## Abstract

A method of variable reduction of the dimensionality of the coupled equations for inelastic scattering is presented, based upon a projection operator P with a restricted range of orbital angular momentum states. For rotational states in the range O≤j ≤j^{*} and total angular momentum large, the coupled equations have dimensionality (j^{*} + 1) ≤ N ≤(j^{*} + 1)^{2}, where the value of N is controlled by the choice of P. This is in contrast to conventional partitioning techniques which utilize further restrictions on the important molecular rotational states. The equations for the P subspace and its complementary Q subspace are decoupled by an approximation on the equation of motion of Qψ_{scat}. Information about scattering into the Q subspace is retained, within this degree of approximation, and is reintroduced at the end of the computation with little additional labor. The theory is developed in terms of atom-rigid-rotor scattering, although addition of vibrational modes would not in any way interfere with the basic techniques used.

Original language | English (US) |
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Pages (from-to) | 458-466 |

Number of pages | 9 |

Journal | Chemical Physics |

Volume | 4 |

Issue number | 3 |

DOIs | |

State | Published - Jun 1974 |

## All Science Journal Classification (ASJC) codes

- General Physics and Astronomy
- Physical and Theoretical Chemistry