Quantum mechanics

Function (biology)

Philosophy

Pure mathematics

Mathematical physics

Biology

Einstein

Scattering amplitude

Scattering

Simple (philosophy)

Classical mechanics

Evolutionary biology

Physics

Corollary

Amplitude

Mathematics

Epistemology

General relativity

Theory of relativity

Special relativity

Journal of High Energy Physics

Using the implicit function theorem we demonstrate that solutions to the classical part of the relativistic Lippmann-Schwinger equation are in one-to-one correspondence with those of the energy equation of a relativistic two-body system. A corollary is that the scattering angle can be computed from the amplitude itself, without having to introduce a potential. All results are universal and provide for the case of general relativity a very simple formula for the scattering angle in terms of the classical part of the amplitude, to any order in the post-Minkowskian expansion.

Post-Minkowskian scattering angle in Einstein gravity