### 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 |
---|---|

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

**Quasi-classical trajectory-coherent approximation in quantum mechanics of a charged particle in a curved spacetime.** / Bagrov, V. G.; Belov, V. V.; Trifonov, A. Y.; Yevseyevich, A. A.

Research output: Contribution to journal › Article

*Classical and Quantum Gravity*, vol. 8, no. 3, 011, pp. 515-527. https://doi.org/10.1088/0264-9381/8/3/011

}

TY - JOUR

T1 - Quasi-classical trajectory-coherent approximation in quantum mechanics of a charged particle in a curved spacetime

AU - Bagrov, V. G.

AU - Belov, V. V.

AU - Trifonov, A. Y.

AU - Yevseyevich, A. A.

PY - 1991

Y1 - 1991

N2 - 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(32/) 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.

AB - 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(32/) 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.

UR - http://www.scopus.com/inward/record.url?scp=0011662622&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0011662622&partnerID=8YFLogxK

U2 - 10.1088/0264-9381/8/3/011

DO - 10.1088/0264-9381/8/3/011

M3 - Article

AN - SCOPUS:0011662622

VL - 8

SP - 515

EP - 527

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 3

M1 - 011

ER -