# Confluent Heun functions and the Coulomb problem for spin 1/2 particle in Minkowski space

@article{Balan2014ConfluentHF, title={Confluent Heun functions and the Coulomb problem for spin 1/2 particle in Minkowski space}, author={Vladimir Balan and Arkadi Manukyan and Elena M. Ovsiyuk and Viktor M. Red'kov and O. V. Veko}, journal={arXiv: Mathematical Physics}, year={2014} }

In the paper, the well-known quantum mechanical problem of a spin 1/2 particle in external Coulomb potential, reduced to a system of two first-order differential equations, is studied from the point of view of possible applications of the Heun function theory to treat this system. It is shown that in addition to the standard way to solve the problem in terms of the confluent hypergeometric functions (proposed in 1928 by G. Darvin and W. Gordon), there are possible several other possibilities… CONTINUE READING

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## Semicommuting and Commuting Operators for the Heun Family

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