Abstract
For all the confining and partially solvable (so called “quasi-solvable”, QS) Coulomb plus polynomial oscillators H = H [QS] and their small perturbations, quantum inversion amounts to the solution of certain nonlinear (Magyari) algebraic equations. Here, strong perturbations of the form are considered and shown tractable along the same lines.
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References
A. Hautot, Phys. Lett. A 38 (1972) 305;
V. Singh, S. N. Biswas and K. Datta, Phys. Rev. D 18 (1978) 1901
M. Znojil and P. G. L. Leach, J. Math. Phys. 33 (1992) 2785.
E. Magyari, Phys. Lett. A 81 (1981) 116.
G. A. Baker, Jr., Essentials of Padé Approximants ( Academic Press, New York, 1975 ), p. 100.
M. Znojil, J. Phys. A 15 (1982) 2111.
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© 1994 Springer-Verlag Berlin Heidelberg
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Znojil, M. (1994). Re-construction of Polynomial Potentials with a Perturbation-Interpolation Constraint. In: von Geramb, H.V. (eds) Quantum Inversion Theory and Applications. Lecture Notes in Physics, vol 427. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-13969-1_29
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DOI: https://doi.org/10.1007/978-3-662-13969-1_29
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-13971-4
Online ISBN: 978-3-662-13969-1
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