Exact solution of the one-dimensional Klein–Gordon equation with scalar and vector linear potentials in the presence of a minimal length

Using the momentum space representation, we solve the Klein--Gordon equation in one spatial dimension for the case of mixed scalar and vector linear potentials in the context of deformed quantum mechanics characterized by a finite minimal uncertainty in position. The expressions of bound state energ...

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Published in:Chinese physics B 2010-02, Vol.19 (2), p.020305-020305
Main Authors: Chargui, Y, Chetouani, L, Trabelsi, A
Format: Article
Language:English
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Exact solutions
Mathematical analysis
Quantum mechanics
Representations
Scalars
Uncertainty
Vectors (mathematics)
Wave functions
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description Using the momentum space representation, we solve the Klein--Gordon equation in one spatial dimension for the case of mixed scalar and vector linear potentials in the context of deformed quantum mechanics characterized by a finite minimal uncertainty in position. The expressions of bound state energies and the associated wave functions are exactly obtained.
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subjects Exact solutions
Mathematical analysis
Quantum mechanics
Representations
Scalars
Uncertainty
Vectors (mathematics)
Wave functions
title Exact solution of the one-dimensional Klein–Gordon equation with scalar and vector linear potentials in the presence of a minimal length
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