Classical kinetic energy, quantum fluctuation terms and kinetic-energy functionals

Theoretical Chemistry Accounts

Volumn 118, Issue 2, 2007, Pages 407-415

  Hamilton, I P ^a   Mosna, Ricardo A ^b   Site, L Delle ^c  

^a WILFRID LAURIER UNIVERSITY   (Canada)

^b UNIVERSITY OF CAMPINAS   (Brazil)

^c MAX PLANCK INSTITUTE FOR POLYMER RESEARCH   (Germany)

Author keywords

Classical kinetic functional; Dequantization; Fisher information theory; Kinetic energy functionals; Nelson's stochastic mechanics; Quantum fluctuations

Indexed keywords

EID: 34547231071     PISSN: 1432881X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00214-007-0279-5     Document Type: Article

References (63)

1. Parr RG and Yang W (1989). Density functional theory of atoms and molecules. Oxford University Press, New York
2. Dreizler RM and Gross EKU (1990). Density functional theory: an approach to the quantum many body problem. Springer, Berlin
3. Koch W and Holthausen MC (2000). A chemist's guide to density functional theory. Wiley-VCH, Weinheim
4. Nelson E (1966). Phys Rev 150: 1079
5. Nelson E (1967). Dynamical theories of Brownian motion. Princeton University Press, Princeton
6. Fényes I (1952). Z Physik 132: 81
7. Weizel W (1953). Z Physik 134: 264
8. Weizel W (1953). Z Physik 135: 270
9. Weizel W (1954). Z Physik 136: 582
10. Mosna RA, Hamilton IP and Delle Site L (2006). J Phys A 39: L229 quantph/0511068
11. Thomas LH (1927). Proc Camb Philos Soc 23: 542
12. Fermi E (1927). Rend Accad Lincei 6: 602
13. v Weizsäcker CF (1935). Z Phys 96: 431
14. March NH and Young WH (1958). Proc Phys Soc 72: 182
15. Acharya PK, Bartolotti LJ, Sears SB and Parr RG (1980). Proc Nat Acad Sci 77: 6978
16. Gázquez JL and Ludeña EV (1981). Chem Phys Lett 83: 145
17. Gázquez JL and Robles J (1982). J Chem Phys 76: 1467
18. Acharya PK (1983). J Chem Phys 78: 2101
19. Kompaneets AS and Pavlovski ES (1957). Sov Phys JETP 4: 328
20. Kirzhnits PA (1957). Sov Phys JETP 5: 64
21. Yang W (1986). Phys Rev A 34: 4575
22. Herring C (1986). Phys Rev A 34: 2614
23. Dirac PAM (1930). Proc Camb Philos Soc 26: 376
24. Spruch L (1991). Rev Mod Phys 63: 151
25. Scott JMC (1952). Philos Mag 43: 859
26. Fisher RA (1925). Proc Camb Philos Soc 22: 700
27. Nagy A (2003). J Chem Phys 119: 9401
28. Hohenberg P and Kohn W (1964). Phys Rev 136: B864
29. Kohn W and Sham LJ (1965). Phys Rev 140: A1133
30. Chan GK, Cohen AJ and Handy NC (2001). J Chem Phys 114: 631
31. Iyengar SS, Ernzerhof M, Maximoff SN and Scuseria GE (2001). Phys Rev A 63: 052508
32. Tran F and Wesołowski TA (2002). Chem Phys Lett 360: 209
33. Sim E, Larkin J, Burke K and Bock CW (2003). J Chem Phys 118: 8140
34. Jiang H and Yang WT (2004). J Chem Phys 121: 2030
35. Chai JD and Weeks JA (2004). J Phys Chem B 108: 6870
36. Blanc X and Cances E (2005). J Chem Phys 122: 214106
37. Ovchinnikov IV, Neuhauser D (2006) J Chem Phys 124:024105
38. Zhou B and Wang YA (2006). J Chem Phys 124: 081107
39. Mosna RA, Hamilton IP, Delle Site L (2005) J Phys A 38:3869 quant-ph/0504124
40. Goldstein H (1980). Classical mechanics. Addison-Wesley, Reading
41. Holland PR (1993). The quantum theory of motion. Cambridge University Press, Cambridge
42. Sears SB, Parr RG and Dinur U (1980). Isr J Chem 19: 165
43. Miao MS (2001). J Phys A 34: 8171
44. Ayers PW (2005). J Math Phys 46: 062107
45. Delle Site L (2006). J Phys A 39: 3047
46. Gadre SR (1991). Adv Quantum Chem 22: 1
47. Romera E and Dehesa JS (1994). Phys Rev A 50: 256
48. Shannon CE (1948). Bell Syst Tech J 27: 623
49. Romera E and Dehesa JS (2004). J Chem Phys 120: 8906
50. Sagar RP and Guevara NL (2005). J Chem Phys 123: 044108
51. Ghosh SK and Deb BM (1982). Phys Rep 92: 1
52. Luo S (2002). J Phys A 35: 5181
53. Delle Site L (2005). J Phys A 38: 7893
54. Jensen JHD and Luttinger JM (1952). Phys Rev 86: 907
55. Oliphant TA Jr (1956). Phys Rev 104: 954
56. Hellman H (1936). Acta Physicochem USSR 4: 225
57. Kemister G and Nordholm S (1982). J Chem Phys 76: 5043
58. Englert B-G and Schwinger J (1984). Phys Rev A 29: 2339
59. Englert B-G and Schwinger J (1985). Phys Rev A 32: 47
60. Herring C and Chopra M (1988). Phys Rev A 37: 31
61. Lacks DJ and Gordon RG (1994). J Chem Phys 100: 4446
62. García-González P, Alvarellos JE and Chacón E (1996). Phys Rev A 54: 1897
63. March NH (2003). Int J Quantum Chem 92:1