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• W4383057504 abstract "Abstract The Hamiltonians of finite-type discrete quantum mechanics with real shifts are real symmetric matrices of order N + 1. We discuss the Darboux transformations with higher-degree (&gt;N) polynomial solutions as seed solutions. They are state-adding and the resulting Hamiltonians after M steps are of order N + M + 1. Based on 12 orthogonal polynomials ((q-)Racah, (dual, q-)Hahn, Krawtchouk, and five types of q-Krawtchouk), new finite-type multi-indexed orthogonal polynomials are obtained, which satisfy second-order difference equations, and all the eigenvectors of the deformed Hamiltonian are described by them. We also present explicit forms of the Krein–Adler-type multi-indexed orthogonal polynomials and their difference equations, which are obtained from the state-deleting Darboux transformations with lower-degree (≤N) polynomial solutions as seed solutions." @default.
• W4383057504 created "2023-07-05" @default.
• W4383057504 creator A5037290273 @default.
• W4383057504 date "2023-07-01" @default.
• W4383057504 modified "2023-09-26" @default.
• W4383057504 title "New finite-type multi-indexed orthogonal polynomials obtained from state-adding Darboux transformations" @default.
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• W4383057504 doi "https://doi.org/10.1093/ptep/ptad077" @default.
• W4383057504 hasPublicationYear "2023" @default.
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