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Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics

Functional Analysis 2026-08-06 v1 Mathematical Physics

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.

Cite

@article{arxiv.2608.06032,
  title  = {Quaternionic Quantum q-Oscillator And Unbounded Subnormal Operators In Quantum Economics},
  author = {T. Prasad and K Krishnan and E. Shine Lal},
  journal= {arXiv preprint arXiv:2608.06032},
  year   = {2026}
}

Comments

Preliminary Draft, 9 pages