Investigation of Free Particle Propagator with Generalized Uncertainty Problem
classification
⚛️ physics.gen-ph
keywords
equationfreegeneralizedordinaryparticleproblempropagatoruncertainty
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We consider the Schrodinger equation with a generalized uncertainty principle for a free particle. We then transform the problem into a second ordinary differential equation and thereby obtain the corresponding propagator. The result of ordinary quantum mechanics is recovered for vanishing minimal length parameter.
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