RT Journal Article T1 Generalized time-dependent SIS Hamiltonian models: Exact solutions and quantum deformations A1 Fernández Saiz, Eduardo A1 Campoamor Stursberg, Otto-Rudwig A1 Herranz, Francisco J. AB The theory of Lie–Hamilton systems is used to construct generalized time-dependent SIS epidemic Hamiltonians with a variable infection rate from the ‘book’ Lie algebra. Although these are characterized by a set of non-autonomous nonlinear and coupled differential equations, their corresponding exact solution is explicitly found. Moreover, the quantum deformation of the book algebra is also considered, from which the corresponding deformed SIS Hamiltonians are obtained and interpreted as perturbations in terms of the quantum deformation parameter of previously known SIS systems. The exact solutions for these deformed systems are also obtained. PB IOP Science SN 1742-6588 SN 1742-6596 YR 2023 FD 2023-12-01 LK https://hdl.handle.net/20.500.14352/105912 UL https://hdl.handle.net/20.500.14352/105912 LA eng NO XII International Symposium on Quantum Theory and Symmetries (QTS12) NO DS Docta Complutense RD 5 abr 2025