relies on the truncation of the evolution operator expansion in a series over the dimensionless parameter e sys t L, where e sys is the system-dependent characteristic energy and t L is the pulse duration. We examine the SPA with the use of a basis-based solution of the time-dependent Schrödinger equation (TDSE) for the case of a hydrogen atom interacting with two different types of ultrashort pulses, a half-cycle pulse and a few-cycle pulse. The length-gauge form of the electron-field interaction potential is used. The SPA transition probabilities are shown to deviate slightly but systematically from the correct values for the positive-energy states in the region where the sudden-perturbation condition is violated. It is shown that the SPA expectation value of the electron displacement as a function of time differ qualitatively from what follows from the ab initio TDSE solution. Nevertheless, the SPA is shown to be a good approximation for the description of the expectation value of the electron momentum