Skip to content
DraconiticResearch
Search Sources API
201,818 studies31 sourcesUpdated 41 min ago
PreprintarXiv licencearXiv

Quaternionic Quantum q-Oscillator and Unbounded Subnormal Operators

  • T. Prasad
  • K Krishnan
  • E. Shine Lal
Open at sourcePDFDOICite

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.

Related

  1. Hyponormal and subnormal dual Toeplitz operators
    Linghui Kong, Yongning Li, Da Sun +1
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  2. Automorphic Dirac Operators and an Analogue of the Quantum Harmonic Oscillator on Γbackslash H
    Marcella Manivel
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  3. On the transformation of unbounded convergent sequences by linear operators on Banach lattices
    Fabrício Santos, Ewerton Torres
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsarXiv
  4. Lp-regularity for fourth-order Schrödinger operators with unbounded or degenerate coefficients
    Federica Gregorio, Chiara Spina, Cristian Tacelli
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  5. Modified wave operators are unbounded on Lp for p≠ 2
    Akitoshi Hoshiya, Kouichi Taira
    arXivPreprintarXiv licenceFull textAnalysis & PDEsMathematical physicsarXiv

Cite

BibTeXRIS
BibTeX
@misc{prasad2026quaternionic,
  title = {{Quaternionic Quantum q-Oscillator and Unbounded Subnormal Operators}},
  author = {T. Prasad and K Krishnan and E. Shine Lal},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.06032},
  eprint = {2608.06032},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.06032},
}
RIS
TY  - UNPB
TI  - Quaternionic Quantum q-Oscillator and Unbounded Subnormal Operators
AU  - T. Prasad
AU  - K Krishnan
AU  - E. Shine Lal
PY  - 2026
DA  - 2026/10/17
PB  - arXiv
DO  - 10.48550/arxiv.2608.06032
UR  - https://arxiv.org/abs/2608.06032
AB  - 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.
ER  -