1999The Journal of Chemical PhysicsRequires access

A local understanding of the quantum chemical geometric phase theorem in terms of diabatic states

Gregory J. Atchity, Klaus Ruedenberg

Open publisher page 16 citations

Abstract

A global understanding of the geometric phase theorem associated with conical intersections is gained in terms of local properties of the Hamiltonian along the path actually traversed by means of a resolution of adiabatic states in terms of diabatic states. The analysis also answers certain questions that are left open by formulations in terms of intersection seams. It moreover leads to a method for determining the location of the adiabatic intersections.

About this research paper

What this paper is about

A global understanding of the geometric phase theorem associated with conical intersections is gained in terms of local properties of the Hamiltonian along the path actually traversed by means of a resolution of adiabatic states in terms of diabatic states. The analysis also answers certain questions that are left open by formulations in terms of intersection seams. It moreover leads to a method for determining the location of the adiabatic intersections.

Why it matters

OpenAlex reports 16 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

A global understanding of the geometric phase theorem associated with conical intersections is gained in terms of local properties of the Hamiltonian along the path actually traversed by means of a resolution of adiabatic states in terms of diabatic states. The analysis also answers certain questions that are left open by formulations in terms of intersection seams. It moreover leads to a method for determining the location of the adiabatic intersections.

Key concepts: Diabatic, Conical intersection, Geometric phase, Adiabatic process, Hamiltonian (control theory), Intersection (aeronautics), Quantum mechanics, Conical surface

Related papers

Back to paper searchBrowse research topicsOriginal source
A local understanding of the quantum chemical geometric phase theorem in terms of diabatic states — Research Paper | ScholarLens