Exact energy eigenstates of the Coulomb-Stark Hamiltonian

S. Yusofsani, M. Kolesik

Research output: Contribution to journalArticlepeer-review


An approximation-free, numerically efficient algorithm is presented for the Hamiltonian eigenstates 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 wave function of an electron tunneling from a hydrogen atom suddenly exposed to an external electric field.

Original languageEnglish (US)
Article number032203
JournalPhysical Review A
Issue number3
StatePublished - Mar 2022

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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