Quantum support to BoHua Sun's conjecture

Abstract

A generalization of the Kepler's third law has been proposed by BoHua Sun for $N$-body periodic orbits in a Newtonian gravitation field. In this paper, it is shown that this formula can apply for a quantum system of $N$ self-gravitating identical particles, for a good choice of the period for the quantum motion.

Two references and a justification are added

References in corpus (8)

• More than six hundreds new families of Newtonian periodic planar collisionless three-body orbits
• Collisionless periodic orbits in the free-fall three-body problem
• Numerical tests of the envelope theory for few-boson systems
• Many-body forces with the envelope theory
• Improvement of the envelope theory with the dominantly orbital state method
• Kepler's third law of n-body periodic orbits in a Newtonian gravitation field
• Periodic three-body orbits in the Coulomb potential
• Three theorems of quantum mechanics and their classical counterparts

Cited by in corpus (2)

• Quasi Kepler's third law for quantum many-body systems
• Classical and Quantum Kepler's Third Law of N-Body System