As a result of the Hund's coupling, band structure conducting electrons in skyrmion crystal (SkX) shares similar topological properties with that graphene, such as its cone-like shape, nonzero Chern number, edge states, and etc. In this work, we rigorously demonstrate Klein tunneling phenomena is also shared by these two. We use Green's function technique calculated transmission probability thr...

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. We calculate the energies of quarkonium bound states in the presence of a medium of nonzero isospin density using l...

We determine all integers n such that n2 has at most three base-q digits for q ∈ {2, 3, 4, 5, 8, 16}. More generally, we show that all solutions to equations of the shape Y 2 = t + M · q + N · q, where q is an odd prime, n > m > 0 and t2, |M |, N < q, either arise from “obvious” polynomial families or satisfy m ≤ 3. Our arguments rely upon Padé approximants to the binomial function, considered ...

This paper investigates the impact of cooperative spectrum sharing policy on performance hybrid radio frequency and free space optical wireless communication networks, where primary users secondary develop a band same resource. The links obey Nakagami-m distribution with arbitrary fading parameter m, while link follows gamma-gamma distributed atmospheric turbulence nonzero pointing error. Becau...

I present a derivation of the many qualitative changes to basic scattering theory that result when a ~partially! coherent matter beam inelastically interacts with a quantum target. The weak beam limit, where only one object in the beam interacts with the quantum target, is developed. Some of the basic changes to scattering theory are as follows. ~1! The transition probability can increase as th...

In a factorial design with two or more factors, there is nonzero interaction when the differences among the levels of one factor vary with levels of other factors. The interaction is disordinal or qualitative with respect to a specific factor, say A, if the difference between at least two levels of A is positive for some and negative for some levels of the other factors. Using standard methods ...

For a wide variety of cosmological models characterized by the cosmic mass density ΩM and the normalized cosmological constant ΩΛ, we derive an analytic expression for the estimate of magnification cross-sections by an ensemble of isothermal spheres as models of galactic mass distributions. This provides a simple approach to demonstrate how the lensing probability by galaxies depends on the cos...

The interception of a maneuvering antisurface missile, as in ballistic missile defense and ship defense scenarios, is formulated as an imperfect information, zero-sum, pursuit-evasion game with a state constraint imposed on the evader. Assuming that the perfect informationversion of the gamedoes not yield a successful result for the defense, the solution of this game is in mixed strategies. The...

A rich formalization of measure and probability theory is a prerequisite to analyzing probabilistic program behaviour in interactive theorem provers. When using probability theory it is important to have the necessary tools (definitions and theorems) to construct measure spaces with the desired properties. This thesis presents the formalization of a rich set of constructions. We start with disc...

Based on our previous publication [U. Herzog and J. A. Bergou, Phys. Rev. A 71, 050301(R)(2005)] we investigate the optimum measurement for the unambiguous discrimination of two mixed quantum states that occur with given prior probabilities. Unambiguous discrimination of nonorthogonal states is possible in a probabilistic way, at the expense of a nonzero probability of inconclusive results, whe...