The Cauchy problem of the one dimensional Schrödinger equation with non-local potentials
For a large class of operators A, 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)=1 possesses a unique solution in the Hilbert (H2(Δ)) and Banach (H1(Δ)) spaces of analytic functions in the unit disc Δ={z:|z|<1}....
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171293000985 |