Solution of quantum evolution equations by finite-difference

N. H. Kwong; K. J. Schaudt; J. D. Garcia

doi:10.1016/0010-4655(91)90247-I

Solution of quantum evolution equations by finite-difference

N. H. Kwong, K. J. Schaudt, J. D. Garcia

Optical Sciences

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

6 Scopus citations

Abstract

We report some recent improvements on the rotation-frame cylindrical-coordinate finite-difference scheme for solving quantum evolution equations in atomic collisions. A Hermitian discretization of the Coriolis term in the rotating Hamiltonian is discussed. Illustrative results from calculations of muon capture by helium atoms are also presented. In other collision calculations involving helium, parametrized Hartree-Slater wavefunctions of helium excited states are used as final projection states. The values of the parameters for states up to 1s4f are tabulated here in the hope that they might be useful in other contexts.

Original language	English (US)
Pages (from-to)	171-178
Number of pages	8
Journal	Computer Physics Communications
Volume	63
Issue number	1-3
DOIs	https://doi.org/10.1016/0010-4655(91)90247-I
State	Published - Feb 1991

ASJC Scopus subject areas

Hardware and Architecture
General Physics and Astronomy

Access to Document

10.1016/0010-4655(91)90247-I

Cite this

@article{c1ddb2c07f2e497c89875ffe03c36877,

title = "Solution of quantum evolution equations by finite-difference",

abstract = "We report some recent improvements on the rotation-frame cylindrical-coordinate finite-difference scheme for solving quantum evolution equations in atomic collisions. A Hermitian discretization of the Coriolis term in the rotating Hamiltonian is discussed. Illustrative results from calculations of muon capture by helium atoms are also presented. In other collision calculations involving helium, parametrized Hartree-Slater wavefunctions of helium excited states are used as final projection states. The values of the parameters for states up to 1s4f are tabulated here in the hope that they might be useful in other contexts.",

author = "Kwong, {N. H.} and Schaudt, {K. J.} and Garcia, {J. D.}",

note = "Funding Information: This work is supported in part by grant No. PHY8711139 from the National Science Foundation.",

year = "1991",

month = feb,

doi = "10.1016/0010-4655(91)90247-I",

language = "English (US)",

volume = "63",

pages = "171--178",

journal = "Computer Physics Communications",

issn = "0010-4655",

publisher = "Elsevier B.V.",

number = "1-3",

}

TY - JOUR

T1 - Solution of quantum evolution equations by finite-difference

AU - Kwong, N. H.

AU - Schaudt, K. J.

AU - Garcia, J. D.

N1 - Funding Information: This work is supported in part by grant No. PHY8711139 from the National Science Foundation.

PY - 1991/2

Y1 - 1991/2

N2 - We report some recent improvements on the rotation-frame cylindrical-coordinate finite-difference scheme for solving quantum evolution equations in atomic collisions. A Hermitian discretization of the Coriolis term in the rotating Hamiltonian is discussed. Illustrative results from calculations of muon capture by helium atoms are also presented. In other collision calculations involving helium, parametrized Hartree-Slater wavefunctions of helium excited states are used as final projection states. The values of the parameters for states up to 1s4f are tabulated here in the hope that they might be useful in other contexts.

AB - We report some recent improvements on the rotation-frame cylindrical-coordinate finite-difference scheme for solving quantum evolution equations in atomic collisions. A Hermitian discretization of the Coriolis term in the rotating Hamiltonian is discussed. Illustrative results from calculations of muon capture by helium atoms are also presented. In other collision calculations involving helium, parametrized Hartree-Slater wavefunctions of helium excited states are used as final projection states. The values of the parameters for states up to 1s4f are tabulated here in the hope that they might be useful in other contexts.

UR - http://www.scopus.com/inward/record.url?scp=0026105588&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026105588&partnerID=8YFLogxK

U2 - 10.1016/0010-4655(91)90247-I

DO - 10.1016/0010-4655(91)90247-I

M3 - Article

AN - SCOPUS:0026105588

SN - 0010-4655

VL - 63

SP - 171

EP - 178

JO - Computer Physics Communications

JF - Computer Physics Communications

IS - 1-3

ER -

Solution of quantum evolution equations by finite-difference

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this