The Negative Dimensional Oscillator at Finite Temperature
Silvio J. Rabello, Arvind N. Vaidya, Luiz Claudio M. de Albuquerque
TL;DR
This paper investigates the finite temperature properties of the negative dimensional harmonic oscillator, revealing its distinct thermal behavior despite Grassmann number description, contrasting with Fermi systems.
Contribution
It introduces an analysis of the negative dimensional oscillator at finite temperature, highlighting differences from Fermi systems and extending prior zero-temperature studies.
Findings
Thermal behavior differs from Fermi systems.
Negative dimensional oscillator exhibits unique finite temperature properties.
Grassmann number description persists at finite temperature.
Abstract
We study the thermal behavior of the negative dimensional harmonic oscillator of Dunne and Halliday that at zero temperature, due to a hidden BRST symmetry of the classical harmonic oscillator, is shown to be equivalent to the Grassmann oscillator of Finkelstein and Villasante. At finite temperature we verify that although being described by Grassmann numbers the thermal behavior of the negative dimensional oscillator is quite different from a Fermi system.
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