Research Publications for Ernest G (Ernie) Kalnins

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Publications ByKALNINS, Ernest G (Ernie)

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  • Escobar Ruiz, M. A., Kalnins, E. G., Miller, W., & Subag, E. (2017). Bôcher and abstract contractions of 2nd order quadratic algebras. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 13, 38 pages. doi:10.3842/SIGMA.2017.013

  • Kalnins, E. G., Miller, W., & Subag, E. (2016). Bôcher contractions of conformally superintegrable Laplace equations. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 12, 31 pages. doi:10.3842/SIGMA.2016.038

  • Kalnins, E., Miller, W., & Subag, E. (2016). Laplace equations, conformal superintegrability and bôcher contractions. Acta Polytechnica, 56(3), 214-223. doi:10.14311/AP.2016.56.0214

  • Chen, Y., Kalnins, E. G., Li, Q., & Miller, W. (2015). Examples of complete solvability of 2D classical superintegrable systems. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 11, 51 pages. doi:10.3842/SIGMA.2015.088

  • Heinonen, R., Kalnins, E. G., Miller, W., & Subag, Y. (2015). Structure relations and darboux contractions for 2D 2nd order superintegrable systems. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 11, 33 pages. doi:10.3842/SIGMA.2015.043

  • Kalnins, E. G., & Miller, W. (2014). Quadratic algebra contractions and second-order superintegrable systems. Analysis and Applications, 12(5), 583-612. doi:10.1142/S0219530514500377

  • Kalnins, E. G., Miller Jr, W., & Post, S. (2013). Contractions of 2D 2nd order quantum superintegrable systems and the Askey scheme for hypergeometric orthogonal polynomials. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 9(057), 1-28. doi:10.3842/sigma.2013.057

  • Kalnins, E. G., Kress, J. M., & Miller, W. (2013). Extended Kepler–Coulomb quantum superintegrable systems in three dimensions. Journal Of Physics A: Mathematical And Theoretical, 46(8), 1-28. doi:10.1088/1751-8113/46/8/085206

  • Kalnins, E. G., Kress, J. M., & Miller, W. (2013). Superintegrability in a non-conformally-flat space. Journal of Physics A: Mathematical and Theoretical, 46(2), 1-12. doi:10.1088/1751-8113/46/2/022002

  • Cohl, H. S., & Kalnins, E. G. (2012). Fourier and Gegenbauer expansions for a fundamental solution of the Laplacian in the hyperboloid model of hyperbolic geometry. Journal of Physics A: Mathematical & Theoretical, 45(14), 32 pages. doi:10.1088/1751-8113/45/14/145206

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