On a Derivation of Gel'fand-Levitan Equation by Means of Riemann-Hilbert Problem
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概要
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A new derivation of the completeness relation for Jost functions is directly given byusing the Riemann-Hilbert problems. A bilinear functional, depending on x and y, isintroduced and by using this functional the Gel'fand-Levitan integral equation isrepresented generally mapping a (ground) state to another (excited) state. We also geta good connection of the Riemann-Hilbert transform (matrices) with the Gel'fand-Levitan equation.
- 社団法人日本物理学会の論文
- 1988-01-15
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