The functional delta existence theorem and the reduction of a proof of the Fukui conjecture to that of the special functional asymptotic linearity theorem

Journal of Mathematical Chemistry

Volumn 34, Issue 3-4, 2003, Pages 287-296

  Arimoto, Shigeru ^a  

^a UNIVERSITY OF SASKATCHEWAN   (Canada)

Author keywords

Additivity problems; Asymptotic Linearity Theorem (ALT); Fukui conjecture; Repeat space theory (RST)

Indexed keywords

ARTICLE; CHEMICAL STRUCTURE; ELECTRON; EMPIRICISM; MATHEMATICAL MODEL; THEORETICAL MODEL; THEORETICAL STUDY;

EID: 3543041324     PISSN: 02599791     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:JOMC.0000004075.59536.b9     Document Type: Article

References (20)

1. S. Arimoto, New proof of the Fukui conjecture by the Functional Asymptotic Linearity Theorem, J. Math. Chem. 34 (2003) 259-285.
2. S. Arimoto, M. Spivakovsky, K.F. Taylor and P.G. Mezey, J. Math. Chem., to appear.
3. H. Shingu and T. Fujimoto, Bull. Japan Petroleum Inst. 1 (1959) 11.
4. T. Fujimoto and H. Shingu, Nippon Kagaku Zasshi 82 (1961) 789-794, 794-799, 945-948, 948-955; 83 (1962) 19, 23-30, 359-363, 364-368.
5. T. Fujimoto and H. Shingu, Nippon Kagaku Zasshi 82 (1961) 789-794, 794-799, 945-948, 948-955; 83 (1962) 19, 23-30, 359-363, 364-368.
6. S. Arimoto, M. Spivakovsky, H. Ohno, P. Zizler, K.F. Taylor, T. Yamabe and P.G. Mezey, Int. J. Quant. Chem. 84 (2001) 389.
7. S. Arimoto, M. Spivakovsky, H. Ohno, P. Zizler, R.A. Zuidwijk, K.F. Taylor, T. Yamabe and P.G. Mezey, Int. J. Quant. Chem., accepted for publication.
8. K. Fukui, T. Yonezawa and H. Shingu, J. Chem. Phys. 20 (1952) 722.
9. K. Fukui, T. Yonezawa, C. Nagata and H. Shingu, J. Chem. Phys. 22 (1954) 1433.
10. K. Fukui, T. Yonezawa and C. Nagata, Bull. Chem. Soc. Jpn. 27 (1954) 423.
11. K. Fukui, T. Yonezawa, and C. Nagata, J. Chem. Phys. 21 (1957) 831.
12. K. Fukui, Molecular Orbitals in Chemistry, Physics, and Biology, eds. P.-O. Löwdin and B. Pullman (Academic Press, New York, 1964).
13. K. Fukui, Theory of Orientation and Stereoselection (Springer, Berlin, 1975), and references therein.
14. S. Arimoto, Phys. Lett. 113A (1985) 126.
15. S. Arimoto, K. Fukui, K.F. Taylor and P.G. Mezey, Int. J. Quant. Chem. 67 (1998) 57.
16. S. Arimoto, K. Fukui, P. Zizler, K.F. Taylor and P.G. Mezey, Int. J. Quant. Chem. 74 (1999) 633.
17. S. Arimoto, Phys. Lett. A 124 (1987) 131.
18. S. Arimoto and K.F. Taylor, J. Math. Chem. 13 (1993) 265.
19. S. Arimoto and M. Spivakovsky, J. Math. Chem. 13 (1993) 217.
20. S. Arimoto, M. Spivakovsky and K.F. Taylor, J. Math. Chem. 18 (1995) 169.