English

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

Quantum Physics 2022-10-12 v2

Abstract

In general case of deformed Heisenberg algebra leading to the minimal length, we present a definition of the δ(x)\delta'(x) potential as a linear kernel of potential energy operator in momentum representation. We find exactly the energy level and corresponding eigenfunction for δ(x)\delta'(x) and δ(x)δ(x)\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.

Keywords

Cite

@article{arxiv.2108.11049,
  title  = {Regularization of $\delta'$ potential in general case of deformed space with minimal length},
  author = {M. I. Samar and V. M. Tkachuk},
  journal= {arXiv preprint arXiv:2108.11049},
  year   = {2022}
}