Kress J; Schöbel K; Vollmer A, 2020, 'Algebraic Conditions for Conformal Superintegrability in Arbitrary
Dimension', , http://arxiv.org/abs/2006.15696v2
Journal articles | 2019
Kress J; Schöbel K, 2019, 'An algebraic geometric classification of superintegrable systems in the Euclidean plane', Journal of Pure and Applied Algebra, 223, pp. 1728 - 1752, http://dx.doi.org/10.1016/j.jpaa.2018.07.005
Journal articles | 2015
Capel JJ; Kress JM; Post S, 2015, 'Invariant Classification and Limits of Maximally Superintegrable Systems in 3D', Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 11, http://dx.doi.org/10.3842/SIGMA.2015.038
Journal articles | 2014
Capel JJ; Kress JM, 2014, 'Invariant classification of second-order conformally flat superintegrable systems', Journal of Physics A: Mathematical and Theoretical, 47, http://dx.doi.org/10.1088/1751-8113/47/49/495202
Journal articles | 2013
Kalnins EG; Kress JM; Miller JW, 2013, 'Extended Kepler-Coulomb quantum superintegrable systems in three dimensions', JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 46, pp. Article 085206 (28pp), http://dx.doi.org/10.1088/1751-8113/46/8/085206
Journal articles | 2011
Kalnins EG; Kress JM; Miller JW; Post S, 2011, 'Laplace-type equations as conformal superintegrable systems', Advances in Applied Mathematics, 46, pp. 396 - 416, http://dx.doi.org/10.1016/j.aam.2009.11.014
Journal articles | 2011
Kalnins EG; Kress JM; Miller JW, 2011, 'A recurrence relation approach to higher order quantum superintegrability', Symmetry, Integrability and Geometry - Methods and Applications, 7, pp. 031 (24pp), http://dx.doi.org/10.3842/SIGMA.2011.031
Journal articles | 2010
Kalnins EG; Kress JM; Miller JW; Nystrom F, 2010, 'Superintegrability and higher order integrals for quantum systems', JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 43, pp. 265205 (21pp), http://dx.doi.org/10.1088/1751-8113/43/26/265205
Journal articles | 2010
Kalnins EG; Kress JM; Miller JW, 2010, 'Families of classical subgroup separable superintegrable systems', JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 43, pp. 092001 (8pp), http://dx.doi.org/10.1088/1751-8113/43/9/092001
Journal articles | 2010
Kalnins EG; Kress JM; Miller JW, 2010, 'Tools for verifying classical and quantum superintegrability', Symmetry, Integrability and Geometry - Methods and Applications, 6, pp. 066 (23 pages), http://dx.doi.org/10.3842/SIGMA.2010.066
Journal articles | 2010
Kalnins EG; Kress JM; Miller W, 2010, 'Tools for verifying classical and quantum superintegrability', Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 6, http://dx.doi.org/10.3842/SIGMA.2010.066
Journal articles | 2009
Kalnins EG; Kress JM; Miller W; Post S, 2009, 'Structure theory for second order 2D superintegrable systems with 1-parameter potentials', Symmetry, Integrability and Geometry - Methods and Applications, 5, pp. 1 - 24, http://dx.doi.org/10.3842/SIGMA.2009.008
Journal articles | 2009
Kalnins EG; Kress JM; Miller W; Post S, 2009, 'Structure theory for second order 2D superintegrable systems with 1-parameter potentials', Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 5, http://dx.doi.org/10.3842/SIGMA.2009.008
Journal articles | 2007
Kalnins EG; Kress JM; Miller JW, 2007, 'Nondegenerate three-dimensional complex Euclidean superintegrable systems and algebraic varieties', Journal of mathematical physics, 48, pp. 113518-1 - 113518-26, http://dx.doi.org/10.1063/1.2817821
Journal articles | 2007
