7 citations · 8 across the 3 of their papers we have counts for
3 papers
quant-ph2021★ 1 cited
Fully Symmetric Relativistic Quantum Mechanics and Its Physical Implications
Bao D. Tran, Zdzislaw E. Musielak
A new formulation of relativistic quantum mechanics is presented and applied to a free, massive, and spin zero elementary particle in the Minkowski spacetime. The reformulation req…
math-ph2020★ 7 cited
Gauge Functions in Classical Mechanics: From Undriven to Driven Dynamical Systems
Z. E. Musielak, L. C. Vestal, B. D. Tran +1
Novel gauge functions are introduced to non-relativistic classical mechanics and used to define forces. The obtained results show that the gauge functions directly affect the energ…
math.OC2020
Optimal Path Homotopy For Univariate Polynomials
Bao Duy Tran
The goal of this paper is to study the path-following method for univariate polynomials. We propose to study the complexity and condition properties when the Newton method is appli…