Uniqueness and asymptotic behavior of the local kinetic energy

Chemical Physics Letters

Volumn 258, Issue 1-2, 1996, Pages 30-36

  Yang, Zhong Zhi ^a   Liu, Shubin ^b   Wang, Yan Alexander ^b  

^a LIAONING NORMAL UNIVERSITY   (China)

^b University of North Carolina at Chapel Hill   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030576482     PISSN: 00092614     EISSN: None     Source Type: Journal    
DOI: 10.1016/0009-2614(96)00624-0     Document Type: Article

References (35)

1. [1] P. Hohenberg and W. Kohn, Phys. Rev. 136 (1964) B864.
2. [2] W. Kohn and L.J. Sham, Phys. Rev. 140 (1965) A1133.
3. [3] R.G. Parr and W. Yang, Density-functional theory of atoms and molecules (Oxford Univ. Press, New York, 1989).
4. [4] R.M. Dreizler and E.K.U. Gross, Density functional theory: an approach to the quantum many-Body problem (Springer, Berlin, 1990).
5. [5] L.H. Thomas, Proc. Camb. Phil. Soc. 23 (1927) 542.
6. [6] E. Fermi, Z. Phys. 48 (1928) 73.
7. [7] C.F. von Weizsäcker, Z. Phys. 96 (1935) 431.
8. [8] P.K. Acharya, L.J. Bartolotti, S.B. Sears and R.G. Parr, Proc. Natl. Acad. Sci. USA 77 (1980) 6978.
9. [9] J.L. Gázquew and J. Robles, J. Chem. Phys. 76 (1982) 1467.
10. [10] A.E. DePristo and J.D. Kress, Phys. Rev. A 35 (1986) 438.
11. [11] H. Lee, C. Lee and R.G. Parr, Phys. Rev. A 44 (1991) 768.
12. [12] N.H. March and R. Santamaria, Int. J. Quantum Chem. 39 (1991) 585.
13. [13] D.J. Lacks and R.G. Gordon, J. Chem. Phys. 100 (1994) 4446.
14. [14] S.K. Ghosh, M. Berkowitz and R.G. Parr, Proc. Natl. Acad. Sci. USA 81 (1984) 8028.
15. [15] W. Yang, Phys. Rev. A 34 (1986) 4575.
16. [16] W. Yang, R.G. Parr and C. Lee, Phys. Rev. A 34 (1986) 4586.
17. [17] A. Holas and N.H. March, J. Mol. Struct. (Theochem) 357 (1995) 193.
18. [18] O. Goscinski and P. Lindner, J. Math. Phys. 11 (1970) 1313.
19. [19] B.C. Carlson and J.M. Keller, Phys. Rev. 121 (1961) 659.
20. [20] J. Katriel and E.R. Davidson, Proc. Natl. Acad. Sci. USA 77 (1980) 4403, and references therein.
21. [21] L. Pauling and E.B. Wilson, Jr., Introduction to quantum mechanics with applications to chemistry (McGraw-Hill, New York, 1935).
22. [22] E.C. Kemble, The fundamental principles of quantum mechanics with elementary applications (McGraw-Hill, New York, 1937).
23. [23] I.N. Levine, Quantum chemistry, 4th Ed. (Prentice Hall, Englewood Cliffs, NJ, 1991).
24. [24] J.P. Perdew, R.G. Parr, M. Levy and J.L. Balduz, Jr., Phys. Rev. Lett. 49(1982) 1691.
25. [25] M. Levy, J.P. Perdew and V. Sahni, Phys. Rev. A 30 (1984) 2745.
26. [26] T. Koopmans, Physica 1 (1934) 104.
27. [27] N.C. Handy, M.T. Marron and H.J. Silverstone, Phys. Rev. 180 (1969) 45.
28. [28] P.-O. Löwdin, Phys. Rev. 97 (1955) 1474.
29. [29] M.M. Morrell, R.G. Parr and M. Levy, J. Chem. Phys. 62 (1975) 549.
30. [30] E.R. Davidson, Reduced density matrices in quantum chemistry (Academic Press, New York, 1976).
31. [31] O.W. Day, D.W. Smith and C. Garrod, Int. J. Quantum Chem. Symp. 8 (1974) 501.
32. [32] D.W. Smith and O.W. Day, J. Chem. Phys. 62 (1975) 113.
33. [33] O.W. Day, Jr., Int. J. Quantum Chem. 57 (1996) 391, and references therein.
34. [34] E. Clementi, and E. Roetti, At. Data Nucl. Data Tables 14 (1974) 117.
35. [35] Á. Nagy, R.G. Parr and S. Liu, Phys. Rev. A 53 (1996) 3117.