We study non–adiabatic transitions in scattering theory for the time dependent molecular Schrödinger equation in the Born–Oppenheimer limit. We assume the electron Hamiltonian has finitely many levels and consider the propagation of coherent states with high enough total energy. When two of the electronic levels are isolated from the rest of the electron Hamiltonian’s spectrum and display an av...

sReceived 23 August 2004; accepted 10 November 2004; published online 20 January 2005d We report the incorporation of thin films of a cyanine dye J aggregate into a versatile, length tunable, optical microcavity. The dense J-aggregate layers give an optical response that can be modified by embedding them at specific positions within heterostructures of dielectric and metal layers. The microcavi...

The crossing minimization problem is a classic and very important problem in graph drawing (Pach, Tòth 1997); the results directly affect the effectiveness of the layout, especially for very large scale graphs. But in many cases crossings cannot be avoided. In this paper we present two models for bipartite graph drawing, aiming to reduce crossings that cannot be avoided in the traditional bilay...

A recent paper in this journal proposed the conversion of conical intersections to avoided crossings by lowering the symmetry with an optical field. The article also claimed that the characters of nonadiabatic transitions caused by avoided crossings and conical intersections are qualitatively different. The present comment shows that this proposal and this claim result from an incorrect appreci...

The potential energy curve describing the fragmentation of a diatomic dication ABZ+ is considered as arising from an avoided crossing between an attractive diabatic curve (correlating with A' + B) and a repulsive diabatic curve (correlating with A+ + B'). The simplest avoided-crossing (AC) model neglects diabatic coupling and polarization and leads to useful predictions of the transition struct...

We describe an interpretation of convection in binary fluid mixtures as a superposition of thermal and solutal problems, with coupling due to advection and proportional to the separation parameter S. Many of the properties of binary fluid convection are then consequences of generic properties of 2 × 2 matrices. The eigenvalues of 2× 2 matrices varying continuously with a parameter r undergo eit...

We demonstrate the effects of cavity quantum electrodynamics for a quantum dot coupled to a photonic molecule consisting of a pair of coupled photonic crystal cavities. We show anticrossing between the quantum dot and the two supermodes of the photonic molecule, signifying achievement of the strong coupling regime. From the anticrossing data, we estimate the contributions of both mode-coupling ...

We have designed and constructed an experiment to trap a single ion in a Penning trap and measure its motion with an RF SQUID-based, superconducting detector. Using this apparatus we have detected the axial motion of a single, trapped N ion. We describe the theory of ion motion in an imperfect Penning trap and use this theory to explain our measurements on trapped ions. We describe and demonstr...

Simulations of the photoconversion of 4a,4b-dihydrophenanthrene (DHP) to stilbene, using semiclassical electron-radiation-ion dynamics, are reported. The carbon single bond connecting the phenyl rings breaks approximately 200 fs after the laser pulse is turned off. In the results shown here, the excited cis-stilbene molecule then further isomerizes to the trans conformation after about 1 ps. Ea...