Abstract
As an example for the application of the Sugawara–Kanazawa theorem and the Herglotz theorem introduced and discussed in Chap. 4, we derive the DR satisfied by the eigenvalues of the scattering kernel in Quantum Mechanics. The exposition is motivated by Ref. [17].
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Notes
- 1.
This equation differs by a minus sign compared to Eq. (2.65) because \(V=-v\), so that \(H=H_0+V\).
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Oller, J.A. (2019). Exact Dispersion Relations in Quantum Mechanics for the Eigenvalues of the Scattering Kernel. In: A Brief Introduction to Dispersion Relations. SpringerBriefs in Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-13582-9_5
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DOI: https://doi.org/10.1007/978-3-030-13582-9_5
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