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arXiv · 2511.13975

Formulation of fully covariant Quantum-Molecular Dynamics for an N-body system with scalar and vector potentials

Jiaxing Zhao·Joerg Aichelin·Elena Bratkovskaya
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Abstract

We present a fully covariant transport framework for Molecular Dynamics that enables a consistent description of the evolution of relativistic N-body systems. We derive relativistic equations of motion of a system of particles interacting with both scalar and vector two body interactions within a manifestly covariant formulation. This approach, without approximations, addresses several fundamental issues in relativistic many-body dynamics: the implications of different choices of time-constraints, the emergence of the non-relativistic limit, the frame independence of the system's evolution, and the distinct dynamical roles of scalar and vector potentials. These aspects are investigated in detail for the scattering of two- and four-body systems, offering new insights into the consistency and physical interpretation of relativistic interactions in a covariant setting.

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Jiaxing Zhao, Joerg Aichelin, Elena Bratkovskaya. 2026-09-09. Formulation of fully covariant Quantum-Molecular Dynamics for an N-body system with scalar and vector potentials. https://arxiv.org/abs/2511.13975

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