Publications
Review Articles
- Superintegrable
Systems, with W. Miller Jr.,
and P. Winternitz. Phys. A: Math.
Theor. 46 423001(2013).
arXiv:1309.2694
Research Articles
- An algebraic interpretation of the multivariate q-Krawtchouk
polynomials, with VX Genest and L. Vinet. The Ramanujan Journal. Fourthcoming. arXiv1508.07770
- Racah Polynomials and Recoupling Schemes of su(1, 1). SIGMA 11
(2015), 057, 17 pages arXiv:1504.03705
- General Nth order integrals of the motion, with P. Winternitz. J.
Phys. A: Math. Theor. 48, 405201(2015). arXiv:1501.00471
- 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
- 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
- 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
- Quantum integrals from coalgebra structure, with D. Riglioni. J
Phys. A: Math. Theor. 48 (7), 075205 (2015) arXiv:1410.4495
- Quantum Perfect State Transfer in a 2D Lattice. Acta
Applicandae Mathematicae 135 (1), 209-224 (2015)
- 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
- 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
- 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
- Lie symmetries and superintegrability, with Clara Nucci. J. Phys. A:
Math. Theor. 45 482001 (2012)
- 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
- 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
- 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
- Third-order
superintegrable systems separable in parabolic coordinates, with I.
Popper and P. Winternitz. J.
Math. Phys. 53, 062105 (2012) arXiv:1204.0700
- Soliton surfaces via
zero-curvature representation of differential equations, with A. M.
Grundland. J. Phys. A
45, 115204 (2012) arXiv:1111.4162v3
- Surfaces immersed in
Lie algebras associated with elliptic integrals, with A. M. Grundland. J. Phys. A.
45, 015204 (2011) arXiv:1106.2080
- Analysis of
CP^{N-1} sigma models via projective structure, with A. M. Grundland. Nonlinearity 25, 1
(2011) arXiv:1010.2183
- 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
- Supersymmetric Quantum
Mechanics with Reflections, with L. Vinet and A. Zhedanov. J. Phys. A.
44, 435301 (2011) arXiv:1107.5844
- 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
- Models of quadratic
algebras generated by superintegrable systems in 2D. SIGMA
7 (2011), 036, 20 pages arXiv:1104.0734
- Soliton surfaces and
generalized symmetries of integrable equations, with A. M. Grundland. J. Phys. A
44 165203 (2011) arXiv: 1102.1874
- 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
- 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
- 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
- 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
- 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.
- 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
- 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
- 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)
- 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
- 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)
- Soliton surfaces
associated with CP^{N-1} sigma models, with A. M. Grundland J. Phys.: Conf. Ser. 380,
012023 (2012) arXiv:1112.2420
- 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
- 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.