### 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 | |

State | Published - 1991 |

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### ASJC Scopus subject areas

- Computer Science Applications
- Physics and Astronomy(all)

### Cite this

*Computer Physics Communications*,

*63*(1-3), 171-178. https://doi.org/10.1016/0010-4655(91)90247-I

**Solution of quantum evolution equations by finite-difference.** / Kwong, Nai-Hang; Schaudt, K. J.; Garcia, J. D.

Research output: Contribution to journal › Article

*Computer Physics Communications*, vol. 63, no. 1-3, pp. 171-178. https://doi.org/10.1016/0010-4655(91)90247-I

}

TY - JOUR

T1 - Solution of quantum evolution equations by finite-difference

AU - Kwong, Nai-Hang

AU - Schaudt, K. J.

AU - Garcia, J. D.

PY - 1991

Y1 - 1991

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

VL - 63

SP - 171

EP - 178

JO - Computer Physics Communications

JF - Computer Physics Communications

SN - 0010-4655

IS - 1-3

ER -