Whittaker-hill equation, ince polynomials, and molecular torsional modes

International Journal of Quantum Chemistry

Volumn 110, Issue 3, 2010, Pages 716-730

  Roncaratti, Luiz F ^a   Aquilanti, Vincenzo ^a  

^a UNIVERSITY OF PERUGIA   (Italy)

Author keywords

Finite solutions; Hydrogen peroxide; Periodic potentials; Schrodinger equation

Indexed keywords

FINITE SOLUTIONS; FLEXIBLE MOLECULES; HILL EQUATION; MATHIEU EQUATION; PERIODIC POTENTIALS; POLYNOMIAL SOLUTION; QUANTUM MECHANICS; TORSIONAL MODES; TORSIONAL MOTION;

EQUATIONS OF MOTION; HYDROGEN PEROXIDE; OXIDATION;

SCHRODINGER EQUATION;

EID: 73549121947     PISSN: 00207608     EISSN: 1097461X     Source Type: Journal    
DOI: 10.1002/qua.22255     Document Type: Article

References (27)

1. Arscott, F. M. Periodic Diffrential Equations; Macmillan: New York, 1964.
2. Magnus, W.; Winkler, S. Hill's Equation; Wiley: New York, 1966.
3. Whittaker, E. T.; Watson, G. N. A Course of Modem Analysis; University Press: Cambridge, 1927.
4. Ince, E. L. Ordinary Differential Equations; Dover: New York, 1944.
5. Abramowitz, M.; Stegun, I. A. Handbook of Mathematical Functions; Dover: New York, 1964.
6. Gutiérrez-Vega, J. C.; Rodríguez-Dagnino, R. M.; Meneses-Nava, M. A.; Chávez-Cerda, S. Am J Phys 2002, 71,233.
7. Carver, T. R. Am J Phys 1971,39,1225.
8. Aldrovandi, R.; Leal Ferreira, P. Am J Phys 1980, 48, 660.
9. Baker, G. L.; Blackburn, J. A.; Smith, H. J. T. Am J Phys 2002, 70,525.
10. Paul, W. Rev Mod Phys 1990, 62,531.
11. Aquilanti, V.; Cavalli, S.; Grossi, G. Chem Phys Lett 1984,110, 43.
12. Aquilanti, V.; Cavalli, S.; Grossi, G. In Fundamental Processes in Atomic Collision Physics; Kleinpoppen, H., Eds.; Plenum Press: New York, 1985; pp 757-764.
13. Aquilanti, V.; Cavalli, S.; Grossi, G. Chem Phys Lett 1987,133, 531.
14. Aquilanti, V.; Cavalli, S. Chem Phys Lett 1987,133,538.
15. Aquilanti, V.; Cavalli S.; Grossi, G. Theor Chim Acta 1989, 75, 33.
16. Arscott, F. M. Proc R Soc Edinburgh A1967, 67,265.
17. Hunt, R. H.; Leacock, R. A.; Peters, C. W; Hecht, K. T. J Chem Phys 1965,42,1931.
18. Bitencourt, A. C. P.; Ragni, M.; Maciel, G. S.; Aquilanti, V.; Prudente, F. V. J Chem Phys 2008,129,154316.
19. Maciel, G. S.; Ragni, M.; Bitencourt, A. C. P.; Aquilanti, V.; Prudente, F. V. J Phys Chem A 2009,113,3804.
20. Urwin, K. M.; Arscott, F. M. Proc R Soc Edinburgh A1970,69, 28.
21. Razavy, M. Am J Phys 1980,48,285.
22. Djakov, P.; Mityagin, B. S. J Approx Theory 2005,135,70.
23. Finkel, F.; González-López, A.; Rodríguez, M. A. J Phys A1999, 32,6821.
24. Smith, B.; Boyle, J.; Dongarra, J.; Garbow, B.; Ikebe, Y.; Klema, V.; Moler, C. EISPACK Guide, Lecture Notes in Computer Science; Springer Verlag: Heidelberg, 1976; Vol.6.
25. Ince, E. L. Proc Lond Math Soc 1923,23, 56.
26. Maciel, G. S.; Bitencourt, A. C. R.; Ragni, M.; Aquilanti, V. Int J Quantum Chem 2007,107,2697.
27. Penney, W. G.; Sutherland, G. B. B. M. J Chem Phys 1934, 2, 492.