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   Articles with "spectral problems" as a keyword



Exact and Approximate Solutions of the Spectral Problems for the Differential Schrödinger Operator with Polynomial Potential in ℝK, K ≥ 2

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recommendations! Published in 2019 at "Journal of Mathematical Sciences"

DOI: 10.1007/s10958-019-04354-2

Abstract: We consider spectral problems for the Schrödinger operator with polynomial potentials in ℝK, K ≥ 2. By using a functional-discrete (FD-)method and the Maple computer algebra system, we determine a series of exact least eigenvalues… read more here.

Keywords: operator polynomial; spectral problems; polynomial potential; dinger operator ... See more keywords
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BPS relations from spectral problems and blowup equations

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recommendations! Published in 2019 at "Letters in Mathematical Physics"

DOI: 10.1007/s11005-019-01163-1

Abstract: Recently, an exact duality between topological string and the spectral theory of operators constructed from mirror curves to toric Calabi–Yau threefold has been proposed. At the same time, an exact quantization condition for the cluster… read more here.

Keywords: spectral problems; blowup equations; bps relations; relations spectral ... See more keywords
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Inverse spectral problems for the generalized Robin–Regge problem with complex coefficients

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recommendations! Published in 2021 at "Journal of Geometry and Physics"

DOI: 10.1016/j.geomphys.2020.103936

Abstract: Abstract In this work, the generalized Robin–Regge problem with complex coefficients is investigated. Two new uniqueness theorems are proved for the inverse spectral problems, and the corresponding algorithms are also provided. For one of the… read more here.

Keywords: generalized robin; regge problem; spectral problems; problem complex ... See more keywords
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Matrix Spectral Problems and Integrability Aspects of the Błaszak-Marciniak Lattice Equations

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recommendations! Published in 2020 at "Reports on Mathematical Physics"

DOI: 10.1016/s0034-4877(20)30087-2

Abstract: A method to derive the matrix spectral problems of the Blaszak–Marciniak lattice equations is proposed, and the matrix Lax representations of all the three-field and four-field Blaszak-Marciniak lattice equations are given explicitly. The integrability aspects… read more here.

Keywords: integrability aspects; spectral problems; marciniak lattice; lattice equations ... See more keywords

Higher-Order Matrix Spectral Problems and Their Integrable Hamiltonian Hierarchies

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recommendations! Published in 2023 at "Mathematics"

DOI: 10.3390/math11081794

Abstract: Starting from a kind of higher-order matrix spectral problems, we generate integrable Hamiltonian hierarchies through the zero-curvature formulation. To guarantee the Liouville integrability of the obtained hierarchies, the trace identity is used to establish their… read more here.

Keywords: hamiltonian hierarchies; matrix spectral; higher order; integrable hamiltonian ... See more keywords