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A countable set of superintegrable quantum mechanical systems is presented which admit the dynamical symmetry with respect to algebra so(4).
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1986
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N. W. Evans, ”Superintegrability in classical mechanics,” Phys. Rev. A 41, 56665676 (1990)
1990
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J. Beckers, N. Debergh and A. G. Nikitin, ”More on supersymmetries of the Schrödinger equation,” Mod. Phys. Lett. A 7, 16091616 (1992)
1992
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J. Beckers, N. Debergh and A. G. Nikitin, ”More on parasupersymmetries of the Schrödinger equation,” Mod. Phys. Lett. A 8, 435444 (1993)
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Lim Yung-Kuo. Problems and Solutions on Electromagnetism (Singapore: World Scientific, 1993)
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Uri Ben-Yaacov, ”Laplace-Runge-Lenz symmetry in general rotationally symmetric systems,” J. Math. Phys. 51, 122902 (2010); arXiv: 10051817
2010
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E. Ferraro, N. Messina and A. G. Nikitin, ”Exactly solvable relativistic model with the anomalous interaction,” Phys. Rev. A 81, 042108 (2010); arXiv: 0909.5543
2010
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I. Marquette, ”Generalized MICZ-Kepler system, duality, polynomial, and deformed oscillator algebras”, J. Math. Phys. 51, 102105 (2010); arXiv: 1004.4579
2010
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A. G. Nikitin and Y. Karadzhov, ”Matrix superpotentials,” J. Phys. A 44, 305204 (2011); arXiv: 1101.4129
2011
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A. G. Nikitin and Y. Karadzhov, ”Enhanced classification of matrix superpotentials,” J. Phys. A 44, 445202 (2011); arXiv: 1107.2525
2011
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W.I. Fushchich and A. G. Nikitin. Symmetries of Equations of Quantum Mechanics (N.Y., Allerton Press Inc., 1994)
1994
Cited alongside, same era.
J. Beckers, N. Debergh, and A. G. Nikitin, ”On Parasupersymmetries and Relativistic Description for Spin One Particles: II. The interacting context with (electro)magnetic fields,” Fortschritte der Physik 43, 81-95 (1995)
1995
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J. Niederle and A. G. Nikitin, ”Relativistic wave equations for interacting, massive particles with arbitrary half-integer spins,” Physical Review D 64, 125013 (2001); arXiv: 0412213
2001
Cited alongside, same era.
L.Mardoyan, ”The generalized MIC-Kepler system,” J. Math. Phys. 44, 4981 (2003); arXiv: 0306168
2003
Cited alongside, same era.
Winternitz, P., and Yurdusen, I., ”Integrable and superintegrable systems with spin,” J.Math.Phys., 47, 103509 (2006); arXiv: 0604050
2006
Cited alongside, same era.
J. Niederle and A. G. Nikitin, ”Relativistic Coulomb problem for particles with arbitrary half-integer spin,” J. Phys. A: Math. Gen. 39, 10931 (2006); arxiv: 0412214
2006
Cited alongside, same era.
G. P. Pronko, ”Quantum superintegrable systems for arbitrary spin,” J. Phys. A: Math. Theor. 40, 13331 (2007); arXiv: 07060310
2007
Cited alongside, same era.
Later among the works it cites.
J.-F. Désilets, P. Winternitz, and I. Yurdusen, ”Superintegrable systems with spin and second order integrals of motion,” Phys. A 45, 475201 (2012); arXiv: 1208.2886
2012
Later among the works it cites.
A. G. Nikitin, ”Integrability and supersymmetry of Schrödinger-Pauli equations for neutral particles,” J. Math. Phys. 53, 122103 (2012); arXiv: 1204.5902
2012
Later among the works it cites.
A. G. Nikitin, ”New exactly solvable system with Fock symmetry,” J. Phys. A 45, 485204 (2012); arXiv: 1205.3094
2012
Later among the works it cites.
A. G. Nikitin, ”Matrix superpotentials and superintegrable systems for arbitrary spin,” J. Phys. A: Math. Theor. 45, 225205 (2012); arXiv: 1201.4929
2012
Later among the works it cites.
A. G. Nikitin and O. Kuriksha, ”Invariant solutions for equations of axion electrodynamics,” Commun. Nonlinear Sci. Numer. Simulat. 17, 4585-4601, (2012); arXiv: 1002.0064
2012
Later among the works it cites.
A. G. Nikitin and Oksana Kuriksha, ”Symmetries of field equations of axion electrodynamics,” Phys. Rev. D 86, 025010 (2012)
2012
Later among the works it cites.
C. Quesne, ”Novel enlarged shape invariance property and exactly solvable rational extensions of the Rosen-Morse II and Eckart potentials,” SIGMA 8, 080 (2012)
2012
Later among the works it cites.
A. G. Nikitin, ”Superintegrable systems with spin invariant with respect to the rotation group,” J. Phys. A 46, 265204 (2013); arXiv: 1303.1297
2013
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