Inversion time of large spins

Abstract

In order to find an accurate expression for the inversion probability of a large spin, an asymptotic expansion in series of Bessel functions is found, and a formula for the inversion time is obtained.

Integral representation for Neumann series of Bessel functions

“…The inversion probability of a large spin is found via modified Neumann series of Bessel functions J (2N +1)(2n−1)±1 for integer N ≥ 2; see, [5,Theorem].…”