Violations of the Born-Oppenheimer approximation (BOA) and the consequent nonadiabatic dynamics have long been an object of intense study. Recently, such dynamics have been induced via strong coupling of the molecule to a high-amplitude (spatially confined) mode of the electromagnetic field in optical cavities. However, the effects of a cavity on a pre-existing avoided crossing or conical inter...

This account places a particular emphasis on recent progress in the theory and its applications of nonadiabatic electron dynamics chemical science. After brief description fundamental relevance breakdown Born-Oppenheimer approximation, we show examples our extensive systematic application to highlight significance necessity beyond-Born-Oppenheimer chemistry. The subjects presented herewith cove...

Normalized vacuum states in N = 4 supersymmetric Yang–Mills quantum mechanics with any gauge group. Abstract We study the question of existence and the number of normalized vacuum states in N = 4 super–Yang–Mills quantum mechanics for any gauge group. The mass deformation method is the simplest and clearest one. It allowed us to calculate the number of normalized vacuum states for all gauge gro...

The optimal control of molecules has been widely studied in recent years. In this paper we explore the feasibility of applying adaptive feedback optimal control to determine Born-Oppenheimer (BO) surfaces. If the molecular wave packet is well localized, laser pulses optimized to transfer population between two surfaces contain information on the potential energy diierence in the region scanned ...

We introduce a novel technique that utilizes physics-driven deep learning method to reconstruct the dense matter equation of state from neutron star observables, particularly masses and radii. The proposed framework involves two neural networks: one optimize EoS using Automatic Differentiation in unsupervised scheme; pre-trained network solve Tolman–Oppenheimer–Volkoff (TOV) equations. gradient...