107 citations · 609 across the 52 of their papers we have counts for
52 papers
Regularization of Divergent Power Sums via Fractional Extension of Differential Generators
Eric A. Galapon
We reconsider the problem of regularizing the divergent series for , and offer a regularization prescription that yields the Riemann…
Contour Integral Representations of Finite-part Integrals with Logarithmic Singularities
Reynaldo P. Ylanan, Eric A. Galapon
The integral diverges for , where is the order of the first non-vanishing derivative of at the origin. With th…
Dirac delta-convergence of free-motion time-of-arrival eigenfunctions
John Jaykel P. Magadan, Eric A. Galapon
Previous numerical analyses on the Aharonov-Bohm (AB) operator representing the quantum time-of-arrival (TOA) observable for the free particle have indicated that its eigenfunction…
Canonical pairs in finite-dimensional Hilbert space
Ralph Adrian E. Farrales, Eric A. Galapon
A pair of Hermitian operators is canonical if they satisfy the canonical commutation relation. It has been believed that no such canonical pair exists in finite-dimensional Hilbert…
Asymptotic evaluation of the Sinc transform of entire exponential type function resulting to exact polynomial asymptotic behavior
Nathalie Liezel R. Rojas, Eric A. Galapon
We consider the asymptotic evaluation of the integral transform of an exponential type function of type , for large…
Entanglement witnesses with local partial ordering
Joshua Carlo A. Casapao, Eric A. Galapon
We investigate a class of entanglement witnesses where each witness is formulated as a difference of two product observables. These observables are decomposable into positive semid…