Category Archives: Publications

P.C.M. Flores, D.A.L. Pablico and E.A. Galapon, “Partial and full tunneling processes across potential barriers,” EPL (2024)

By | March 9, 2024
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We introduce the concept of partial-tunneling and full-tunneling processes to explain the seemingly contradictory non-zero and vanishing tunneling times often reported in the literature. Our analysis starts by considering the traversal time of a quantum particle through a potential barrier, including both above and below-barrier traversals, using the theory of time-of-arrival operators. We then show… Read More »

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

By | November 1, 2023
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The quantum time of arrival (TOA) problem requires statistics of the measured arrival times given only the initial state of a particle. Following the standard framework of quantum theory, the problem translates into finding an appropriate quantum image of the classical arrival time , usually in operator form . In this paper, we consider the… Read More »

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. II. Non-integer orders”, Journal of Mathematical Physics 60, 013502 (2019).

By | January 3, 2019
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Get your copy here from the publisher. Compare with the original version of the paper, especially Section 3. Tica-Galapon Journal of Mathematical Physics 60, 013502 (2019) (accepted version)

Galapon EA. 2017 The problem of missing terms in term by term integration involving divergent integrals. Proc. R. Soc. A 473: 20160567.

By | January 20, 2017
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The operations of integration and summation cannot be interchanged arbitrarily. Some uniformity conditions must be satisfied in order for the interchange to be performed. If the conditions are not satisfied and the interchange is nevertheless carried out, some outrageous things happen. For example, the interchange may lead to an infinite series of divergent integrals; that… Read More »

M.M. Flores and E.A. Galapon, “Mixtures of maximally entangled pure states” Annals of Physics 372 (2016) 297-308.

By | June 20, 2016
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Abstract We study the conditions when mixtures of maximally entangled pure states remain entangled. We found that the resulting mixed state remains entangled when the number of entangled pure states to be mixed is less than or equal to the dimension of the pure states. For the latter case of mixing a number of pure… Read More »

Internal one degree of freedom is sufficient to induce decoherence (E. A. Galapon 2016 EPL 113 60007)

By | April 15, 2016
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Abstract Current quantum orthodoxy claims that the statistical collapse of the wave-function arises from the interaction of the measuring instrument with its environment through the phenomenon known as environment-induced decoherence. Here it is shown that there exists a measurement scheme that is exactly decohering without the aid of an environment. The scheme relies on the… Read More »

The Cauchy principal value and the Hadamard finite part integral as values of absolutely convergent integrals (E.A. Galapon, J. Math. Phys. 57, 033502 (2016))

By | March 31, 2016
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Abstract The divergent integral , for and , is assigned, under certain conditions, the value equal to the simple average of the contour integrals , where () is a path that starts from and ends at , and which passes above (below) the pole at . It is shown that this value, which we refer… Read More »