Dimensional enhancement of kinetic energies

Details Dimensional enhancement of kinetic energies Dimensional enhancement of kinetic energies

2002-03-14

arxiv.org/abs/quant-ph/0203063v1

Phys. Rev. A 65, 052109 (2002)

Physics

Quantum Physics

9 pages, accepted by Phys. Rev. A

Scientific paper

10.1103/PhysRevA.65.052109

Simple thermodynamics considers kinetic energy to be an extensive variable which is proportional to the number, N, of particles. We present a quantum state of N non-interacting particles for which the kinetic energy increases quadratically with N. This enhancement effect is tied to the quantum centrifugal potential whose strength is quadratic in the number of dimensions of configuration space.

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