Particle motion in a curved cylindrical geometry

Abstract

Particle motion in a geometry determined by Jackiw-Teitelboim gravity is studied by using the covariant phase-space quantization method. The motion of the particle is completely determined by two parameters, the scale transformation parameter and the generator of the transformation, which form the coset space SL(2,R)SO(2). The symplectic structure of the particle motion is also determined by these two parameters. © 1993 The American Physical Society.