International Association of Mathematical Physics Bulletin October 2024
Bulletin-Oct2024-print
Category Archives: Uncategorized
D.A.L Pablico and E.A. Galapon, “Moyal deformation of the classical arrival time,” J. Math. Phys. 65, 102104 (2024)
The quantum time of arrival (TOA) problem requires the statistics of 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 »
A new generation of mathematical physicists is needed
According to a commentary in Physics Today, a new generation of mathematical physicists is needed to “simplify the statistical physics of complex biological systems by recasting it as the exploration of measurable physical parameters in low-dimensional spaces. … Their solutions will require designing new asymptotic approximation methods and numerical simulations of the inherently stochastic particle… Read More »
J.C.A. Casapao and E.A. Galapon, “Entanglement witnesses with local partial ordering,” arXiv:2409.17689
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 semidefinite local operators that obey a partial ordering rule defined over all their possible expectation values. We provide a framework to construct these entanglement witnesses along with some examples. We… Read More »
R.A.E. Farrales and E.A. Galapon, “Characteristic time operators as quantum clocks,” arXiv:2409.03364
We consider the characteristic time operator T introduced in [E. A. Galapon, Proc. R. Soc. Lond. A, 458:2671 (2002)] which is bounded and self-adjoint. For a semibounded discrete Hamiltonian H with some growth condition, T satisfies the canonical relation [T,H]|ψ⟩=iℏ|ψ⟩ for |ψ⟩ in a dense subspace of the Hilbert space. While T is not covariant,… Read More »
Most downloaded: “Internal one degree of freedom is sufficient to induce exact decoherence”
P.C.M. Flores, R.C.F. Caballar, E.A. Galapon, “Synchronizing quantum and classical clocks made of quantum particles”, Physical Review A 94, 032123 (2016)
We demonstrate that the quantum corrections to the classical arrival time for a quantum object in a potential free region of space, as computed in Phys. Rev. A 80, 030102(R) (2009), can be eliminated up to a given order of ℏ by choosing an appropriate position-dependent phase for the object’s wave function. This then implies… Read More »
Congratulations to Dr. Joseph Bunao for being NIP’s and CS’s most outstanding PhD graduate for 2016
Dr. Joseph Bunao is this year’s most outstanding PhD graduate of the National Institute of Physics and the College of Science of the University of the Philippines at Diliman for his excellent academic performance (1.016/1 average grade in graduate school) and outstanding research work (the lead author of three ISI-journal papers). Check out his papers:… Read More »
M.M. Flores and E.A. Galapon, “Mixtures of maximally entangled pure states” Annals of Physics 372 (2016) 297-308.
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 »
Can a message be delivered earlier than light?
How long does it take for a message to be delivered? Everyday experience tells us that in order for a message to arrive quicker, we just need a faster messenger. Considering special relativity and quantum mechanics, however, introduces further complications. If we consider the message to be carried by particles, special relativity imposes a minimum… Read More »