Bound state equations in Riemannian geometry

Abstract

We study formulations of bound state (Bethe-Salpeter) equations on arbitrary Riemannian manifolds. We obtain a hierarchy of equations for multipartice wave functions. These equations, at each number of particles, depend on certain choices of combinatorial origin, which together with the metric, define the equations completely.

References in corpus (2)

• Heavy quarkonium: progress, puzzles, and opportunities
• Two-loop self-energy in the Lamb shift of the ground and excited states of hydrogen-like ions

Cited by in corpus (1)

• CFNS Ad-Hoc meeting on Radiative Corrections Whitepaper