- ItemRED project report: rights, equity, and diversity in postsecondary campus in Lethbridge 2019-2020(SNAC+, 2021) Bonifacio, Glenda; Das, Saurya; Hodes, Caroline; Cheruiyot, Jacklyne
- ItemTime crystals from minimum time uncertainty(SpringerOpen, 2016) Faizal, Mir; Khalil, Mohammed M.; Das, SauryaMotivated by the Generalized Uncertainty Principle, covariance, and a minimum measurable time, we propose a deformation of the Heisenberg algebra and show that this leads to corrections to all quantum mechanical systems. We also demonstrate that such a deformation implies a discrete spectrum for time. In other words, time behaves like a crystal. As an application of our formalism, we analyze the effect of such a deformation on the rate of spontaneous emission in a hydrogen atom.
- ItemDiscreteness of space from GUP in a weak gravitational field(Elsevier, 2016) Deb, Soumen; Das, Saurya; Vagenas, Elias C.Quantum gravity effects modify the Heisenberg's uncertainty principle to a generalized uncertainty principle (GUP). Earlier work showed that the GUP-induced corrections to the Schrödinger equation, when applied to a non-relativistic particle in a one-dimensional box, led to the quantization of length. Similarly, corrections to the Klein–Gordon and the Dirac equations, gave rise to length, area and volume quantizations. These results suggest a fundamental granular structure of space. In this work, it is investigated how spacetime curvature and gravity might influence this discreteness of space. In particular, by adding a weak gravitational background field to the above three quantum equations, it is shown that quantization of lengths, areas and volumes continue to hold. However, it should be noted that the nature of this new quantization is quite complex and under proper limits, it reduces to cases without gravity. These results suggest that quantum gravity effects are universal.
- ItemElectromagnetic charge-monopole versus gravitational scattering at Planckian energies(American Physical Society, 1994) Das, Saurya; Majumdar, ParthasarathiThe amplitude for the scattering of a point magnetic monopole and a point charge, at center-of- mass energies much larger than the masses of the particles, and in the limit of low momentum transfer, is shown to be proportional to the (integer-valued) monopole strength, assuming the Dirac quantization condition for the monopole-charge system. It is demonstrated that, for small momentum transfer, charge-monopole electromagnetic effects remain comparable to those due to the gravitational interaction between the particles even at Planckian center-of-mass energies.