The U(1)-kepler Problems
نویسنده
چکیده
Let n ≥ 2 be a positive integer. To each irreducible representation σ of U(1), a U(1)-Kepler problem in dimension (2n − 1) is constructed and analyzed. This system is super integrable and when n = 2 it is equivalent to a MICZ-Kepler problem. The dynamical symmetry group of this system is e U(n, n), and the Hilbert space of bound states H (σ) is the unitary highest weight representation of e U(n, n) with highest weight (−1/2, · · · ,−1/2 | {z } n , 1/2 + σ̄, 1/2, · · · , 1/2 | {z }
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تاریخ انتشار 2008