Abstract
Starting from the Klein-Gordon equation, the single-particle approximation for a reiativistic scalar particle in the presence of external electromagnetic and gravitational fields is performed. The nonrelativistic limit is obtained by a Foldy-Wouthuysen transformation on a Schrödinger-type equation. The results are then compared with those obtained in classical mechanics.
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Cognola, G., Vanzo, L. & Zerbini, S. Relativistic wave mechanics of spinless particles in a curved space-time. Gen Relat Gravit 18, 971–982 (1986). https://doi.org/10.1007/BF00773561
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DOI: https://doi.org/10.1007/BF00773561