Multicenter MICZ-Kepler systems
نویسندگان
چکیده
منابع مشابه
MICZ-Kepler problems in all dimensions
The Kepler problem is a physical problem about two bodies which attract each other by a force proportional to the inverse square of the distance. The MICZ-Kepler problems are its natural cousins and have been previously generalized from dimension three to dimension five. In this paper, we construct and analyze the (quantum) MICZ-Kepler problems in all dimensions higher than two.
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For each integer n ≥ 2, we demonstrate that a 2n-dimensional generalized MICZ-Kepler problem with magmatic charge μ = 0 or 1/2 has an Spin(2, 2n+ 1) dynamical symmetry which extends the manifest Spin(2n) symmetry. The Hilbert space of bound states is shown to form a unitary highest weight Spin(2, 2n+1)-module which occurs at the first reduction point in the Enright-Howe-Wallach classification d...
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The Kepler problem is perhaps the most well-known physics problem in the last three centuries. The MICZ-Kepler problems are its natural cousins. While the Kepler problem exists obviously in high dimensions, only the 5-dimensional analogues of the MICZ-Kepler problems were discovered previously. In this paper, we demonstrate that the quantum MICZ-Kepler problems do exist in all dimensions greate...
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Data intensive scientific workflows are often modelled using a dataflow-oriented model. The simplicity of a dataflow model facilitates intuitive workflow design, analysis and optimisation. However, some amount of control flow modelling is often necessary for engineering fault tolerant, robust and adaptive workflows. In scientific domain, myriads of environment information are needed for control...
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We discuss the generalizations of the MICZ-Kepler system (the system describing the motion of the charged particle in the field of Dirac dyon), to the curved spaces, arbitrary potentials and to the multi-dyon background. The integrable system describing the motion of the charged particle in the field of Dirac dyon (magnetic monopole carrying the electric charge) has been suggested independently...
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ژورنال
عنوان ژورنال: Theoretical and Mathematical Physics
سال: 2008
ISSN: 0040-5779,1573-9333
DOI: 10.1007/s11232-008-0051-6