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For a relativistic particle under a constant force and a linear velocitydissipation force, a constant of motion is found. Problems are shown forgetting the Hamiltoninan of this system. Thus, the quantization of this systemis carried out through the constant of motion and using the quantization of thevelocity variable. The dissipative relativistic quantum bouncer is outlinedwithin this quantization approach.Comment: 11 pages, no figure

One-Dimensional Relativistic Dissipative System with Constant Force and its Quantization