Classical and quantum billiard inside the square with gravitational field
Daniel Jaud
TL;DR
This paper investigates the classical and quantum dynamics of a particle in a square billiard under gravity, analyzing periodic orbits, probability densities, and quantum expectation values.
Contribution
It provides a detailed analysis of both classical and quantum behaviors of a particle in a gravitational square billiard, including new calculations of orbits and quantum properties.
Findings
Identification of classical periodic orbits under gravity
Quantum probability densities influenced by gravitational field
Comparison of classical and quantum behaviors in the system
Abstract
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, probability densities as well as expectation values and uncertainties are carried out.
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