By Associate Professor Jonathan Kress

Books

Kalnins EG; Kress J; Miller W, 2018, Separation Variables Superintegrability, IOP Publishing Limited, http://iopscience.iop.org/book/978-0-7503-1314-8

Kalnins EG; Kress JM; Miller W, 2018, Separation of Variables and Superintegrability, IOP Publishing, http://dx.doi.org/10.1088/978-0-7503-1314-8

Journal articles

Kress J; Schöbel K; Vollmer A, 2024, 'Algebraic Conditions for Conformal Superintegrability in Arbitrary Dimension', Communications in Mathematical Physics, 405, http://dx.doi.org/10.1007/s00220-023-04872-w

Konyaev AY; Kress JM; Matveev VS, 2024, 'When a (1,1)-tensor generates separation of variables of a certain metric', Journal of Geometry and Physics, 195, http://dx.doi.org/10.1016/j.geomphys.2023.105031

Kress J; Schöbel K; Vollmer A, 2023, 'An Algebraic Geometric Foundation for a Classification of Second-Order Superintegrable Systems in Arbitrary Dimension', Journal of Geometric Analysis, 33, http://dx.doi.org/10.1007/s12220-023-01413-8

Kress J; Schöbel K; Vollmer A, 2020, 'Algebraic Conditions for Conformal Superintegrability in Arbitrary Dimension', , http://arxiv.org/abs/2006.15696v2

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

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

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

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

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

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

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

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

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

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)

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

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

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

Kress JM, 2007, 'Equivalence of superintegrable systems in two dimensions', Physics of Atomic Nuclei, 70, pp. 560 - 566

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

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

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

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

Miller WL; Kalnins EG; Kress JM, 2007, 'Second-order superintegrable quantum systems', Physics of Atomic Nuclei, 70, pp. 576 - 583

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

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

Miller WL; Kalnins EG; Kress JM; Pogosyan G, 2005, 'Infinite-order symmetries for quantum separable systems', Physics of Atomic Nuclei, 68, pp. 1756 - 1763

Kalnins EG; Kress JM; Miller JW, 2005, 'Jacobi, ellipsoidal coordinates and superintegrable systems', Journal of Nonlinear Mathematical Physics, 12, pp. 209 - 229

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

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

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

Benn IM; Kress JM, 2004, 'First-order Dirac symmetry operators', Classical and Quantum Gravity, 40, pp. 427 - 431

Kalnins EG; Kress JM; Miller JW; Winternitz P, 2003, 'Superintegrable systems in Darboux spaces', Journal of mathematical physics, 44, pp. 5811 - 5848

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

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

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

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

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

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

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

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

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

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

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

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

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

Kalnins EG; Kress JM; Miller JW, 2006, 'Fine structure for second order superintegrable systems', in Symmetries and Overdetermined Systems of Partial Differential Equations, Minneapolis, Minnesita, USA, presented at Symmetries and Overdetermined Systems of Partial Differential Equations, Minneapolis, Minnesita, USA, 17 July 2006 - 04 August 2006

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

Preprints

Kress J; Schöbel K; Vollmer A, 2024, Superintegrable systems on conformal surfaces,

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