Eucliden group E(2) and the quantum rotator in three dimensions.

Hamideh Rahmati

Dr

The paper considers the nonrelativistic Schrodinger equation of a projectile under the influence of gravity. The strategy of Hamilton-Jacobi method permits the solutions take the well known form of classical mechanics. The main propose of the paper is to change the problem in terms of algebraic operators of so (2, 1) algebra which is related to Euclidean algebra se (2) in classical problem.