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Titlebook: Geometric Methods in Physics XXXVIII; Workshop, Białowieża Piotr Kielanowski,Anatol Odzijewicz,Emma Previato Conference proceedings 2020 Th

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Claire L. Roether,Lars Omlor,Martin A. Gieseracterized by a complex-valued potential, both of them with only real eigenvalues in their spectrum. The superpotential that links these systems is complex-valued, parameterized by the solutions of the Ermakov equation, and may be expressed either in nonlinear form or as the logarithmic derivative o
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978-3-030-53307-6The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Geometric Methods in Physics XXXVIII978-3-030-53305-2Series ISSN 2297-0215 Series E-ISSN 2297-024X
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Sur l’évolution des systèmes planétaireslled .. Besides, we define and characterize the hom-associative dialgebras, hom-Leibniz algebra and hom-left symmetric dialgebras, and discuss their main relevant properties. Explicit examples are given to illustrate the developed formalism.
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https://doi.org/10.1007/978-3-642-60114-9p to the Hamiltonian operators’ factorized structure. We investigate this for completely integrable spinless systems, showing the connection with the classical Bethe ansatz ground state representation. The quantum Hamilton operators are considered for integrable delta-potential and oscillatory Caloger-Moser-Sutherland models.
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2-Hom-Associative Bialgebras and Hom-Left Symmetric Dialgebraslled .. Besides, we define and characterize the hom-associative dialgebras, hom-Leibniz algebra and hom-left symmetric dialgebras, and discuss their main relevant properties. Explicit examples are given to illustrate the developed formalism.
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On Hom-Lie–Rinehart Algebras-structure and describe homology and cohomology complexes by considering coefficient modules. In the sequel, we consider some special classes of hom-Gerstenhaber algebras and their relationship with hom-Lie algebroids by Mandal and Mishra (J Geom Phys 133:287–302, 2018; Commun Algebra 46(9):3722–3744, 2018).
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