Several exactly solvable quantum mechanical systems and the SWKB quantization condition

DOI10.1007/978-981-19-4751-3_29OpenAlexW4318445550MaRDI QIDQ6193525

Yuta Nasuda

Publication date: 16 March 2024

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-19-4751-3_29

zbMATH Keywords

supersymmetric quantum mechanicsshape invariancemulti-indexed Laguerre and Jacobi polynomialsexactly solvable Schrödinger equationKrein-Adler transformationSWKB quantization condition

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Quantum theory (81-XX)

Cites Work

• Unnamed Item
• Dynamical breaking of supersymmetry
• Conditionally exactly solvable potentials: A supersymmetric construction method
• A modification of Crum's method
• Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry
• Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux–Crum transformations
• The supersymmetric WKB formalism is not exact for all additive shape invariant potentials
• Numerical study of the SWKB condition of novel classes of exactly solvable systems
• The Factorization Method

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