Dimensional enhancement of kinetic energies

W.P. Schleich, Jens Peder Dahl

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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 languageEnglish
    JournalPhysical Review A
    Volume65
    Issue number5
    Pages (from-to)052109
    ISSN2469-9926
    DOIs
    Publication statusPublished - 2002

    Bibliographical note

    Copyright (2002) American Physical Society

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