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<p>Based on the Hamiltonian approach to the source theory, the scattering cross-section of gravitational bremsstrahlung of a charged particle scattering off the Coulomb potential is provided. It is shown that the cross section can be obtained by calculating the imaginary part of the effective action defined in terms of the persistence amplitude of the combined particle-graviton state <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\vert {{\textbf {p}}},0\rangle \)</EquationSource> </InlineEquation>.</p>

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A Hamiltonian Based Source Theory Approach to Non-relativistic Gravitational Bremsstrahlung

  • 期刊论文

  • 发表日期：

    2026年7月27日

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  • A. Jahan

摘要

Based on the Hamiltonian approach to the source theory, the scattering cross-section of gravitational bremsstrahlung of a charged particle scattering off the Coulomb potential is provided. It is shown that the cross section can be obtained by calculating the imaginary part of the effective action defined in terms of the persistence amplitude of the combined particle-graviton state \(\vert {{\textbf {p}}},0\rangle \) .