Year 2024

• Bell-Type Inequalities from the Perspective of Non-Newtonian Calculus

  Publication

  • M. P. Piłat

  - Foundations of Science - Year 2024

  A class of quantum probabilities is reformulated in terms of non-Newtonian calculus and projective arithmetic. The model generalizes spin-1/2 singlet state probabilities discussed in Czachor (Acta Physica Polonica:139 70–83, 2021) to arbitrary spins s. For s → ∞ the formalism reduces to ordinary arithmetic and calculus. Accordingly, the limit “non-Newtonian to Newtonian” becomes analogous to the classical limit of a quantum theory

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• Calculation of electron scattering lengths on Ar, Kr, Xe, Rn and Og atoms

  Publication

  • P. Syty
  • M. P. Piłat (formerly: M. Piłat)
  • J. E. Sienkiewicz (formerly: J. Sienkiewicz)

  - JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS - Year 2024

  Focusing on the noble gases, we calculate the scattering potential using the Dirac-Coulomb Hamiltonian supplemented with a model polarization potential. We determine the scattering lengths using two methods, namely phase shifts for very small scattering energies and the shape of the wave function for zero scattering energy. We compare our theoretical electron scattering length results on Ar, Kr and Xe atoms with existing experimental...

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