7 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 Riema…
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…
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 larg…
Instantaneous tunneling time within the theory of time-of-arrival operators
Philip Caesar Flores, Dean Alvin Pablico, Eric Galapon
It has been shown in Phys. Rev. Lett., 108 170402 (2012) (https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.108.170402), that quantum tunneling is instantaneous using a tim…