A representation for solutions of the Sturm–Liouville equation
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Publication:3521131
DOI10.1080/17476930802102894zbMath1183.30052OpenAlexW2151499535MaRDI QIDQ3521131
Publication date: 27 August 2008
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476930802102894
Schrödinger equationSturm-Liouville problemDarboux transformationVekua equationpseudoanalytic functions
Sturm-Liouville theory (34B24) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)
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Cites Work
- Separable Laplace equation, magic Toeplitz matrix, and generalized Ohm's law
- On a factorization of second-order elliptic operators and applications
- New classes of potentials for which the radial Schrödinger equation can be solved at zero energy: II
- On a relation of pseudoanalytic function theory to the two-dimensional stationary Schrödinger equation and Taylor series in formal powers for its solutions
- New classes of potentials for which the radial Schrödinger equation can be solved at zero energy
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