Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics
arXiv:2608.06032
Abstract
In this note, we observe that the class of unbounded subnormal operators on quaternionic Hilbert spaces is a solution of quaternionic quantum harmonic q-oscillator whose complex case is addressed by Szefraniec in [19]. We also address the connection of unbounded subnormal operators on quaternionic Hilbert spaces, quaternionic quantum harmonic q-oscillator and quaternionic quantum economics using model theory of unbounded subnormal operators.
Preliminary Draft, 9 pages