I'll appreciate references about quantum mechanics of the rolling ball.
what you mean is not clear to me. could you be a bit more precise? What is a "ball"?
Imagine a billiard ball of very small mass rolling without slipping or twisting over a plane or over some other surface. In classical case such problems involve quite a fascinating geometry. See, for example,
http://arxiv.org/abs/math/0611812 ( A. Agrachev, Rolling balls and Octonions)
To be even more precise, I'm interesting in articles like this
R. J. Eden, The Quantum Mechanics of Non-Holonomic Systems, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 205, No. 1083 (Mar. 7, 1951), pp. 583-595,
which I just found.
Separate names with a comma.