1,801 research outputs found

    On Quantum Integrable Systems

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    Many quantum integrable systems are obtained using an accelerator physics technique known as Ermakov (or normalized variables) transformation. This technique was used to create classical nonlinear integrable lattices for accelerators and nonlinear integrable plasma traps. Now, all classical results are carried over to a nonrelativistic quantum case

    Nonlinear Integrable Ion Traps

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    Quadrupole ion traps can be transformed into nonlinear traps with integrable motion by adding special electrostatic potentials. This can be done with both stationary potentials (electrostatic plus a uniform magnetic field) and with time-dependent electric potentials. These potentials are chosen such that the single particle Hamilton-Jacobi equations of motion are separable in some coordinate systems. The electrostatic potentials have several free adjustable parameters allowing for a quadrupole trap to be transformed into, for example, a double-well or a toroidal-well system. The particle motion remains regular, non-chaotic, integrable in quadratures, and stable for a wide range of parameters. We present two examples of how to realize such a system in case of a time-independent (the Penning trap) as well as a time-dependent (the Paul trap) configuration

    Ring for test of nonlinear integrable optics

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    Nonlinear optics is a promising idea potentially opening the path towards achieving super high beam intensities in circular accelerators. Creation of a tune spread reaching 50% of the betatron tune would provide strong Landau damping and make the beam immune to instabilities. Recent theoretical work has identified a possible way to implement stable nonlinear optics by incorporating nonlinear focusing elements into a specially designed machine lattice. In this report we propose the design of a test accelerator for a proof-of-principle experiment. We discuss possible studies at the machine, requirements on the optics stability and sensitivity to imperfections.Comment: 3 pp. Particle Accelerator, 24th Conference (PAC'11) 28 Mar - 1 Apr 2011: New York, US

    Thyroid Doses and Risk of Thyroid Cancer For Members of Public Exposed to I-131

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    The purpose of this report is to estimate radiation doses to the thyroid gland and risk of thyroid cancer incidence for individuals exposed to I-131 in fallout from nuclear weapons tested at the Nevada Test Site (NTS) and in releases from different nuclear facilities operated in the United States. Estimates are produced for individuals living around Oak Ridge, Tennessee, who were exposed both to I-131 from NTS fallout and to I-131 released from the X-10 nuclear facility; for individuals living around Hanford, Washington, who were exposed both to I-131 from NTS fallout and to I-131 released from the Hanford facility; and for individuals living in other regions of the country where they were exposed only to I-131 from NTS fallout. Individuals in the latter group lived mostly in areas of Utah, Montana, and Idaho, where deposition of I-131 is known to have been larger than average deposition across the U.S. This research was completed money allocated during Round 2 of the Citizens’ Monitoring and Technical Assessment Fund (MTA Fund). Clark University was named conservator of these works. If you have any questions or concerns please contact us at [email protected]://commons.clarku.edu/radiochem/1001/thumbnail.jp
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