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On the phase-shift
formula for the scattering operator
Teruo Ikebe |
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Vol. 15 (1965), No. 2, 511–523
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Abstract |
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Let us denote by S|k| the scattering operator attached to a fixed value |k|2 of the kinetic energy. We shall show by a method different from that of Buslaev [2] that S|k| is the identity plus a Hilbert-Schmidt integral operator under a weaker assumption on q(x), and give a way of unique determination of the phase shifts in terms of which S|k| can be represented as the orthogonal direct sum of multiplication operators by a number with absolute value equal to unity. |
Mathematical Subject Classification
Primary: 81.47
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Milestones
Received: 20 December 1963
Published: 1 June 1965
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Authors |
| Teruo Ikebe | |
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