FIZIKA A 9 (2000) 3 , 129-136
THE ANHARMONIC OSCILLATOR AND DOROCZY-TSALLIS STATISTICS IN THE LOW
Massachusetts State College of Liberal Arts, North Adams,
Massachusetts 01247, U.S.A.
Received 5 October 1999; revised manuscript received 18 September 2000
Accepted 16 October 2000
By allowing for quartic corrections to the Hamiltonian of the harmonic oscillator we
study the effect that these corrections have on the thermal energy of an anharmonic
oscillator within the context of Doroczy-Tsallis statistics in the low temperature limit.
PACS numbers: 05.30 d 63.70.+h, 65.40.-f
UDC 531.142.6, 536.75
Keywords: non-extensive statistics, anharmonic oscillator, multi-fractral distribution
density of states, heat capacity of solids