Publications

Review Articles

  1. Superintegrable Systems, with W. Miller Jr., and P. Winternitz. Phys. A: Math. Theor. 46 423001(2013). arXiv:1309.2694

Research Articles

  1. An algebraic interpretation of the multivariate q-Krawtchouk polynomials, with VX Genest and L. Vinet. The Ramanujan Journal. Fourthcoming. arXiv1508.07770
  2. Racah Polynomials and Recoupling Schemes of su(1, 1). SIGMA 11 (2015), 057, 17 pages arXiv:1504.03705
  3. General Nth order integrals of the motion, with P. Winternitz. J. Phys. A: Math. Theor.  48, 405201(2015). arXiv:1501.00471
  4. Third-order superintegrable systems with potentials satisfying nonlinear equations, with A. Marchesiello, and L. Šnobl.  J. Math. Phys. 56 (10), 102104 (2015). arXiv:1501.00470
  5. Invariant Classification and Limits of Maximally Superintegrable Systems in 3D, with J. Kress and J. Capel. SIGMA 11, 038, 17 pages (2015) arXiv:1501.06601
  6. q-Rotations and Krawtchouk polynomials, with VX Genest, L Vinet, G Yu, and A Zhedanov. The Ramanujan Journal 40 (2), 335-357 (2015). arXiv:1408.5292
  7. Quantum integrals from coalgebra structure, with D. Riglioni. J Phys. A: Math. Theor. 48 (7), 075205 (2015) arXiv:1410.4495
  8. Quantum Perfect State Transfer in a 2D Lattice. Acta Applicandae Mathematicae 135 (1), 209-224 (2015)
  9. Soliton surfaces and generalized symmetries of integrable systems, with A. M. Grundland and D. Riglioni. J. Phys. A: Math. Theor. 47 015201 (2013) arXiv:1302.6887
  10. Contractions of 2D 2nd order quantum superintegrable systems and the Askey scheme for hypergeometric orthogonal polynomials, with E. Kalnins and W. Miller. SIGMA 9 (2013), 057, 28pages, arXiv:1212.4766
  11. A superintegrable finite oscillator in two dimensions with SU(2) symmetry, with H. Miki, L. Vinet and A. Zhedanov. J. Phys. A: Math. Theor. 46 125207 (2013) arXiv:1208.4142
  12. Lie symmetries and superintegrability, with Clara Nucci. J. Phys. A: Math. Theor. 45 482001 (2012)
  13. Infinite families of superintegrable systems separable in subgroup coordinates, with D. Lévesque and P. Winternitz. J. Phys. A: Math. Theor. 45 465204 (2012) arXiv:1207.6976
  14. Families of superintegrable Hamiltonians constructed from exceptional polynomials, with S. Tsujimoto and L. Vinet. J. Phys. A: Math. Theor. 45 405202(2012) arXiv:1206.0480
  15. Soliton surfaces associated with sigma models; differential and algebraic aspects, with P. Goldstein, A. M. Grundland. J. Phys. A. 45, 395208 (2012) arXiv:1207.1340
  16. Third-order superintegrable systems separable in parabolic coordinates, with I. Popper and P. Winternitz. J. Math. Phys. 53, 062105 (2012) arXiv:1204.0700
  17. Soliton surfaces via zero-curvature representation of differential equations, with A. M. Grundland. J. Phys. A 45, 115204 (2012) arXiv:1111.4162v3
  18. Surfaces immersed in Lie algebras associated with elliptic integrals, with A. M. Grundland. J. Phys. A. 45, 015204 (2011) arXiv:1106.2080
  19. Analysis of CP^{N-1} sigma models via projective structure, with A. M. Grundland. Nonlinearity 25, 1 (2011) arXiv:1010.2183
  20. An infinite family of superintegrable Hamiltonians with reflection in the plane., with L. Vinet and A. Zhedanov. J. Phys. A 44, 505201 (2011) arXiv:1108.5208
