Exact energy eigenstates of the Coulomb-Stark Hamiltonian

S. Yusofsani; M. Kolesik

doi:10.1103/PhysRevA.105.032203

Exact energy eigenstates of the Coulomb-Stark Hamiltonian

S. Yusofsani, M. Kolesik

Optical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English (US)
Article number	032203
Journal	Physical Review A
Volume	105
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.105.032203
State	Published - Mar 2022

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.105.032203

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abstract = "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.",

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Exact energy eigenstates of the Coulomb-Stark Hamiltonian

Abstract

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