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

V. G. Bagrov, V. V. Belov, A. Y. Trifonov, A. A. Yevseyevich

Research output: Contribution to journalArticle

8 Citations (Scopus)

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(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.

Original languageEnglish
Article number011
Pages (from-to)515-527
Number of pages13
JournalClassical and Quantum Gravity
Volume8
Issue number3
DOIs
Publication statusPublished - 1991

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quantum mechanics
charged particles
Klein-Gordon equation
trajectories
approximation
scalars
electromagnetism

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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.

In: Classical and Quantum Gravity, Vol. 8, No. 3, 011, 1991, p. 515-527.

Research output: Contribution to journalArticle

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