### Abstract

Original language | English |
---|---|

Pages (from-to) | 32709-32713 |

Number of pages | 5 |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

Volume | 71 |

Issue number | 3 |

Publication status | Published - 2005 |

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*Physical Review A - Atomic, Molecular, and Optical Physics*,

*71*(3), 32709-32713.

}

*Physical Review A - Atomic, Molecular, and Optical Physics*, vol. 71, no. 3, pp. 32709-32713.

**Higher-order C n dispersion coefficients for hydrogen.** / Mitroy, James; Bromley, Michael.

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

TY - JOUR

T1 - Higher-order C n dispersion coefficients for hydrogen

AU - Mitroy, James

AU - Bromley, Michael

PY - 2005

Y1 - 2005

N2 - The complete set of second-, third-, and fourth-order van der Waals coefficients C n up to n=32 for the H(1s)-H(1s) dimer have been determined. They are computed by diagonalizing the nonrelativistic Hamiltonian for hydrogen to obtain a set of pseudostates that are used to evaluate the appropriate sum rules. A study of the convergence pattern for n?16 indicates that all the C n?16 coefficients are accurate to 13 significant digits. The relative size of the fourth-order C n (4) to the second-order C n (2) coefficients is seen to increase as n increases and at n=32 the fourth-order term is actually larger. �2005 The American Physical Society.

AB - The complete set of second-, third-, and fourth-order van der Waals coefficients C n up to n=32 for the H(1s)-H(1s) dimer have been determined. They are computed by diagonalizing the nonrelativistic Hamiltonian for hydrogen to obtain a set of pseudostates that are used to evaluate the appropriate sum rules. A study of the convergence pattern for n?16 indicates that all the C n?16 coefficients are accurate to 13 significant digits. The relative size of the fourth-order C n (4) to the second-order C n (2) coefficients is seen to increase as n increases and at n=32 the fourth-order term is actually larger. �2005 The American Physical Society.

KW - Dispersion coefficients

KW - Fourth-order perturbation theory

KW - Radial matrix elements

KW - Radial wave functions

KW - Functions

KW - Hamiltonians

KW - Mathematical models

KW - Matrix algebra

KW - Perturbation techniques

KW - Set theory

KW - Van der Waals forces

KW - Hydrogen

M3 - Article

VL - 71

SP - 32709

EP - 32713

JO - Physical Review A

JF - Physical Review A

SN - 1050-2947

IS - 3

ER -