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- W4366279904 abstract "A Lie system is a non-autonomous system of ordinary differential equations describing the integral curves of a $t$-dependent vector field taking values in a finite-dimensional Lie algebra of vector fields. Lie systems have been generalised in the literature to deal with $t$-dependent Schrodinger equations determined by a particular class of $t$-dependent Hamiltonian operators, the quantum Lie systems, and other differential equations through the so-called quasi-Lie schemes. This work extends quasi-Lie schemes and quantum Lie systems to cope with $t$-dependent Schrodinger equations associated with the here called quantum quasi-Lie systems. To illustrate our methods, we propose and study a quantum analogue of the classical nonlinear oscillator searched by Perelomov and we analyse a quantum one-dimensional fluid in a trapping potential along with quantum $t$-dependent Smorodinsky--Winternitz oscillators." @default.
- W4366279904 created "2023-04-20" @default.
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- W4366279904 date "2023-04-18" @default.
- W4366279904 modified "2023-09-30" @default.
- W4366279904 title "Quantum quasi-Lie systems: properties and applications" @default.
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- W4366279904 doi "https://doi.org/10.1140/epjp/s13360-023-03883-9" @default.
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