Model of a relativistic oscillator in a generalized Schrödinger picture

Details Model of a relativistic oscillator in a generalized Schrödinger picture Model of a relativistic oscillator in a generalized Schrödinger picture

2010-04-14

arxiv.org/abs/1004.2433v3

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, modified version. Physical discussion extended, misprints corrected

Scientific paper

We consider the motion of a relativistic particle in an external field like the harmonic oscillator potential in the picture in which the analogue of Schr\"odinger operators of the particle are independent of both the time and the space coordinates. The spacetime independent operators in the equations of states induce operators which are related to Killing vectors of the AdS space. We also consider the nonrelativistic limit.

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