The method of transformation operators in the inverse scattering problem. The one-dimensional Stark effect
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Publication:1189010
DOI10.1007/BF01098978zbMath0745.34076MaRDI QIDQ1189010
A. P. Katchalov, Yaroslav Kurylev
Publication date: 26 September 1992
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
Electromagnetic theory (general) (78A25) Inverse problems involving ordinary differential equations (34A55) Scattering theory, inverse scattering involving ordinary differential operators (34L25)
Related Items (12)
Asymptotics of resonances for 1D Stark operators ⋮ Inverse spectral problem for the Schrödinger equation with an additional linear potential ⋮ Inverse scattering problem for the Schrödinger equation with an additional increasing potential on the line ⋮ On transformation operators for the Schrödinger equation with an additional periodic complex potential ⋮ TRIANGULAR REPRESENTATION OF THE JOST-TYPE SOLUTION TO THE PERTURBED MODIFIED MATHIEU EQUATION ⋮ Inverse spectral problem for the one-dimensional Stark operator on the semiaxis ⋮ Unnamed Item ⋮ Some Recent Developments in the Transmutation Operator Approach ⋮ Inverse spectral problem of an anharmonic oscillator on a half-axis with the Neumann boundary condition ⋮ Inverse scattering problem for the Schrödinger equation with an additional quadratic potential on the entire axis ⋮ Eigenvalue bounds for Stark operators with complex potentials ⋮ On spectral properties of the one-dimensional Stark operator on the semiaxis
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