114,337 research outputs found

    Evaluation of heating effects on atoms trapped in an optical trap

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    We solve a stochastic master equation based on the theory of Savard et al. [T. A. Savard. K. M. O'Hara, and J. E. Thomas, Phys, Rev. A 56, R1095 (1997)] for heating arising from fluctuations in the trapping laser intensity. We compare with recent experiments of Ye et al. [J. Ye, D. W. Vernooy, and H. J. Kimble, Phys. Rev. Lett. 83, 4987 (1999)], and find good agreement with the experimental measurements of the distribution of trap occupancy times. The major cause of trap loss arises from the broadening of the energy distribution of the trapped atom, rather than the mean heating rate, which is a very much smaller effect

    Existence of stable solutions to (Δ)mu=eu(-\Delta)^m u=e^u in RN\mathbb{R}^N with m3m \geq 3 and N>2mN > 2m

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    We consider the polyharmonic equation (Δ)mu=eu(-\Delta)^m u=e^u in RN\mathbb{R}^N with m3m \geq 3 and N>2mN > 2m. We prove the existence of many entire stable solutions. This answer some questions raised by Farina and Ferrero

    Logical and Theoretical Foundations of African Environmental Ethics

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    [English] The paper observed that the various ethics that constitute the system of African environmental ethics are not based on or linked to any known African ontology and formal logic. It argued that the contextualisation of African environmental ethics on African ontology and African logic is essential since Western ontology and logic do not serve to adequately explain and provide proper meanings to the various concepts and propositions employed in the African environmental ethics. Therefore, the paper aimed to, and indeed, link and establishes African environmental ethics on a definite and sound African ontology and formal logic based on Ibuanyidanda complementary ontology and Ezumezu integrativist logic. [Annang] Nwed ndun̄ọ ami akondo ada akud ate k’ idem mme ido ukpeme nkan-n̄kuk ke Africa ada nsan nsan ye ọntọlọgy ye lọgik Africa. Nnwed ami abenne awọ́d ate ke ọntọlọgy ye lọgik mfia agwo iwamma ke adinam awan̄a mme nsio nsio akpọ-ikọ, adaha ikọ, mme usem, ye mme edu ake 'adọhọke ke mme ido ukpeme nkan-n̄kuk ke Africa. Ntak ade anam ukpep mkpọ ami anwana ndiben ido ukpeme nkan-n̄kuk Africa n̄ka n̄ke kọọn̄ ke ọntọlọgy ye lọgik afọnnọ nte itiat ikaba, ade anam anye asan̄a 'ke kem ye Ibuanyidanda Ontology ye Ezumezu Logic
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