## Abstract

An exact scaling relation developed for nonlocal operators is presented. The matrix elements of a general nonlocal operator are related to a set of reduced matrix elements through scaling coefficients which do not explicitly depend on the particular nonlocal operator. The theory reduces to a conventional local scaling formulation in that limit. The guide to developing the nonlocal scaling relation comes from consideration of general symmetry properties of the nonlocal operator in a chosen representation. Operators with high degrees of symmetry will generally lead to scaling relations requiring a small number of scaling coefficients for practical applications. The theory is expected to be useful not only for providing exact nonlocal scaling relations but also as a tool for developing approximate scaling relations which still retain the nonlocal nature of the operator to an appropriate extent.

Original language | English (US) |
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Pages (from-to) | 877-882 |

Number of pages | 6 |

Journal | Physical Review A |

Volume | 32 |

Issue number | 2 |

DOIs | |

State | Published - Jan 1 1985 |

## All Science Journal Classification (ASJC) codes

- Atomic and Molecular Physics, and Optics