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math.DS2022★ 3 cited
Gravitational billiards bouncing inside general domains -- foci curves and confined domains
Daniel Jaud
A massive particle under the influence of a constant gravitational force that is bouncing inside an ideal reflecting mirror described by some function is considered. For the…
quant-ph2022
Classical and quantum billiard inside the square with gravitational field
Daniel Jaud
The classical and quantum behavior of a particle inside a square box under the influence of the gravitational field is studied. Detailed calculations on periodic orbits, probabilit…