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Showing 2022 · math-phShow all
2 papers · 2 filters
math-ph2022★ 2 cited
New Finite Type Multi-Indexed Orthogonal Polynomials Obtained From State-Adding Darboux Transformations
Satoru Odake
The Hamiltonians of finite type discrete quantum mechanics with real shifts are real symmetric matrices of order . We discuss the Darboux transformations with higher degree ($…
math-ph2022★ 6 cited
Delocalized spectra of Landau operators on helical surfaces
Yosuke Kubota, Matthias Ludewig, Guo Chuan Thiang
On a flat surface, the Landau operator, or quantum Hall Hamiltonian, has spectrum a discrete set of infinitely degenerate Landau levels. We consider surfaces with asymptotically co…