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arXiv · 2108.11049

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

M. I. Samar·V. M. Tkachuk
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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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M. I. Samar, V. M. Tkachuk. 2021-08-25. Regularization of $\delta'$ potential in general case of deformed space with minimal length. https://doi.org/10.1088/1751-8121%2Fac90fe

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