XL Workshop on Geometric Methods in Physics Białowieża, 2-8.07.2023 XII School on Geometry and Physics Białystok, 26-30.06.2023

Petr Novotný

Quantum Particle on $G_{2}$ Dual Weight Lattice in Even Weyl Alcove

Model of a free non-relativistic quantum particle propagating on the dual weight lattice inside the scaled fundamental domain is described and solved using Weyl orbit functions. Example concerning

G_{2}

root system is presented.

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Petr Novotný

Quantum Particle on G2 Dual Weight Lattice in Even Weyl Alcove

Quantum Particle on $G_{2}$ Dual Weight Lattice in Even Weyl Alcove