Simple and surprisingly accurate approach to the chemical bond obtained from dimensional scaling

Physical Review Letters

Volumn 95, Issue 8, 2005, Pages

  Svidzinsky, Anatoly A ^a,b   Scully, Marlan O ^a,b,c   Herschbach, Dudley R ^d  

^a PRINCETON UNIVERSITY   (United States)

^b TEXAS A AND M UNIVERSITY   (United States)

^c MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

^d HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SCALING TRANSFORMATION; SCHRÖDINGER EQUATION;

GROUND STATE; HYDROGEN; MATHEMATICAL MODELS; MOLECULAR DYNAMICS;

CHEMICAL BONDS;

EID: 27144500687     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.95.080401     Document Type: Article

References (23)

1. H.F. Schaefer, Quantum Chemistry: The Development of abinitio Methods in Molecular Electronic Structure Theory (Clarendon Press, Oxford, 1984).
2. R.G. Parr and W. Yang, Density-Functional Theory of Atoms and Molecules (Clarendon Press, Oxford, 1989).
3. C. Leichtle, W.P. Schleich, I.Sh. Averbukh, and M. Shapiro, Phys. Rev. Lett. 80, 1418 (1998); PRLTAO 0031-9007 10.1103/PhysRevLett.80.1418
4. K.A. Nelson and L.R. Williams, Phys. Rev. Lett. 58, 745 (1987); PRLTAO 0031-9007 10.1103/PhysRevLett.58.745
5. J.P. Barnes and W.S. Warren, Phys. Rev. Lett. 85, 856 (2000); PRLTAO 0031-9007 10.1103/PhysRevLett.85.856
6. J.L. Kinsey and B.R. Johnson, J. Phys. Chem. A 102, 9660 (1998); JPCAFH 1089-5639 10.1021/jp9826219
7. K. Ohmori, Y. Sato, E.E. Nikitin, and S.A. Rice, Phys. Rev. Lett. 91, 243003 (2003); PRLTAO 0031-9007 10.1103/PhysRevLett.91.243003
8. V.S. Batista and P. Brumer, Phys. Rev. Lett. 89, 143201 (2002); PRLTAO 0031-9007 10.1103/PhysRevLett.89.143201
9. F. Sun, G.P. Glass, and R.F. Curl, Chem. Phys. Lett. 337, 72 (2001). CHPLBC 0009-2614 10.1016/S0009-2614(01)00149-X
10. R.S. Berry, in Intramolecular Dynamics, edited by, J. Jortner, and, B. Pullman, (Reidel, Dordrecht, 1982), pp. 29-52;
11. R.S. Berry and J. Krause, in Evolution of Size Effects in Chemical Dynamics, Advances in Chemical Physics Vol. 70 (1988), Pt., pp. 35-51.
12. D.R. Herschbach, J. Chem. Phys. 84, 838 (1986). JCPSA6 0021-9606 10.1063/1.450584
13. J.G. Loeser, J. Chem. Phys. 86, 5635 (1987). JCPSA6 0021-9606 10.1063/1.452540
14. Dimensional Scaling in Chemical Physics edited by, D.R. Herschbach, J.S. Avery, and, O. Goscinski, (Kluwer Academic Publishers, Dordrecht, 1992).
15. D.D. Frantz and D.R. Herschbach, Chem. Phys. CMPHC2 0301-0104 126, 59 (1988). 10.1016/0301-0104(88)85020-1
16. E. Witten, Phys. Today 33, No. 7, 38 (1980). PHTOAD 0031-9228
17. D.Z. Goodson, M. López-Cabrera, D.R. Herschbach, and J.D. Morgan III, J. Chem. Phys. 97, 8481 (1992); JCPSA6 0021-9606 10.1063/1.463419
18. M. López-Cabrera, D.Z. Goodson, D.R. Herschbach, and J.D. Morgan III, Phys. Rev. Lett. 68, 1992 (1992). PRLTAO 0031-9007 10.1103/PhysRevLett.68. 1992
19. N. Bohr, Philos. Mag. PHMAA4 0031-8086 26, 1 (1913);
20. N. Bohr Philos. Mag. PHMAA4 0031-8086 26, 476 (1913);
21. N. Bohr Philos. Mag. PHMAA4 0031-8086 26, 857 (1913).
22. W. Heitler and F. London, Z. Phys. ZEPYAA 0044-3328 44, 455 (1927). 10.1007/BF01397394
23. Q. Shi, S. Kais, F. Remacle, and R.D. Levine, Chem. Phys. Chem. 2, 434 (2001). CPCHFT 1439-4235 10.1002/1439-7641(20010716)2:7<434::AID- CPHC434>3.3.CO;2-A