Noncommutative Coulombic Monopole
Stefano Bellucci, Armen Yeranyan
TL;DR
This paper develops a Hamiltonian for the noncommutative Coulombic monopole, calculates its energy levels, compares them with the noncommutative hydrogen atom, and studies the Stark effect, focusing on the ground state.
Contribution
It introduces a Hamiltonian for the noncommutative Coulombic monopole and analyzes its spectral properties and Stark effect, extending noncommutative quantum models.
Findings
Energy levels differ from noncommutative hydrogen atom
Ground state properties are significantly affected
Stark effect exhibits unique features in the noncommutative monopole
Abstract
We have constructed the appropriate Hamiltonian of the noncommutative coulombic monopole (i.e. the noncommutative hydrogen atom with a monopole). The energy levels of this system have been calculated, discussed and compared with the noncommutative hydrogen atom ones. The main emphasis is put on the ground state. In addition, the Stark effect for the noncommutative coulombic monopole has been studied.
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