Application of spectral representations to the nonrelativistic and the relativistic Bethe-Salpeter equation |
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| Authors: | G Kramer K Meetz |
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| Institution: | (1) Physikalisches Staatsinstitut, II. Institut für Experimentalphysik, Hamburg;(2) II. Institut für Theoretische Physik der Universität Hamburg, Germany |
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| Abstract: | The eigenvalue problem of the scalar Bethe-Salpeter equation is solved by application of the vertical Dyson representation. The method of solution is developed in complete analogy to the solution of Schrödinger's equation by a Stieltjes representation in the case of a Yukawa potential. The eigenvalues are zeros of a characteristic determinant, which can be understood as a generalization of the nonrelativistic Jost function. |
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