Anti-Isospectral Transformations in Quantum Mechanics

DOI10.1142/S0217732397001242zbMath1022.81519OpenAlexW2132578448WikidataQ62397669 ScholiaQ62397669MaRDI QIDQ2728427

Zbigniew Walczak, Agnieszka Krajewska, A. G. Ushveridze

Publication date: 1 August 2001

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217732397001242

Mathematics Subject Classification ID

Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99) General mathematical topics and methods in quantum theory (81Q99)

Related Items (12)

Anti-isospectral transformations, orthogonal polynomials, and quasi-exactly solvable problems ⋮ MATCHING WEAK COUPLING AND QUASICLASSICAL EXPANSIONS FOR DUAL QES PROBLEMS ⋮ A Bethe ansatz solvable model for superpositions of Cooper pairs and condensed molecular bosons ⋮ \(\mathfrak{sl}(M+1)\) construction of quasi-solvable quantum \(M\)-body systems. ⋮ Do quasi-exactly solvable systems always correspond to orthogonal polynomials? ⋮ Analytically solvable PT-invariant periodic potentials ⋮ Nonlinear holomorphic supersymmetry on Riemann surfaces ⋮ Duality and self-duality (Energy reflection symmetry) of quasi-exactly solvable periodic potentials ⋮ A PT-invariant potential with complex QES eigenvalues ⋮ A number of quasiexactly solvable N-body problems ⋮ Type A \(N\)-fold supersymmetry and generalized Bender-Dunne polynomials ⋮ PT-invariant periodic potentials with a finite number of band gaps

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