The Cauchy problem of the one dimensional Schrödinger equation with non-local potentials
1993 ◽
Vol 16
(4)
◽
pp. 791-794
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Keyword(s):
The One
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For a large class of operatorsA, not necessarily local, it is proved that the Cauchy problem of the Schrödinger equation:−d2f(z)dz2+Af(z)=s2f(z), f(0)=0, f′(0)=1possesses a unique solution in the Hilbert(H2(Δ))and Banach(H1(Δ))spaces of analytic functions in the unit discΔ={z:|z|<1}.
Keyword(s):
2005 ◽
Vol 50
(8-9)
◽
pp. 1345-1362
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2009 ◽
Vol 238
(6)
◽
pp. 687-698
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1972 ◽
Vol 29
(19)
◽
pp. 1350-1353
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Keyword(s):
2018 ◽
Vol 40
(6)
◽
pp. A4083-A4104
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Keyword(s):