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math-ph2013★ 1 cited
Statistics of energy partitions for many-particle systems in arbitrary dimension
Vincenzo Aquilanti, Andrea Lombardi, Mikhail B. Sevryuk
In some previous articles, we defined several partitions of the total kinetic energy T of a system of N classical particles in the d-dimensional Euclidean space into components cor…
quant-ph2013★ 22 cited
Hamiltonian dynamics of a quantum of space: hidden symmetries and spectrum of the volume operator, and discrete orthogonal polynomials
Vincenzo Aquilanti, Dimitri Marinelli, Annalisa Marzuoli
The action of the quantum mechanical volume operator, introduced in connection with a symmetric representation of the three-body problem and recently recognized to play a fundament…