Abstract
A method has been developed for constructing higher-order approximations for semiclassical path-coherent states of a spinless relativistic particle. Expressions for the higher-order approximations are derived in quadrature form from the classical path of the particle. The method for constructing higher-order approximations is based on Maslov's complex WKB method.
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V. G. Bagrov and V. V. Belov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 4, 48 (1982).
V. P. Maslov and M. V. Fedoryuk, Semiclassical Approximation for the Equations of Quantum Mechanics [in Russian], Nauka, Moscow (1976).
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V. G. Bagrov, V. V. Belov, and I. M. Ternov, J. Math. Phys.,24, 2855 (1983).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 54–58, July, 1988.
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Belov, V.V., Karavaev, A.G. Higher-order approximations for semiclassical path-coherent states of a spinless relativistic particle. Soviet Physics Journal 31, 563–566 (1988). https://doi.org/10.1007/BF00917549
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DOI: https://doi.org/10.1007/BF00917549