119 citations
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14 papers · 1 filter
Scattering Length Scaling Laws for Ultracold Three-Body Collisions
J. P. D'Incao, B. D. Esry
We present a simple picture that provides the energy and scattering length dependence for all inelastic three-body collision rates in the ultracold regime for three-body systems wi…
Transverse excitations of ultracold matter waves upon propagation past abrupt waveguide changes
M. Koehler, M. W. J. Bromley, B. D. Esry
The propagation of ultracold atomic gases through abruptly changing waveguide potentials is examined in the limit of non-interacting atoms. Time-independent scattering calculations…
Embedding operators and boundary-value problems for rough domains
V. G. Goldshtein, A. G. Ramm
In the first part of the paper boundary-value problems are considered under weak assumptions on the smoothness of the domains. We assume nothing about smoothness of the boundary $\…
The Hele-Shaw problem as a "Mesa" limit of Stefan problems: Existence, uniqueness, and regularity of the free boundary
I. A. Blank, M. K. Korten, C. N. Moore
We study a Hele-Shaw problem with a mushy region obtained as a Mesa type limit of one phase Stefan problems in exterior domains. We study the convergence, determine some of the qua…
Resonant modes in triangular dielectric cavities
G. M. Wysin
The resonant optical modes of a high permittivity dielectric prism with an equilateral triangular cross section are discussed. Eigenmode solutions of the scalar Helmholtz equation…
A generalization of trigonometric convexity and its relation to positive harmonic functions in homogeneous domains
V. Azarin, D. Drasin, P. Poggi-Corradini
We consider functions which are subfunctions with respect to the differential operator $$L_ρ= \frac{\partial^2}{\partial x^2} + \frac{\partial^2}{\partial y^2} + 2ρ\frac{\partial}{…