Recursion representation of gradient expansion for free fermion ground state in one dimension

Journal of Chemical Physics

Volumn 111, Issue 5, 1999, Pages 1809-1814

  Samaj L ^a,c   Percus, J K ^a,b  

^a NEW YORK UNIVERSITY   (United States)

^b POLYTECHNIC UNIVERSITY   (United States)

^c INSTITUTE OF PHYSICS   (Slovakia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001058682     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.479450     Document Type: Article

References (20)

1. R. G. Parr and W. Yang, Density-Functional Theory of Atoms and Molecules (Oxford University, New York, 1989).
2. N. H. March and A. M. Murray, Proc. R. Soc. London, Ser. A 261, 119 (1961).
3. W. Jones and W. H. Young, J. Phys. C 4, 1322 (1971).
4. C. Herring, Phys. Rev. A 34, 2614 (1986).
5. S. Li and J. K. Percus, J. Math. Phys. 32, 776 (1991).
6. L. H. Thomas, Proc. Cambridge Philos. Soc. 23, 542 (1927); E. Fermi, Rend. Accad. Lin. 6, 602 (1927).
7. L. H. Thomas, Proc. Cambridge Philos. Soc. 23, 542 (1927); E. Fermi, Rend. Accad. Lin. 6, 602 (1927).
8. C. F. von Weizsacker, Z. Phys. 96, 431 (1935).
9. E. H. Lieb, Rev. Mod. Phys. 53, 603 (1981).
10. W. Yang, Phys. Rev. A 34, 4575 (1986).
11. D. A. Kirzhnits, Sov. Phys. JETP 5, 64 (1957).
12. D. R. Murphy, Phys. Rev. A 24, 1682 (1981).
13. B. K. Jennings and R. K. Bhaduri, Nucl. Phys. A 237, 149 (1975).
14. B. Grammaticos and A. Voros, Ann. Phys. (N.Y.) 123, 359 (1979).
15. P. Hohenberg and W. Kohn, Phys. Rev. B 136, 864 (1964).
16. W. Kohn and L. J. Sham, Phys. Rev. A 140, 1133 (1965).
17. J. K. Percus and L. Šamaj, J. Stat. Phys. 77, 421 (1994).
18. J. K. Percus, ACS Symposium Series 629 (American Chemical Society, Washington DC, 1996), p. 186.
19. J. K. Percus, Int. J. Quantum Chem. 69, 573 (1998).
20. R. Courant and D. Hilbert, Methods of Mathematical Physics (Interscience, New York, 1953), p. 355.