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Adiabatic approximation forW * quantum systems with particles of massm,M as (m/M)1/2→0

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Abstract

The (m/M)1/2→0 limit and the adiabatic approximation for a nonrelativistic system consisting of light and heavy particles of massesm,M are studied. The method used involves a standard representation of quantum mechanics, in which the limit above exists. The standard representation is described in some detail, and the Primas-Raggio theorem is derived, which implies that the limit (m/M)1/2→0, the heavy-particle system is a static, semiclassical system, i.e., with a commutative algebra of observables. The adiabatic approximation is derived as the leading correction.

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  1. Department of Chemistry, University of Oslo, Blindern-Oslo 3, Norway

    Hans H. Grelland

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  1. Hans H. Grelland
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Grelland, H.H. Adiabatic approximation forW * quantum systems with particles of massm,M as (m/M)1/2→0. Int J Theor Phys 24, 179–192 (1985). https://doi.org/10.1007/BF00672652

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  • DOI: https://doi.org/10.1007/BF00672652

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