Física Teórica
Departamento
Niky
Kamran
Publicaciones en las que colabora con Niky Kamran (20)
2013
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A Conjecture on Exceptional Orthogonal Polynomials
Foundations of Computational Mathematics, Vol. 13, Núm. 4, pp. 615-666
2012
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Two-step Darboux transformations and exceptional Laguerre polynomials
Journal of Mathematical Analysis and Applications, Vol. 387, Núm. 1, pp. 410-418
2010
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An extension of Bochner's problem: Exceptional invariant subspaces
Journal of Approximation Theory, Vol. 162, Núm. 5, pp. 987-1006
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Exceptional orthogonal polynomials and the Darboux transformation
Journal of Physics A: Mathematical and Theoretical, Vol. 43, Núm. 43
2009
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An extended class of orthogonal polynomials defined by a Sturm-Liouville problem
Journal of Mathematical Analysis and Applications, Vol. 359, Núm. 1, pp. 352-367
2007
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Quasi-exact solvability beyond the sl(2) algebraization
Physics of Atomic Nuclei, Vol. 70, Núm. 3, pp. 520-528
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Quasi-exact solvability in a general polynomial setting
Inverse Problems, Vol. 23, Núm. 5, pp. 1915-1942
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Structure theorems for linear and non-linear differential operators admitting invariant polynomial subspaces
Discrete and Continuous Dynamical Systems, Vol. 18, Núm. 1, pp. 85-106
2005
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Quasi-exact solvability and the direct approach to invariant subspaces
Journal of Physics A: Mathematical and General, Vol. 38, Núm. 9, pp. 2005-2019
2004
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Reply to comment on 'the Darboux transformation and algebraic deformations of shape-invariant potentials'
Journal of Physics A: Mathematical and General, Vol. 37, Núm. 34, pp. 8405-8406
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Supersymmetry and algebraic Darboux transformations
Journal of Physics A: Mathematical and General
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The Darboux transformation and algebraic deformations of shape-invariant potentials
Journal of Physics A: Mathematical and General, Vol. 37, Núm. 5, pp. 1789-1804
2001
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On the Darboux transformation for the Schrödinger equation
Actas del Octavo Encuentro de Otoño de Geometría y Física: Castillo de la Mota, Medina del Campo (Valladolid), 23, 24 y 25 de septiembre de 1999
1999
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On form-preserving transformations for the time-dependent Schrödinger equation
Journal of Mathematical Physics, Vol. 40, Núm. 7, pp. 3268-3274
1998
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The multidimensional Darboux transformation
Journal of Geometry and Physics, Vol. 26, Núm. 3-4, pp. 202-226
1996
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Real Lie algebras of differential operators and quasi-exactly solvable potentials
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 354, Núm. 1710, pp. 1165-1193
1994
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New quasi-exactly solvable Hamiltonians in two dimensions
Communications in Mathematical Physics, Vol. 159, Núm. 3, pp. 503-537
1993
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Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators
Communications in Mathematical Physics, Vol. 153, Núm. 1, pp. 117-146
1992
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Lie algebras of vector fields in the real plane
Proceedings of the London Mathematical Society, Vol. s3-64, Núm. 2, pp. 339-368
1991
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Quasi-exactly solvable Lie algebras of differential operators in two complex variables
Journal of Physics A: Mathematical and General, Vol. 24, Núm. 17, pp. 3995-4008