### Abstract

The integral eigenvalue equation of the Hamiltonian with a finite-range potential is transformed so as to explicitly take into account the particular structure of a potential consisting of a finite collection of nonoverlapping, muffin-tin type individual potentials (scatterers). The separation between structure and potential, thought to be obtained as an exact result in the framework of multiple-scattering theory, is found to represent an approximation which originates in having considered what is only a necessary condition to be both necessary and sufficient. As an application, the equation for the energy levels of a muffin-tin periodic potential is discussed and shown to be represented by the Korringa-Kohn-Rostoker equation only as an approximate result.

Original language | English |
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Pages (from-to) | 10469-10474 |

Number of pages | 6 |

Journal | Physical Review B |

Volume | 37 |

Issue number | 18 |

DOIs | |

Publication status | Published - 1988 |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Physical Review B*,

*37*(18), 10469-10474. https://doi.org/10.1103/PhysRevB.37.10469