Kalnins EG; Kress JM; Miller W, 2007, 'Nondegenerate 2D complex Euclidean superintegrable systems and algebraic varieties', Journal of Physics A: Mathematical and Theoretical, 40, pp. 3399 - 3411, http://dx.doi.org/10.1088/1751-8113/40/13/008
Journal articles | 2007
Kalnins EG; Kress JM; Miller WL; Pogosyan G, 2007, 'Nondegenerate superintegrable systems in n-dimensional Euclidean spaces', Physics of Atomic Nuclei, 70, pp. 545 - 553, http://dx.doi.org/10.1134/S1063778807030143
Journal articles | 2007
Kalnins EG; Kress JM; Miller WL, 2007, 'Fine structure for 3D second-order superintegrable systems: three-parameter potentials', JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 40, pp. 5875 - 5892, http://dx.doi.org/10.1088/1751-8113/40/22/008
Journal articles | 2007
Kalnins EG; Kress JM; Miller WL, 2007, 'Nondegenerate 2D complex Euclidean superintegrable systems and algebraic varieties', JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 40, pp. 3399 - 3411, http://dx.doi.org/10.1063/1.2817821
Miller WL; Kalnins EG; Kress JM, 2007, 'Second-order superintegrable quantum systems', Physics of Atomic Nuclei, 70, pp. 576 - 583, http://dx.doi.org/10.1134/S1063778807030192
Journal articles | 2006
Kalnins EG; Kress JM; Miller WL, 2006, 'Second order superintegrable systems in conformally flat spaces. IV. The classical 3D Stackel transform and 3D classification theory', Journal of mathematical physics, 47, http://dx.doi.org/10.1063/1.2191789
Journal articles | 2006
Kalnins EG; Kress JM; Miller WL, 2006, 'Second-order superintegrable systems in conformally flat spaces. V. Two- and three-dimensional quantum systems', Journal of mathematical physics, 47, http://dx.doi.org/10.1063/1.2337849
Journal articles | 2005
Kalnins EG; Kress JM; Miller JW, 2005, 'Jacobi, ellipsoidal coordinates and superintegrable systems', Journal of Nonlinear Mathematical Physics, 12, pp. 209 - 229, http://dx.doi.org/10.2991/jnmp.2005.12.2.5
Journal articles | 2005
Kalnins EG; Kress JM; Miller JW, 2005, 'Second order superintegrable systems in conformally flat spaces. I. Two-dimensional classical structure theory', Journal of mathematical physics, 46, pp. 53509 - 053537, http://dx.doi.org/10.1063/1.2037567
Journal articles | 2005
Kalnins EG; Kress JM; Miller JW, 2005, 'Second order superintegrable systems in conformally flat spaces. II. The classical two-dimensional Stackel transform', Journal of mathematical physics, 46, pp. 53510 - 053526, http://dx.doi.org/10.1063/1.1894985
Journal articles | 2005
Kalnins EG; Kress JM; Miller JW, 2005, 'Second order superintegrable systems in conformally flat spaces. III. Three-dimensional classical structure theory', Journal of mathematical physics, 46, pp. 103507 - 103534, http://dx.doi.org/10.1063/1.1897183
Journal articles | 2005
Miller WL; Kalnins EG; Kress JM; Pogosyan G, 2005, 'Infinite-order symmetries for quantum separable systems', Physics of Atomic Nuclei, 68, pp. 1756 - 1763, http://dx.doi.org/10.1134/1.2121926
Kalnins EG; Kress JM; Miller JW; Winternitz P, 2003, 'Superintegrable systems in Darboux spaces', Journal of mathematical physics, 44, pp. 5811 - 5848, http://dx.doi.org/10.1063/1.1619580
Journal articles | 2002
Kalnins EG; Kress JM; Miller W; Pogosyan GS, 2002, 'Complete sets of invariants for dynamical systems that admit a separation of variables', Journal of Mathematical Physics, 43, pp. 3592 - 3609, http://dx.doi.org/10.1063/1.1484540
Journal articles | 2002
Kalnins EG; Kress JM; Winternitz P, 2002, 'Superintegrability in a two-dimensional space of nonconstant curvature', Journal of Mathematical Physics, 43, pp. 970 - 983, http://dx.doi.org/10.1063/1.1429322
