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<p>We consider the radiation reaction experienced by a charge undergoing harmonic oscillations, and from a canonical transformation for the canonical moments, we present a new diagonalized Hamiltonian structure in the commutative and noncommutative spacetime. By using the path integral formulation, we obtained the partition function, which leads to the quantization of the system.</p>

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Path Integral Analysis for a Damped Harmonic Oscillator with a Higher Derivative Term in the Damping

  • 期刊论文

  • 发表日期：

    2025年2月5日

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  • Albert C. R. Mendes,
  • Everton M. C. Abreu

摘要

We consider the radiation reaction experienced by a charge undergoing harmonic oscillations, and from a canonical transformation for the canonical moments, we present a new diagonalized Hamiltonian structure in the commutative and noncommutative spacetime. By using the path integral formulation, we obtained the partition function, which leads to the quantization of the system.