Related papers: Regularization of $\delta'$ potential in general case of deformed space with minimal length

Regularization of $\delta'$ potential in general case of deformed space with minimal length

URL: http://arxiv.org/abs/2108.11049v2
Date: Thu, 26 Aug 2021 08:37:37 GMT
Title: Regularization of $\delta'$ potential in general case of deformed space with minimal length
Authors: M. I. Samar and V. M. Tkachuk
Abstract summary: We find exactly the energy level and corresponding eigenfunction for $delta'(x)$ and $delta(x)-delta'(x)$ potentials in deformed space with arbitrary function of deformation.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: In general case of deformed Heisenberg algebra leading to the minimal length, we present a definition of the $\delta'(x)$ potential as a linear kernel of potential energy operator in momentum representation. We find exactly the energy level and corresponding eigenfunction for $\delta'(x)$ and $\delta(x)-\delta'(x)$ potentials in deformed space with arbitrary function of deformation. The energy spectrum for different partial cases of deformation function is analysed.

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