Journal articles | 2002
Kress JM; Kalnins EG, 2002, 'Multiseparability and superintegrability in three dimensions', Physics of Atomic Nuclei, 65, pp. 1047 - 1051, http://dx.doi.org/10.1134/1.1490109
Journal articles | 2001
Durrant CJ; Kress JM; Wilson PR, 2001, 'The Evolution of Trailing Plumes from Active Regions', Solar Physics: a journal for solar and solar-stellar research and the study of solar terrestrial physics, 201, pp. 57 - 69, http://dx.doi.org/10.1023/A:1010393806958
Journal articles | 2001
Kalnins EG; Kress JM; Pogosyan GS; Miller W, 2001, 'Completeness of superintegrability in two-dimensional constant-curvature spaces', Journal of Physics A: Mathematical and General, 34, pp. 4705 - 4720, http://dx.doi.org/10.1088/0305-4470/34/22/311
Journal articles | 2000
Kress JM; Wilson PR, 2000, 'Simulations of the Polar Field Reversals during Cycle 22', Solar Physics: a journal for solar and solar-stellar research and the study of solar terrestrial physics, 194, pp. 1 - 17, http://dx.doi.org/10.1023/A:1005260808022
Journal articles | 2000
Snodgrass HB; Kress JM; Wilson PR, 2000, 'Observations of the Polar Magnetic Fields During the Polarity Reversals of Cycle 22', Solar Physics: a journal for solar and solar-stellar research and the study of solar terrestrial physics, 191, pp. 1 - 19, http://dx.doi.org/10.1023/A:1005279508869
Journal articles | 1999
Glass EN; Kress J, 1999, 'Solutions of Penrose's equation', Journal of Mathematical Physics, 40, pp. 309 - 317, http://dx.doi.org/10.1063/1.532773
Journal articles | 1999
Kress JM; Wilson PR, 1999, 'The evolution of isolated active regions', Solar Physics: a journal for solar and solar-stellar research and the study of solar terrestrial physics, 189, pp. 147 - 161, http://dx.doi.org/10.1023/A:1005298211915
Journal articles | 1997
Benn IM; Charlton P; Kress J, 1997, 'Debye potentials for Maxwell and Dirac fields from a generalization of the Killing-Yano equation', Journal of Mathematical Physics, 38, pp. 4504 - 4527, http://dx.doi.org/10.1063/1.532140
Journal articles | 1996
Benn IM; Kress J, 1996, 'Force-free fields from Hertz potentials', Journal of Physics A: Mathematical and General, 29, pp. 6295 - 6304, http://dx.doi.org/10.1088/0305-4470/29/19/014
Conference Papers | 2011
Kalnins EG; Kress JM; Miller JW, 2011, 'Structure relations for the symmetry algebras of quantum superintegrable systems', in Journal of Physics: Conference series, IOP Publishing, UK, pp. Article 012075 (12pp), presented at 7th International Conference on Quantum Theory and Symmetries, QTS7, Prague, Czech Republic, 07 August 2011 - 13 August 2011, http://dx.doi.org/10.1088/1742-6596/343/1/012075
Conference Papers | 2007
Benn IM; Kress JM, 2007, 'Differential forms relating twistors to Dirac fields', in Kowalski O; Demeter K; Krupková O; Slovák J(eds.), Differential forms relating twistors to Dirac fields, World Scientific, Palacky University, Olomouc, Czech Republic, pp. 573 - 580, presented at 10th International Conference on Differential Geometry and its Applications, Palacky University, Olomouc, Czech Republic, 27 August 2007 - 31 August 2007, http://dx.doi.org/10.1142/9789812790613_0047
Benn IM; Kress JM, 2004, 'Symmetry operators for the Dirac and Hodge-de`Rham equations', in 9th International Conference on Differential Geometry and its Applications, 9th International Conference on Differential Geometry and its Applications, Prague, Czech Republic, presented at 9th International Conference on Differential Geometry and its Applications, Prague, Czech Republic, 30 August 2004 - 03 September 2004