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<p>In order to gain deeper understanding of integrability aspects of different physical systems, here we investigate the exact time-dependent quadratic invariants for various one-dimensional classical dynamical systems invoking the Struckmeier and Riedel (SR) approach in real space. We explore seven physical systems viz the Generalized Cornell potential, Inversely quadratic Hellmann potential, Yukawa potential, Sextic potential, Gaussian potential and Krazer potential. The finding of such invariants holds significance, particularly in the context of numerical simulations of time-dependent Hamiltonian systems.</p>

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Classical invariants for some time-dependent anharmonic potentials using Struckmeier and Riedel approach

  • 期刊论文

  • 发表日期：

    2025年1月10日

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  • Vipin Kumar,
  • Ram Mehar Singh,
  • Shalini Gupta,
  • S. B. Bhardwaj,
  • Fakir Chand

摘要

In order to gain deeper understanding of integrability aspects of different physical systems, here we investigate the exact time-dependent quadratic invariants for various one-dimensional classical dynamical systems invoking the Struckmeier and Riedel (SR) approach in real space. We explore seven physical systems viz the Generalized Cornell potential, Inversely quadratic Hellmann potential, Yukawa potential, Sextic potential, Gaussian potential and Krazer potential. The finding of such invariants holds significance, particularly in the context of numerical simulations of time-dependent Hamiltonian systems.