98-38 Jens Marklof
Theta sums, Eisenstein series, and the semiclassical dynamics of a precessing spin (2958K, postscript) Jan 27, 98
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. Recent results on the asymptotic behaviour of theta sums are illustrated with physical examples, such as the semiclassical time evolution of a quantum spin, which has been previously discussed by Berry and Goldberg. The second goal is to give a detailed account of the equidistribution of closed horocycles on the metaplectic cover of the special linear group SL(2,R) modulo a certain arithmetic subgroup, which in turn can be used to calculate the limit distribution of the values of theta sums.

Files: 98-38.ps