Introduction to the theory of electronic non-adiabatic coupling terms in molecular systems

M Baer - Physics Reports, 2002 - Elsevier
The Born–Oppenheimer treatment leads to the adiabatic framework where the non-adiabatic
terms are the physical entities responsible for the coupling between adiabatic states. The …

Fundamental approaches to nonadiabaticity: Toward a chemical theory beyond the Born–Oppenheimer paradigm

T Yonehara, K Hanasaki, K Takatsuka - Chemical Reviews, 2012 - ACS Publications
Nonadiabatic transitions are one of the most important quantum mechanical phenomena in
chemical reaction dynamics. This is because the most interesting chemical and even …

Conical intersections: The new conventional wisdom

DR Yarkony - The Journal of Physical Chemistry A, 2001 - ACS Publications
During the past decade the perception of conical intersections has changed. It is now
appreciated that what was once viewed largely as a theoretical curiosity is an essential …

Nuclear dynamics near conical intersections in the adiabatic representation: I. The effects of local topography on interstate transitions

DR Yarkony - The Journal of Chemical Physics, 2001 - pubs.aip.org
The local topography of a conical intersection can be represented by four parameters,
readily determined from multireference configuration interaction wave functions, describing …

Beyond Born–Oppenheimer theory for spectroscopic and scattering processes

B Mukherjee, K Naskar, S Mukherjee… - … Reviews in Physical …, 2019 - Taylor & Francis
We review our development on beyond Born–Oppenheimer (BBO) theory and its
implementation on various models and realistic molecular processes as carried out over the …

Extended Born-Oppenheimer equation for a three-state system

B Sarkar, S Adhikari - The Journal of chemical physics, 2006 - pubs.aip.org
We present explicit forms of nonadiabatic coupling (NAC) elements of nuclear Schrödinger
equation (SE) for a coupled three-state electronic manifold in terms of mixing angles of real …

Extended approximated Born-Oppenheimer equation. I. Theory

M Baer, SH Lin, A Alijah, S Adhikari, GD Billing - Physical Review A, 2000 - APS
In this study we consider Born-Oppenheimer coupled equations with the aim of deriving a
single approximated Born-Oppenheimer-type equation which contains the effect of the …

ADT: A Generalized Algorithm and Program for Beyond Born–Oppenheimer Equations of “N” Dimensional Sub-Hilbert Space

K Naskar, S Mukherjee, B Mukherjee… - Journal of Chemical …, 2020 - ACS Publications
The major bottleneck of first principle based beyond Born–Oppenheimer (BBO) treatment
originates from large number and complicated expressions of adiabatic to diabatic …

The role of electron–nuclear coupling on multi-state photoelectron spectra, scattering processes and phase transitions

J Dutta, S Mukherjee, K Naskar, S Ghosh… - Physical Chemistry …, 2020 - pubs.rsc.org
We present first principle based beyond Born–Oppenheimer (BBO) theory and its
applications on various models as well as realistic spectroscopic and scattering processes …

Construction of diabatic Hamiltonian matrix from ab initio calculated molecular symmetry adapted nonadiabatic coupling terms and nuclear dynamics for the excited …

S Mukherjee, S Bandyopadhyay, AK Paul… - The Journal of …, 2013 - ACS Publications
We present the molecular symmetry (MS) adapted treatment of nonadiabatic coupling terms
(NACTs) for the excited electronic states (22E′ and 12A1′) of Na3 cluster, where the …