Closed-form solutions of the schrödinger equation for a model one-dimensional hydrogen atom

Wei Chih Liu; Charles W. Clark

doi:10.1088/0953-4075/25/21/001

Closed-form solutions of the schrödinger equation for a model one-dimensional hydrogen atom

Wei Chih Liu
, Charles W. Clark

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

23 Citations (Scopus)

Abstract

We have found an infinite number of closed-form solutions to the Schrodinger equation for a well known model atom by treating its short-range cut-off parameter as an eigenvalue.

Original language	English
Pages (from-to)	L517-L524
Journal	Journal of Physics B: Atomic, Molecular and Optical Physics
Volume	25
Issue number	21
DOIs	https://doi.org/10.1088/0953-4075/25/21/001
Publication status	Published - 1992 Nov 14
Externally published	Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Condensed Matter Physics

Access to Document

10.1088/0953-4075/25/21/001

Cite this

@article{349e04f5c43943cfbcf051c7a544a0b4,

title = "Closed-form solutions of the schr{\"o}dinger equation for a model one-dimensional hydrogen atom",

abstract = "We have found an infinite number of closed-form solutions to the Schrodinger equation for a well known model atom by treating its short-range cut-off parameter as an eigenvalue.",

author = "Liu, \{Wei Chih\} and Clark, \{Charles W.\}",

year = "1992",

month = nov,

day = "14",

doi = "10.1088/0953-4075/25/21/001",

language = "English",

volume = "25",

pages = "L517--L524",

journal = "Journal of Physics B: Atomic, Molecular and Optical Physics",

issn = "0953-4075",

publisher = "IOP Publishing Ltd.",

number = "21",

}

TY - JOUR

T1 - Closed-form solutions of the schrödinger equation for a model one-dimensional hydrogen atom

AU - Liu, Wei Chih

AU - Clark, Charles W.

PY - 1992/11/14

Y1 - 1992/11/14

N2 - We have found an infinite number of closed-form solutions to the Schrodinger equation for a well known model atom by treating its short-range cut-off parameter as an eigenvalue.

AB - We have found an infinite number of closed-form solutions to the Schrodinger equation for a well known model atom by treating its short-range cut-off parameter as an eigenvalue.

UR - https://www.scopus.com/pages/publications/4243855893

UR - https://www.scopus.com/pages/publications/4243855893#tab=citedBy

U2 - 10.1088/0953-4075/25/21/001

DO - 10.1088/0953-4075/25/21/001

M3 - Letter

AN - SCOPUS:4243855893

SN - 0953-4075

VL - 25

SP - L517-L524

JO - Journal of Physics B: Atomic, Molecular and Optical Physics

JF - Journal of Physics B: Atomic, Molecular and Optical Physics

IS - 21

ER -

Closed-form solutions of the schrödinger equation for a model one-dimensional hydrogen atom

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this