### Abstract

Using Maslov's complex sprout method the complete set of quasiclassical trajectory-coherent quantum states (TCS) for the Klein-Gordon equation in a curved spacetime in the presence of external electromagnetic and background scalar fields up to the order of O(^{3}2/) at to 0 was constructed. The approximate solutions Psi _{v} are strongly peaked around the worldline neighbourhood of the charged particles. The method of reducing the initial Klein-Gordon equation to the Schrodinger type equation for which Psi _{v} are exact solutions has been developed. In the quasi-classical trajectory-coherent approximation based on the 'gamma -reconstruction' technique the concept of the local time for a quantum scalar particle in a curved spacetime has been suggested. In general it has been stated that the constructed TCS Psi _{v} permit the standard quantum-mechanical interpretation.

Original language | English |
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Article number | 011 |

Pages (from-to) | 515-527 |

Number of pages | 13 |

Journal | Classical and Quantum Gravity |

Volume | 8 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1991 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Classical and Quantum Gravity*,

*8*(3), 515-527. [011]. https://doi.org/10.1088/0264-9381/8/3/011