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arXiv · 2111.06984

Exact energy-eigenstates of the Coulomb-Stark Hamiltonian

Seyedmohammad Yusofsani·Mroslav Kolesik
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Abstract

An approximation-free, numerically efficient algorithm is presented for the Hamiltonian eigen-states of the Stark-Hydrogen problem describing a quantum particle exposed to the central Coulomb force and a homogeneous external field. As an example of application in a state-expansion with continuous energy, we calculate the time-dependent wavefunction of an electron tunneling from a hydrogen atom suddenly exposed to an external electric field.

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Seyedmohammad Yusofsani, Mroslav Kolesik. 2021-11-12. Exact energy-eigenstates of the Coulomb-Stark Hamiltonian. https://doi.org/10.1103/physreva.105.032203

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