Bound states of a canonical system with a pseudo-exponential potential

DOI10.1007/BF01299847zbMath0993.34072MaRDI QIDQ5943633

Israel Gohberg, Marinus A. Kaashoek, Alexander L. Sakhnovich

Publication date: 11 September 2002

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

canonical systemsall bound states in closed formhalf-line and full-line axis of coordinatespseudo-Dirac selfadjoint operatorpseudo-exponential potential

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Explicit solutions, first integrals of ordinary differential equations (34A05) Applications of operator theory to differential and integral equations (47N20) Inverse problems involving ordinary differential equations (34A55)

Related Items (2)

Generalized Bäcklund-Darboux transformation: Spectral properties and nonlinear equations ⋮ A trace formula for canonical differential expressions.

Cites Work

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• Applications of a commutation formula
• Classes of linear operators. Vol. II
• Canonical Systems with Rational Spectral Densities: Explicit Formulas and Applications
• New situation in quantum mechanics (wonderful potentials from the inverse problem)
• On the double commutation method

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