Dimensional enhancement  of kinetic energies

W.P. Schleich; Jens Peder Dahl

doi:10.1103/PhysRevA.65.052109

Dimensional enhancement of kinetic energies

W.P. Schleich, Jens Peder Dahl

Ulm University

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Abstract

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 noninteracting 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.

Original language	English
Journal	Physical Review A
Volume	65
Issue number	5
Pages (from-to)	052109
ISSN	2469-9926
DOIs	https://doi.org/10.1103/PhysRevA.65.052109
Publication status	Published - 2002

Bibliographical note

Copyright (2002) American Physical Society

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