RUS  ENG
Полная версия
ЖУРНАЛЫ // Symmetry, Integrability and Geometry: Methods and Applications

SIGMA, 2012, том 8, 025, 15 стр. (Mi sigma702)

Deformed $\mathfrak{su}(1,1)$ algebra as a model for quantum oscillators
Elchin I. Jafarov, Neli I. Stoilova, Joris Van der Jeugt

Эта публикация цитируется в следующих статьяx:
  1. V. Avramov, H. Dimov, M. Radomirov, R. C. Rashkov, T. Vetsov, “On Complexity and Supersymmetry”, Phys. Part. Nuclei Lett., 22:6 (2025), 1369  crossref
  2. Sami Ghazouani, “Algebraic approach to the Dunkl–Coulomb problem and Dunkl oscillator in arbitrary dimensions”, Anal.Math.Phys., 11:1 (2021)  crossref
  3. Tierz M., Phys. Rev. D, 93:12 (2016), 126003  crossref  mathscinet  isi  elib  scopus
  4. A Marzuoli, F A Raffa, M Rasetti, “Where do bosons actually belong?”, J. Phys. A: Math. Theor., 47:27 (2014), 275202  crossref
  5. Genest V.X. Ismail M.E.H. Vinet L. Zhedanov A., “The Dunkl Oscillator in the Plane: I. Superintegrability, Separated Wavefunctions and Overlap Coefficients”, J. Phys. A-Math. Theor., 46:14 (2013), 145201  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
  6. Genest V.X., Vinet L., Zhedanov A., “The Algebra of Dual-1 Hahn Polynomials and the Clebsch–Gordan Problem of Sl(-1)(2)”, J. Math. Phys., 54:2 (2013), 023506  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
  7. Roychoudhury R., Roy B., Dube P.P., “Non-Hermitian Oscillator and R-Deformed Heisenberg Algebra”, J. Math. Phys., 54:1 (2013), 012104  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
  8. Jafarov E.I., Van der Jeugt J., “The Oscillator Model for the Lie Superalgebra Sh(2 Vertical Bar 2) and Charlier Polynomials”, J. Math. Phys., 54:10 (2013), 103506  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
  9. Genest V.X. Vinet L. Zhedanov A., “The Singular and the 2:1 Anisotropic Dunkl Oscillators in the Plane”, J. Phys. A-Math. Theor., 46:32 (2013), 325201  crossref  mathscinet  zmath  isi  elib  scopus
  10. Jafarov E.I., Van der Jeugt J., “Discrete Series Representations for Sic (2 Vertical Bar 1), Meixner Polynomials and Oscillator Models”, J. Phys. A-Math. Theor., 45:48 (2012), 485201  crossref  mathscinet  zmath  isi  elib  scopus


© МИАН, 2026