Shannon entropies and logarithmic mean excitation energies from cusp- and asymptotic-constrained model densities

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 63, Issue 2, 2001, Pages 1-7

  Sagar, Robin P ^a   Ramírez, Juan Carlos ^a   Esquivel, Rodolfo O ^a   Hô, Minhhuy ^b   Smith Jr , Vedene H ^b  

^a DEPARTAMENTO DE QUÍMICA   (Mexico)

^b QUEEN S UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18344367648     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.63.022509     Document Type: Article

References (33)

1. R. D. Levine, in The Maximum Entropy Formalism, edited by R. D. Levine and M. Tribus (MIT Press, Cambridge, MA, 1979), and references therein.
2. C. E. Shannon, Bell Syst. Tech. J. 27, 379 (1948); reprinted in C. E. Shannon, Claude Elwood Shannon: Collected Papers (IEEE Press, New York, 1993).
3. C. E. Shannon, Bell Syst. Tech. J. 27, 379 (1948); reprinted in C. E. Shannon, Claude Elwood Shannon: Collected Papers (IEEE Press, New York, 1993).
4. S. R. Gadre, S. B. Sears, S. J. Chakravorty, and R. D. Bendale, Phys. Rev. A 32, 2602 (1985).
5. S. R. Gadre and R. D. Bendale, Curr. Sci. 54, 970 (1985).
6. M. Hô, R. P. Sagar, J. Peréz-Jordá, V. H. Smith, Jr., and R. O. Esquivel, Chem. Phys. Lett. 219, 15 (1994).
7. M. Hô, R. P. Sagar, V. H. Smith, Jr., and R. O. Esquivel, J. Phys. B 27, 5149 (1994).
8. M. Hô, R. P. Sagar, H. Schmider, D. F. Weaver, and V. H. Smith, Jr., Int. J. Quantum Chem. 53, 627 (1994).
9. M. Hô, R. P. Sagar, D. F. Weaver, and V. H. Smith, Jr., Int. J. Quantum Chem., Symp. 29, 109 (1995).
10. M. Hô, V. H. Smith, Jr., D. F. Weaver, C. Gatti, R. P. Sagar, and R. O. Esquivel, J. Chem. Phys. 108, 5469 (1998).
11. M. Hô, V. H. Smith, Jr., D. F. Weaver, R. P. Sagar, R. O. Esquivel, and S. Yamamoto, J. Chem. Phys. 109, 10620 (1998).
12. M. Hô, H. L. Schmider, D. F. Weaver, V. H. Smith, Jr., R. P. Sagar, and R. O. Esquivel, Int. J. Quantum Chem. 77, 376 (2000).
13. M. Hô, D. F. Weaver, V. H. Smith, Jr., R. P. Sagar, and R. O. Esquivel, Phys. Rev. A 57, 4512 (1998).
14. V. H. Smith, Jr., Int. J. Quantum Chem., Symp. 23, 553 (1989).
15. M. M. Morrell, R. G. Parr, and M. Levy, J. Chem. Phys. 62, 549 (1975).
16. M. Hoffmann-Ostenhoff and T. Hoffmann-Ostenhoff, Phys. Rev. A 16, 1782 (1977).
17. R. Ahlrichs, M. Hoffmann-Ostenhoff, T. Hoffmann-Ostenhoff, and J. D. Morgan III, Phys. Rev. A 23, 2106 (1981).
18. H. J. Silverstone, Phys. Rev. A 23, 1030 (1981).
19. R. G. Parr and W. Yang, Density Functional Theory of Atoms and Molecules (Oxford, New York, 1989).
20. W. C. Martin and W. L. Wiese, in Atomic, Molecular, and Optical Physics Handbook, edited by G. W. F. Drake (AIP, Woodbury, NY, 1996), pp. 135-153.
21. S. R. Gadre, Phys. Rev. A 30, 620 (1984).
22. T. Kato, Commun. Pure Appl. Math. 10, 151 (1957); E. J. Steiner, J. Chem. Phys. 39, 2365 (1963).
23. T. Kato, Commun. Pure Appl. Math. 10, 151 (1957); E. J. Steiner, J. Chem. Phys. 39, 2365 (1963).
24. R. Benesch and V. H. Smith, Jr., in Wave Mechanics - The First Fifty Years, edited by W. C. Price, S. S. Chissick, and T. Ravensdale (Butterworths, London, 1973), pp. 357-377.
25. A. J. Thakkar, J. Chem. Phys. 86, 5060 (1987).
26. A. J. Thakkar, A. L. Wonfor, and W. A. Pedersen, J. Chem. Phys. 87, 1212 (1987).
27. M. Hô, V. H. Smith, Jr., D. F. Weaver, C. Gatti, R. P. Sagar, and R. O. Esquivel, J. Chem. Phys. 112, 7572 (2000).
28. I. Bialynicki-Birula and J. Mycielski, Commun. Math. Phys. 44, 129 (1975).
29. S. P. Ahlen, Rev. Mod. Phys. 52, 121 (1980).
30. S. Mukherji, Phys. Rev. A 12, 3530 (1975).
31. J. Lindhard and M. Scharff, Mat. Fys. Medd. Dan. Vidensk. Selsk. 27, 15 (1953).
32. J. Lindhard and M. Scharff, Nat. Acad. Sci. Natl. Res. Council Report No. 1133 (1964).
33. M. Inokuti, J. L. Dehmer, T. Baer, and J. D. Hanson, Phys. Rev. A 23, 95 (1981).