  21. Supersymmetric Quantum Mechanics with Reflections, with L. Vinet and A. Zhedanov. J. Phys. A. 44, 435301 (2011) arXiv:1107.5844
  22. Two-variable Wilson polynomials and the generic superintegrable system on the 3-sphere, with E. G. Kalnins and W. Miller Jr. SIGMA 7 (2011), 051 arXiv:1010.3032
  23. Models of quadratic algebras generated by superintegrable systems in 2D. SIGMA 7 (2011), 036, 20 pages arXiv:1104.0734
  24. Soliton surfaces and generalized symmetries of integrable equations, with A. M. Grundland. J. Phys. A 44 165203 (2011) arXiv: 1102.1874
  25. A nonseparable quantum superintegrable system in 2D real Euclidean space, with P. Winternitz. J. Phys. A: Math. Theor. Fast track communication 44 162001 (2011) arXiv: 1101.5405
  26. An infinite family of superintegrable deformations of the Coulomb potential, with P. Winternitz. J. Phys. A: Math. Theor. Fast track communication 43 222001 (2010) arXiv:1003.5230
  27. Laplace-type equations as conformal superintegrable systems, with E. G. Kalnins, J. M. Kress, and W. Miller, Jr. Adv. Appl. Math. (Special issue in honor of Dennis Stanton) 6 396-416 (2011) arXiv:0908.4316
  28. Coupling constant metamorphosis and Nth order symmetries in classical and quantum mechanics, with E. G. Kalnins and W. Miller, Jr. J. Phys. A: Math. Theor. 43: 035202. (2010) arXiv:0908.4393
  29. Structure theory for second order 2D superintegrable systems with 1-parameter potentials, with E. G. Kalnins, J. M. Kress, and W. Miller, Jr. SIGMA 5 (2009), 008, 24 pages arXiv:0901.3081.
  30. Models for the 3D singular isotropic oscillator quadratic algebra, with E. G. Kalnins and W. Miller, Jr. Physics of Atomic Nuclei Volume 73, Number 2, 359-366, (2010) PDF
  31. Models of quadratic quantum algebras and their relation to classical superintegrable systems, with E. G. Kalnins and W. Miller, Jr. Physics of Atomic Nuclei, 72, no. 5, 801-808 (2009) PDF
  32. Models for quadratic algebras associated with second order superintegrable Systems in 2D, with E.G. Kalnins and W. Miller, Jr. SIGMA 4, 008, 21 pages (2008)
  33. Wilson polynomials and the generic superintegrable system on the 2-sphere, with E.G. Kalnins and W. Miller, Jr. J. Phys. A: Math. Theor. 40, 11525-11538, (2007)

Conference Proceedings

  1.  A Finite Model of the Oscillator in Two-Dimensions with SU(2) Symmetry, with H. Miki,  L. Vinet and A. Zhedanov. Proceedings of the XXIX
    International Colloquium on Group-Theoretical Methods in Physics.} World Scientific Publishing (Singapore) Eds. C. Bai,
    J-P Gazeau, and M-L Ge {\bf 11} 217 (2012)
  2. Soliton surfaces associated with CP^{N-1} sigma models, with A. M. Grundland J. Phys.: Conf. Ser. 380, 012023 (2012) arXiv:1112.2420
  3. Soliton surfaces associated with symmetries of ODEs written in Lax representation, with A. M. Grundland. J. Phys. A. 45, 015204 (2012) http://dx.doi.org/10.1088/1742-6596/343/1/012044 arXiv:1111.4161
  4. Coupling constant metamorphosis, the Stackel transform and superintegrability. In Symmetries in Nature: Symposium in Memoriam Marcos Moshinsky (Cuernavaca, Mexico, August 9-14, 2010), Ed. by L Benet, PO Hess, JM Torres, and KB Wolf, AIP Conference Proceedings 1323, 265-274 (2011).


Last updated: 12 August 2013
by myself.