The shooting method for solving eigenvalue problems

Journal of Mathematical Analysis and Applications

Volumn 203, Issue 2, 1996, Pages 435-450

  Chen, Xi ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030587995     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0389     Document Type: Article

References (11)

1. 1. C. D. Aliprantis and O. Burkinshaw, "Principles of Real Analysis," North-Holland, New York, 1981.
2. 2. D. Grow, A shooting method solution of the two dimensional hydrogen atom, unpublished manuscript.
3. 3. R. H. Cole, "Theory of Ordinary Differential Equations," Appleton-Century-Crofts, New York, 1968.
4. 4. D. Grow et al., Shooting method solutions for the 3-D hydrogen atom and 3-D isotropic harmonic oscillator, unpublished manuscript.
5. 5. K. Eveker et al., The two-dimensional hydrogen atom with a logarithmic potential energy function, Amer. J. Phys. 58 (1990), 1183-1192.
6. 6. F. Gesztesy and L. Pittner, Electrons in logarithmic potentials. I. Solution of the Schödinger equation, J. Phys. A 11 (1978), 679-686.
7. 7. P. Hartman, "Ordinary Differential Equations," Wiley, New York, 1964.
8. 8. T. Myint-U, "Ordinary Differential Equations," North-Holland, New York, 1978.
9. 9. M. Reed and B. Simon, "Methods of Modern Mathematical Physics," Academic Press, New York, 1975.
10. 10. L. I. Schiff, "Quantum Mechanics," 2nd ed., McGraw-Hill, New York, 1955.
11. 11. E. Schrödinger, Quantization as a problem of proper values, Part I, Ann. Physik 79 (1926). [In German]