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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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Fock Quantization of Canonical Transformations and Semiclassical Asymptotics for Degenerate Problemsal (high-frequency) asymptotic approximation. This role may well pass unnoticed as long as one deals with nondegenerate differential equations. However, the situation is different for some classes of equations with degeneration, where the Fock quantization of canonical transformations becomes instru
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Some Recent Results on Contact or Point Supported Potentialsfter a simple general presentation in one dimension, we briefly discuss a one dimensional periodic potential with a .-.. interaction at each node. The dependence of energy bands with the parameters (coefficients of the deltas) can be computed numerically. We also study the .-.. interaction supported
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Many-Particle Schrödinger Type Finitely Factorized Quantum Hamiltonian Systems and Their Integrabilip 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 Calog
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On the Construction of Non-Hermitian Hamiltonians with All-Real Spectra Through Supersymmetric Algorracterized 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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