120 citations · 396 across the 35 of their papers we have counts for
36 papers
Exactly solved Schrödinger equations with time-dependent Hamiltonians
Michael Warnock, Antônio Francisco Neto, Pierre-Louis Giscard +2
We present the analytical, exact, explicit, and assumption free formulas for the evolution operators corresponding to four instances of time-dependent Hamiltonians relevant to quan…
Novel frame changes for quantum physics
Pierre-Louis Giscard, Omid Faizy, Christian Bonhomme
We present novel, exotic types of frame changes for the calculation of quantum evolution operators. We detail in particular the biframe, in which a physical system's evolution is s…
A -Product Approach for Analytical and Numerical Solutions of Nonautonomous Linear Fractional Differential Equations
Fabio Durastante, Pierre-Louis Giscard, Stefano Pozza
This article presents a novel solution method for nonautonomous linear ordinary fractional differential equations. The approach is based on reformulating the analytical solution us…
Fast construction of self-avoiding polygons and efficient evaluation of closed walk fractions on the square lattice
Jean Fromentin, Pierre-Louis Giscard, Yohan Hosten
We build upon a recent theoretical breakthrough by employing novel algorithms to accurately compute the fractions of all closed walks on the infinite square lattice whose the…
A Fréchet Lie group on distributions
Manon Ryckebusch, Abderrahman Bouhamidi, Pierre-Louis Giscard
Solving non-autonomous systems of ordinary differential equations leads to consider a new product of bivariate distributions called the ~product in the literature. This prod…
A co-preLie structure from chronological loop erasure in graph walks
Loïc Foissy, Pierre-Louis Giscard, Cécile Mammez
We show that the chronological removal of cycles from a walk on a graph, known as Lawler's loop-erasing procedure, generates a preLie co-algebra on the vector space spanned by the…