Necessary conditions for a rigorous minimal diabatic potential matrix

M Baer, AM Mebel, GD Billing - The Journal of Physical Chemistry …, 2002 - ACS Publications
In this article, one of the more important dilemmas in molecular physics is considered: given
a matrix of the nonadiabatic coupling terms of any desired dimension, what is the minimal …

Geometric phase for collinear conical intersections. I. Geometric phase angle and vector potentials

X Li, DA Brue, BK Kendrick, JD Blandon… - The Journal of chemical …, 2011 - pubs.aip.org
We present a method for properly treating collinear conical intersections in triatomic
systems. The general vector potential (gauge theory) approach for including the geometric …

Do intense electromagnetic fields annihilate∕ create conical intersections?

B Sarkar, S Adhikari, M Baer - The Journal of chemical physics, 2007 - pubs.aip.org
In this article the authors relate the possibility that an intense electric field affects topological
features of a molecular system. For this purpose they studied a model based on the Mathieu …

Three-body predissociation of D3 and H3 32A′(2sa′ 1): wave packet dynamics and momentum correlation

M Lehner, M Jungen - Journal of Physics B: Atomic, Molecular …, 2012 - iopscience.iop.org
Predissociation of the short-lived 3 2 A'(2sa'1) state of D 3 and H 3 is studied by three-
dimensional wave packet dynamics on the pair of coupled ground state potential energy …

The Curl–Divergence equations for the electronic non-adiabatic coupling terms: study of the C2H molecule and the H2+ H system

S Hu, G Halász, Á Vibók, AM Mebel, M Baer - Chemical physics letters, 2003 - Elsevier
This Letter is part of an effort to use the Curl equations to calculate non-adiabatic coupling
terms, subject to ab initio boundary conditions. As examples we consider two-state, planar …

Analytic–numerical approach to calculate electronic nonadiabatic coupling terms: Study of the C2H molecule and the H2 + H system

A Vibok, G Halasz, AM Mebel, S Hu… - International journal of …, 2004 - Wiley Online Library
Abstract The Curl equations (Baer, M. Chem Phys Lett 1975, 35, 112) are applied to
calculate the nonadiabatic coupling terms, τij, subject to ab initio boundary conditions. As an …

Permutational Symmetry and the Role of Nuclear Spin in the Vibrational Spectra of Molecules in Doubly Degenerate Electronic States: The Trimers of 2S Atoms

AJC Varandas, ZR Xu - The Role of Degenerate States in …, 2002 - Wiley Online Library
This chapter deals with the early contributions to the theory of geometric phase and non‐
adiabatic coupling thus providing us with an historical perspective to the field. The seminal …

[图书][B] Coherent control and geometric phase

X Li - 2008 - search.proquest.com
We present the ability to coherently control triatomic chemical reactions with pulsed-laser
techniques. We show that one can control the final state probability distribution of triatomic …

6. ADIABATIC APPROXIMATION AND RELATED ISSUES INCLUDING TOPOLOGICAL IMPLICATIONS

AJC Varandas - uantal Aspects in Chemistry and Physics, 2011 - books.google.com
We provide a perspective on several issues of the adiabatic approximation to the
fundamental equation of quantum chemistry as suggested by Born and Oppenheimer …

[PDF][PDF] Etude des contributions aux surfaces de potentiel et couplages non-adiabatiques par calculs ab initio de structures électroniques et mise aux points des …

M Hochlaf - 2010 - ebureau.univ-reims.fr
Born et Oppenheimer [8] en 1927 proposent de séparer l'Hamiltonien moléculaire en
Hamiltonien électronique et opérateur d'énergie cinétique nucléaire. Apparait alors …