### Abstract

A concept of semiclassically concentrated states is developed on the basis of the Maslov germ theory. Higher approximations of semiclassical trajectory-coherent states and of semiclassical Green function (in the class of semiclassically concentrated states) for a many-dimensional Schrödinger-type equation are constructed. It is shown that, in class of such semiclassically concentrated states, a Schrödinger-type equation (up to any order of ℏ, ℏ → 0) is equivalent, from the viewpoint of calculating the quantum averages, to a closed finite system of ordinary differential equations.

Original language | English |
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Pages (from-to) | 231-290 |

Number of pages | 60 |

Journal | Annals of Physics |

Volume | 246 |

Issue number | 2 |

DOIs | |

Publication status | Published - 15 Mar 1996 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)