# Non-perturbative Quantum Propagators in Bounded Spaces

@inproceedings{Edwards2021NonperturbativeQP, title={Non-perturbative Quantum Propagators in Bounded Spaces}, author={J. P. Edwards and V'ictor A. Gonz'alez-Dom'inguez and Idrish Huet and Maria Anabel Trejo}, year={2021} }

We outline a new approach to calculating the quantum mechanical propagator in the presence of geometrically non-trivial Dirichlet boundary conditions based upon a generalisation of an integral transform of the propagator studied in previous work (the so-called “hit function”), and a convergent sequence of Padé approximants. In this paper the generalised hit function is defined as a many-point propagator and we describe its relation to the sum over trajectories in the Feynman path integral. We…

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