Relativistic Oscillators in Generalized Snyder Model
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We present an exact solution of one-dimensional Klein–Gordon and Dirac oscillators subjected to the uniform electric field with Snyder–de Sitter model in the momentum space, known in quantum mechanics by the stark effect. The energy eigenvalues and eigenfunctions are determined for both cases. The pure relativistic oscillator is obtained as particular case by taking the limit when the electric field vanishes. We also have determined some formulas of thermodynamics properties for relativistic oscillators within this framework.
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