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The two Coulomb centres problem at large centre separation

Igor V. KomarovDepartment of Theoretical Physics, Leningrad State University, Leningrad, USSRS. Yu. SlavyanovDepartment of Theoretical Physics, Leningrad State University, Leningrad, USSR
1968en
ABI

Abstract

The case of large centre separation R in the two Coulomb centres problem is treated with the help of a comparison method. A multipole expansion for the energy in reciprocal powers of R is obtained up to O(R-5). Particular attention is paid to quasi-crossings of the energy curves. Their position and the splitting of the curves is found. It is shown that these quasi-crossings correspond to a Coulomb series for a charge equal to the difference between the charges of the centres.

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