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math.NA2023★ 1 cited
A new fast numerical method for the generalized Rosen-Zener model
Christian Bonhomme, Stefano Pozza, Niel Van Buggenhout
In quantum mechanics, the Rosen-Zener model represents a two-level quantum system. Its generalization to multiple degenerate sets of states leads to larger non-autonomous linear sy…
math.NA2023
A new Legendre polynomial-based approach for non-autonomous linear ODEs
Stefano Pozza, Niel Van Buggenhout
We introduce a new method with spectral accuracy to solve linear non-autonomous ordinary differential equations (ODEs) of the kind $ \frac{d}{dt}\tilde{u}(t) = \tilde{f}(t) \tilde{…