Tatjana MAISTRENKO, Stanislav POPOVYCH, Yurii S. SAMOILENKO
Institute of Mathematics of NAS of Ukraine,
3 Tereshchenkivs'ka Str.,
01601 Kyiv-4, UKRAINE
E-mail: tanya@imath.kiev.ua, stascon@i.com.ua, yurii_sam@imath.kiev.ua

On quantum inharmonic oscillator

Abstract:
The C*-algebras associated with quadratic unimodal maps f(x)=ax(1-x) and g(x)=1+ax-bx2 are considered. The later called the algebra of inharmonic quantum oscillator. Representation theory is developed and the isomorphism invariant under assumption of simplicity of the dynamical systems is presented.