科研之友
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摘要
It is shown that the space of spherical harmonics Y(l)(m) (theta, phi) whose 2l - m = p - 1 is given, represent irreducibly a cubic deformation of su(2) algebra, the so-called su(Phi p) (2), with deformation function as Phi(p)(x) = (27)(2)x(2) + 3(7 - 3p(2))x. The irreducible representation spaces are classified in three different bunches, depending on one of values 3k - 2, 3k - 1 and 3k, with k as a positive integer, to be chosen for p. So, three different methods for generating the spectrum of spherical harmonics are presented by using the cubic deformation of su(2). Moreover, it is shown that p plays the role of deformation parameter.
- 出版日期2009-10-20
