Global properties of radial wave functions in Schwarzschild's space-time |
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Authors: | S. Persides |
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Affiliation: | (1) University of Thessaloniki, Thessaloniki, Greece |
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Abstract: | Two solutions 5(x, xs) and 6(x, xs) related to the irregular singular point atx=+ of the radial wave equation in Schwarzschild's space-time are studied as functions of the independent variablex and the parameterxs. Analytic continuations of 5 and 6 are derived and their relation to the flat-space case solutions is established. Explicit expressions for 3(x, xs) and 4(x, xs) (the solutions about the regular singular point atx=xs) are given. From these expressions and the analytic continuations of 5 and 6 the coefficients relating linearly 5 and 6 with i(i=1, 2, 3, 4) are calculated. |
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