Arbitrary-order Jordan chains associated with quantum-mechanical Hamiltonians: Representations and integral formulas

DOI10.1063/1.4942450zbMath1332.81060OpenAlexW2280301333WikidataQ114104092 ScholiaQ114104092MaRDI QIDQ2795603

Axel Schulze-Halberg

Publication date: 21 March 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4942450

zbMATH Keywords

eigenspaces

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (4)

Higher-order Darboux transformations and Wronskian representations for Schrödinger equations with quadratically energy-dependent potentials ⋮ Recursive representation of Wronskians in confluent supersymmetric quantum mechanics ⋮ The generalized confluent supersymmetry algorithm: Representations and integral formulas ⋮ Regularity conditions for transformed potentials in the confluent supersymmetry algorithm

Cites Work

• Unnamed Item
• Wronskian differential formula for \(k\)-confluent SUSY QM
• Wronskian differential formula for confluent supersymmetric quantum mechanics
• Wronskian formula for confluent second-order supersymmetric quantum mechanics
• Hyperconfluent third-order supersymmetric quantum mechanics
• On integral and differential representations of Jordan chains and the confluent supersymmetry algorithm
• The confluent algorithm in second-order supersymmetric quantum mechanics
• Derivatives of any order of the confluent hypergeometric function F11(a,b,z) with respect to the parameter a or b

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