Year: 2026
Type: preprint
Abstract: In this note, we observe that the class of unbounded subnormal operators on quaternionic Hilbert spaces is a solution of quaternionic q-oscillator problem whose complex case is addressed by Szefraniec in [27]. 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. Moreover, we study model theory for sub-2-normal operators on quaternionic Hilbert space.
Source: arXiv (Cornell University)
Authors: Prasad, T., Krishnan, K, Lal, E. Shine
Institution: University of Kerala
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7201882405