Exact quantum theory of the harmonic oscillator with the classical solution in the form of Mathieu functions

Journal of the Korean Physical Society

Volumn 40, Issue 6, 2002, Pages 969-973

  Um, C I ^a   Choi, J R ^a   Yeon, K H ^b   George, T F ^c  

^a Korea University   (South Korea)

^b Chungbuk National University   (South Korea)

^c UNIVERSITY OF WISCONSIN STEVENS POINT   (United States)

Author keywords

Exact theory; Harmonic oscillator

Indexed keywords

EID: 0035998215     PISSN: 03744884     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (21)

1. P. Caldirola, Nuovo Cimento 18, 393 (1941); E. Kanai, Prog. Theor. Phys. 3, 440 (1948).
2. P. Caldirola, Nuovo Cimento 18, 393 (1941); E. Kanai, Prog. Theor. Phys. 3, 440 (1948).
3. H.R. Lewis, Jr., Phys. Rev. Lett. 18, 510 (1967); J. Math. Phys. 9, 1976 (1968).
4. H.R. Lewis, Jr., Phys. Rev. Lett. 18, 510 (1967); J. Math. Phys. 9, 1976 (1968).
5. H. Dekker, Phys. Rep. 80, 1 (1981).
6. R.P. Feynman and A.R. Hibbs, Quantum Mechanics and Path Integrals (MCGraw-Hill, New York, 1965).
7. H.R. Lewis, Jr. and W.B. Riesenfeld, J. Math. Phys. 10, 1458 (1969).
8. H. Lutzky, J. Phys. A 74, 294 (1979).
9. J.R. Ray and J.L. Reid, Phys. Lett. A 71, 317 (1979).
10. P.G. Leach, J. Math. Phys. 20, 996 (1979).
11. H.J. Korsch, Phys. Lett. A 74, 294 (1979).
12. C.I. Um, K.H. Yeon and W.H. Kahng, J. Korean Phys. Soc. 19, 1 (1986); J. Phys. A: Math. and Gen. 20, 611 (1987).
13. C.I. Um, K.H. Yeon and W.H. Kahng, J. Korean Phys. Soc. 19, 1 (1986); J. Phys. A: Math. and Gen. 20, 611 (1987).
14. K.H. Yeon, K.K. Lee, C.I. Um, T.F. George and L.N. Pandey, Phys. Rev. A 48, 2716 (1993); Nouvo Cimento, 111B, 963 (1996).
15. K.H. Yeon, K.K. Lee, C.I. Um, T.F. George and L.N. Pandey, Phys. Rev. A 48, 2716 (1993); Nouvo Cimento, 111B, 963 (1996).
16. C.I. Um, I.H. Kim, K.H. Yeon, T.F. George and L.N. Pandey, J. Phys. A: Math. and Gen. 30, 2545 (1997).
17. C.I. Um, S.M. Shin, K.H. Yeon and T.F. George, Phys. Rev. A 58, 1574 (1998); Phys. Rev. A 61, 026103 (2000).
18. C.I. Um, S.M. Shin, K.H. Yeon and T.F. George, Phys. Rev. A 58, 1574 (1998); Phys. Rev. A 61, 026103 (2000).
19. C.I. Um, J.R. Choi and K.H. Yeon, J. Korean Phys. Soc. 37, 162 (2000); ibid 38, 447 (2001); K.H. Yeon, S. Zhang, Y.D. Kim, C.I. Um and T.F. George, Phys. Rev. A 61, 042103 (2000).
20. C.I. Um, J.R. Choi and K.H. Yeon, J. Korean Phys. Soc. 37, 162 (2000); ibid 38, 447 (2001); K.H. Yeon, S. Zhang, Y.D. Kim, C.I. Um and T.F. George, Phys. Rev. A 61, 042103 (2000).
21. C.I. Um, J.R. Choi and K.H. Yeon, J. Korean Phys. Soc. 37, 162 (2000); ibid 38, 447 (2001); K.H. Yeon, S. Zhang, Y.D. Kim, C.I. Um and T.F. George, Phys. Rev. A 61, 042103 (2000).