New solvable and quasiexactly solvable periodic potentials

Journal of Mathematical Physics

Volumn 40, Issue 11, 1999, Pages 5473-5494

  Khare, Avinash ^a   Sukhatme, Uday ^b  

^a INSTITUTE OF PHYSICS   (India)

^b UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033240062     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.533040     Document Type: Article

References (14)

1. 2.
2. F. M. Arscott, Periodic Differential Equations (Pergamon, Oxford, 1981); E. T. Whittaker and G. N. Watson, A Course of Modern Analysis (Cambridge University Press, Cambridge, 1980).
3. F. M. Arscott, Periodic Differential Equations (Pergamon, Oxford, 1981); E. T. Whittaker and G. N. Watson, A Course of Modern Analysis (Cambridge University Press, Cambridge, 1980).
4. W. Magnus and S. Winkler, Hill's Equation (Wiley, New York, 1966).
5. See, e.g., F. Cooper, A. Khare, and U. P. Sukhatme, Phys. Rep. 251, 267 (1995).
6. G. Dunne and J. Feinberg, Phys. Rev. D 57, 1271 (1998).
7. G. Dunne and J. Mannix, Phys. Lett. B 428, 115 (1998).
8. H. Braden and A. Macfarlane, J. Phys. A 18, 3151 (1995).
9. Y. Brihaye and M. Godart, J. Math. Phys. 34, 5283 (1993); Y. Brihaye and S. Braibant, ibid. 34, 2107 (1993).
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11. U. Sukhatme and A. Khare, E-print quant-ph/9902072 (1999).
12. A. Turbiner, Commun. Math. Phys. 118, 467 (1988).
13. A. G. Ushveridze, Quasi Exactly Solvable Models in Quantum Mechanics (IOP, Bristol, 1993).
14. Some isolated solutions of the Schrödinger equation for Lamé potentials with half-integer values of a are also known (Ref. 2), but they have certain peculiar features which require further study.