Multidimensional quantum solitons with nondegenerate parametric interactions: Photonic and Bose-Einstein condensate environments

We consider the quantum theory of three fields interacting via parametric and repulsive quartic couplings. This can be applied to treat photonic chi((2)) and chi((3)) interactions, and interactions in atomic Bose-Einstein condensates or quantum Fermi gases, describing coherent molecule formation together with a-wave scattering. The simplest two-particle quantum solitons or bound-state solutions of the idealized Hamiltonian, without a momentum cutoff, are obtained exactly. They have a pointlike structure in two and three dimensions-even though the corresponding classical theory is nonsingular. We show that the solutions can be regularized with a momentum cutoff. The parametric quantum solitons have much more realistic length scales and binding energies than chi((3)) quantum solitons, and the resulting effects could potentially be experimentally tested in highly nonlinear optical parametric media or interacting matter-wave systems. N-particle quantum solitons and the ground state energy are analyzed using a variational approach. Applications to atomic/molecular Bose-Einstein condensates (BEC's) are given, where we predict the possibility of forming coupled BEC solitons in three space dimensions, and analyze superchemistry dynamics

Met verstand-s-kiezen voor het aangezicht

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Pijnloze zwelling bleek een centrale reuscellaesie.

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Canalis mandibulae bifidus en trifidus. Een toevalsbevinding.

Contains fulltext : 83453.pdf (publisher's version ) (Open Access)3 p

[Tooth extraction in cases of dental abscess]

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Placement of an antibiotic oral pack on the hard palate after primary cleft palatoplasty: a randomized controlled trial into the effect on fistula rates

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Conversion and Cosmological Confluence: Nahua-Christian Art of the 16th century

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Prenatal cleft lip and maxillary alveolar defect repair in a 2-step fetal lamb model.

PURPOSE: As there is no satisfying animal model simulating the complex cleft lip and palate anatomy in a standardized defect on one hand, and comprising the possibilities for extensive surgical procedures on the other hand, an improved fetal lamb model for cleft surgery was developed. MATERIALS AND METHODS: Prior to the main study with 16 animals, a pilot study with 4 lambs was conducted. In the pilot study, the unilateral defect was induced at 75 days of gestation. Within 22 days the defect was repaired in 3 lambs; 1 lamb remained unoperated. Disappointing results from the pilot study led to an earlier defect induction (60 to 64 days of gestation) and earlier repair (71 to 84 days) in the main study with 16 lambs. The subsequent delayed repair of the defect was carried out using a Tennison-Randall technique in 10 lambs. In 4 lambs the defect was repaired postnatal, using the same technique. Two lambs had to be excluded from the study. After being euthanized, all animals were investigated macro- and microscopically. RESULTS: According to our criteria, the esthetic results ranged from satisfactory to good. Cutis and mucosa showed a full recovery whereas subcutis and the orbicularis oris muscle showed healing with scar formation. On average the operated lips were 9% shorter and were also thinner than the contralateral control side. CONCLUSIONS: In this study, the results of the closure of a standardized lip and maxillary alveolar defect in several stages of gestation were documented. Early intervention led to better esthetic results, but increased the risk of abortion by 25%. There was no prevention of scarring in subcutaneous and muscle tissue. Because there was no alignment of the orbicularis oris muscle, the goal of a functional perfect result was not achieved