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

Access to Document

10.1103/PhysRevA.105.032203

Cite this

@article{5aa6b77634f14940bac6c2f6e98f9389,

title = "Exact energy eigenstates of the Coulomb-Stark Hamiltonian",

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.",

author = "S. Yusofsani and M. Kolesik",

note = "Publisher Copyright: {\textcopyright} 2022 American Physical Society.",

year = "2022",

month = mar,

doi = "10.1103/PhysRevA.105.032203",

language = "English (US)",

volume = "105",

journal = "Physical Review A",

issn = "2469-9926",

publisher = "American Physical Society",

number = "3",

}

TY - JOUR

T1 - Exact energy eigenstates of the Coulomb-Stark Hamiltonian

AU - Yusofsani, S.

AU - Kolesik, M.

PY - 2022/3

Y1 - 2022/3

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85126449279

UR - https://www.scopus.com/pages/publications/85126449279#tab=citedBy

U2 - 10.1103/PhysRevA.105.032203

DO - 10.1103/PhysRevA.105.032203

M3 - Article

AN - SCOPUS:85126449279

SN - 2469-9926

VL - 105

JO - Physical Review A

JF - Physical Review A

IS - 3

M1 - 032203

ER -

Exact energy eigenstates of the Coulomb-Stark Hamiltonian

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this