On the boundary conditions in deformed quantum mechanics with minimal length uncertainty

Abstract

We find the coordinate space wave functions, maximal localization states, and quasiposition wave functions in a GUP framework that implies a minimal length uncertainty using a formally self-adjoint representation. We show that how the boundary conditions in quasiposition space can be exactly determined from the boundary conditions in coordinate space.

9 pages, to appear in Advances in High Energy Physics

References in corpus (2)

• Probing Planck-scale physics with quantum optics
• Natural extension of the Generalised Uncertainty Principle

Cited by in corpus (6)

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