High-fidelity first principles nonadiabaticity: Diabatization, analytic representation of global diabatic potential energy matrices, and quantum dynamics

Y Guan, C Xie, DR Yarkony, H Guo - Physical Chemistry Chemical …, 2021 - pubs.rsc.org
Nonadiabatic dynamics, which goes beyond the Born–Oppenheimer approximation, has
increasingly been shown to play an important role in chemical processes, particularly those …

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 …

Coupled three-dimensional quantum mechanical wave packet study of proton transfer in H2++ He collisions on accurate ab initio two-state diabatic potential energy …

K Naskar, S Ghosh, S Adhikari, M Baer… - The Journal of …, 2023 - pubs.aip.org
We have carried out fully close-coupled three dimensional quantum mechanical wave
packet dynamical calculations for the reaction He+ H 2+→ HeH++ H on the ground …

Coupled 3D (J ≥ 0) Time-Dependent Wave Packet Calculation for the F + H2 Reaction on Accurate Ab Initio Multi-State Diabatic Potential Energy Surfaces

K Naskar, S Mukherjee, S Ghosh… - The Journal of Physical …, 2024 - ACS Publications
We had calculated adiabatic potential energy surfaces (PESs), nonadiabatic, and spin–orbit
(SO) coupling terms among the lowest three electronic states (12A′, 22A′, and 12A ″) of …

Construction of Beyond Born‐Oppenheimer Based Diabatic Surfaces and Generation of Photoabsorption Spectra: The Touchstone Pyrazine (C4N2H4)

S Hazra, S Mukherjee, S Ravi, S Sardar… - …, 2022 - Wiley Online Library
We construct theoretically “exact “and numerically “accurate” Beyond Born‐Oppenheimer
(BBO) based diabatic potential energy surfaces (PESs) of pyrazine (C4N2H4) molecule …

Permutation invariant polynomial neural network based diabatic ansatz for the (E+ A)×(e+ a) Jahn–Teller and Pseudo-Jahn–Teller systems

Y Guan, DR Yarkony, DH Zhang - The Journal of Chemical Physics, 2022 - pubs.aip.org
In this work, the permutation invariant polynomial neural network (PIP-NN) approach is
employed to construct a quasi-diabatic Hamiltonian for system with non-Abelian symmetries …

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 …

Neural network representation of three-state quasidiabatic Hamiltonians based on the transformation properties from a valence bond model: three singlet states of …

Z Yin, BJ Braams, B Fu, DH Zhang - Journal of Chemical Theory …, 2021 - ACS Publications
A neural network (NN) approach was recently developed to construct accurate quasidiabatic
Hamiltonians for two-state systems with conical intersections. Here, we derive the …

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 …

Quantum simulation of conical intersections

Y Wang, DA Mazziotti - Physical Chemistry Chemical Physics, 2024 - pubs.rsc.org
We explore the simulation of conical intersections (CIs) on quantum devices, setting the
groundwork for potential applications in nonadiabatic quantum dynamics within molecular …