Effective potential from zero-momentum potential
Janos Balog, Pengming Zhang
TL;DR
This paper derives the effective potential in the center-of-mass frame from the zero-momentum potential within a relativistic 1D mechanics model using classical inverse scattering techniques.
Contribution
It introduces a method to obtain the effective potential from zero-momentum potential in relativistic integrable systems.
Findings
Successfully derives the effective potential from zero-momentum potential.
Applies classical inverse scattering to relativistic mechanics.
Provides a new approach for analyzing relativistic many-body systems.
Abstract
We obtain the centre-of-mass frame effective potential from the zero-momentum potential in Ruijsenaars-Schneider type 1-dimensional relativistic mechanics using classical inverse scattering methods.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Spectral Theory in Mathematical Physics · Quantum Mechanics and Non-Hermitian Physics