Quantum Entanglement of Dark Matter
Jae-Weon Lee
Department of Renewable Rnergy, Jungwon University, Goesan 13557, Korea
Department of Physics, North Carolina State University, Raleigh, NC 27695, USA
We suggest that dark matter in galactic halos has quantum entanglement, if dark matter is a Bose-Einstein condensation of ultra-light scalar particles (i.e., Fuzzy dark matter). In this model, any two regions of a galaxy are quantum entangled due to the quantum nature of the condensate. We calculate the entanglement entropy SE of a typical galactic halo, which turns out to be at least O(ln(M/m)), where M is the mass of the halo and m is the mass of a dark matter particle. The entanglement can be inferred from the rotation curves of the galaxy.
J. Korean Phy. Soc. 2018; 73: 1596-1602  https://doi.org/10.3938/jkps.73.1596
Theory of Scalar Wave Scattering by a Sphere and a Planar Substrate
Byong Chon Park1, Jin Seung Kim1,2
1Division of Industrial Metrology, Korea Research Institute of Standards and Science, Daejeon 34113, Korea
2Institute of Photonics and Information Technology, Department of Physics, Chonbuk National University, Jeonju 54896, Korea
The problem of scalar wave scattering by a sphere on or near a planar substrate is analytically solved. The solution is a set of wave functions in the form of infinite series of spherical and plane waves. In air, the incident wave is either scattered by the sphere or reflected from the substrate. A part of these scattered or reflected waves propagate to the other object where it is reflected and scattered again. Such processes repeat indefinitely to generate an infinite number of the multiply scattered waves, as represented by the corresponding terms in the infinite series.
J. Korean Phy. Soc. 2018; 73: 1512-1518  https://doi.org/10.3938/jkps.73.1512
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