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The Linear Potential Propagator via Wave Function Expansion
(2002-09) NASSAR, Antônio Boulhosa; BASSALO, José Maria Filardo; ALENCAR, Paulo de Tarso Santos; LOPES, José Luiz Magalhães; OLIVEIRA, José I. F. de; CATTANI, Mauro Sérgio Dorsa
We evaluate the quantum propagator for the motion of a particle in a linear potential via a recently developped formalism [A.B. Nassar et al., Phys. Rev. E56, 1230, (1997)]. In this formalism, the propagator comes about as a type of expansion of the wave function over the space of the initial velocities.