Preprints

2026

• E.A. Galapon, “Regularization of Divergent Power Sums via Fractional Extension of Differential Generators.” https://arxiv.org/abs/2604.23544

• R.P. Ylanan and E.A. Galapon, “Contour Integral Representations of Finite-part Integrals with Logarithmic Singularities” https://arxiv.org/abs/2602.17224

2025

• J.J.P. Magadan and E.A. Galapon, “Dirac delta-convergence of free-motion time-of-arrival eigenfunctions,” https://arxiv.org/abs/2511.02307

• R.A.E. Farrales and E.A. Galapon, “Canonical pairs in finite-dimensional Hilbert space,” https://arxiv.org/abs/2508.19783

• Nathalie Liezel R. Rojas and Eric A. Galapon, “Asymptotic evaluation of the Sinc transform of entire exponential type function resulting to exact polynomial asymptotic behavior,” https://arxiv.org/abs/2505.03221

2024

• J.C.A Casapao and E.A. Galapon, “Entanglement witnesses with local partial ordering,” https://arxiv.org/abs/2409.17689

• P.C.M. Flores, D.A.L. Pablico and E.A. Galapon, “Instantaneous tunneling time within the theory of time-of-arrival operators,” https://arxiv.org/abs/2409.12389

• N.L.R. Rojas and E.A. Galapon, “Terminating Poincare asymptotic expansion of the Hankel transform of entire exponential type functions,” https://arxiv.org/abs/2409.10948

• R.J.C. Bagunu and E.A. Galapon, “Quantization of the Hamilton Equations of Motion,” https://arxiv.org/abs/2409.03348

• R.A.E. Farrales, E.A. Galapon, “Characteristic time operators as quantum clocks,” https://arxiv.org/abs/2409.03364

• D.A.L Pablico, J.J.P. Magadan, C.A.L. Arguelles, and E.A. Galapon, “The role of conjugacy in the dynamics of time of arrival operators,” https://arxiv.org/abs/2404.16298

• C.D. Tica, P.J. Blancas, and E.A. Galapon, “Exact Evaluation and extrapolation of the divergent expansion for the Heisenberg-Euler Lagrangian II: Non-alternating Case,” https://arxiv.org/abs/2402.14839

• C.D. Tica and E.A. Galapon, “Exact evaluation and extrapolation of the divergent expansion for the Heisenberg-Euler Lagrangian I: Alternating Case,” https://arxiv.org/abs/2310.08199

2023

• C.D. Tica and E.A. Galapon, “Summation and Extrapolation of Divergent Perturbation Series with logarithmic non-pertubative behavior,” https://arxiv.org/abs/2310.08199

• P.J.D. Blancas and E.A. Galapon, “Finite-Part Integration of the Hilbert Transform,” https://arxiv.org/abs/2210.14462

• D.A.L. Pablico and E.A. Galapon, “Moyal deformation of the classical arrival time,” https://arxiv.org/abs/2309.00222

• C.D. Tica and E.A. Galapon, “Continuation of the Stieltjes Series to the Large Regime by Finite-part Integration,” https://arxiv.org/abs/2302.03891

2022

• P.J.D. Blancas and E.A. Galapon, “Finite-part integration of the Hilbert transform,” https://arxiv.org/abs/2210.14462

• P.C.M. Flores and E.A. Galapon, “Instantaneous tunneling of relativistic massive spin-0 particles,” https://arxiv.org/abs/2207.09040

• D.A.L. Pablico and E.A. Galapon, “Quantum corrections to the Weyl quantization of the classical time of arrival,” https://arxiv.org/abs/2205.08694

• E.A. Galapon, “Finite-part integral representation of the Riemann zeta function at odd positive integers and consequent representations,” https://arxiv.org/abs/2203.11342

• P.C.M. Flores and E.A. Galapon, “Relativistic free motion time of arrival operator for massive spin-0 particles with positive energy,” https://arxiv.org/abs/2203.00898

• R.A.E. Faralles, H.B. Domingo and E.A. Galapon, “Conjugates to One Particle Hamiltonians in 1-Dimension in Differential Form,” https://arxiv.org/abs/2201.05777

2021

• E.A. Galapon, “Regularized Limit, analytic continuation and finite-part integration,” https://arxiv.org/abs/2108.02013

2020

• L. Villanueva and E.A. Galapon, “Finite-part integration in the presence of competing singularities: Transformation equations for the hypergeometric functions arising from finite-part integration,” https://arxiv.org/abs/2012.01943

2019

• D.A.L. Pablico and E.A. Galapon, “Quantum traversal time across a potential well,” https://arxiv.org/abs/1908.03400

2018

• P.C. M. Flores and E. A. Galapon, “Quantum free fall motion and quantum violation of weak equivalence principle,”  https://arxiv.org/abs/1808.02646

• J.P. A. Besagas, J.C. L. Lima and E. A. Galapon, “Exact decoherence and orthogonal pointer states brought by one degree of freedom: von Nuemann equation approach and example,” https://arxiv.org/abs/1808.02645

• C. D. Tica, “Finite-part integration of the generalized Stieltjes transform and its dominant asymptotic behavior for small values of the parameter. II. Non-integer orders,” https://arxiv.org/abs/1805.01734

• E. A. Galapon and J.J. P. Magadan, “Quantizations of the classical time of arrival and their dynamics,” https://arxiv.org/abs/1804.03344

2017

• E. A. Galapon, “Integration by divergent integrals: Calculus of divergent integrals in term by term integration, ” https://arxiv.org/abs/1709.08173

• C. D. Tica and E. A. Galapon, “Finite-part integration of the generalized Stieltjes transform and its dominant asymptotic behavior for small values of the parameter. I. Integer orders,” https://arxiv.org/abs/1703.07979