One-dimensional classical dynamics with maximal length uncertainty

Authors

  • Mar Anderson F. Princer ⋅ PH National Institute of Physics, University of the Philippines Diliman
  • Jose Perico H. Esguerra ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We calculated equations of motion describing a classical dynamics with Lawson's maximal length uncertainty formalism. We obtained an exact analytical solution for the free particle case and derived differential equations for position X and momentum P with respect to time t that are easily solvable by numerical integration for any potential V. Using the 4th order Runge-Kutta method, the time evolution of a particle's position and momentum subjected to linear potential, harmonic oscillator potential, and sinusoidal potential are plotted. Finally, we have determined that the phase space trajectory of a particle with maximal length uncertainty subjected to any potential is invariant of the existence of maximal length uncertainty.

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Issue

Article ID

SPP-2023-PC-09

Section

Poster Session C (Mathematical Physics, Optics, and Interdisciplinary Topics)

Published

2023-07-06

How to Cite

[1]
MAF Princer and JPH Esguerra, One-dimensional classical dynamics with maximal length uncertainty, Proceedings of the Samahang Pisika ng Pilipinas 41, SPP-2023-PC-09 (2023). URL: https://proceedings.spp-online.org/article/view/SPP-2023-PC-09.