Von Neumann entropies analysis of nanostructures: PAMAM dendrimers of growing generation

Technical Proceedings of the 2008 NSTI Nanotechnology Conference and Trade Show, NSTI-Nanotech, Nanotechnology 2008

Volumn 3, Issue , 2008, Pages 701-704

  Esquivel, Rodolfo O ^a   Flores Gallegos, Nelson ^a   Carrera, Edmundo ^a  

^a DEPARTAMENTO DE QUÍMICA   (Mexico)

Author keywords

An initio calculations; Dendrimers; Entanglement; PAMAM; Quantum information theory

Indexed keywords

AN INITIO CALCULATIONS; CONCEPTUAL FOUNDATIONS; CRITICAL POINTS; DENSITY MATRICES; ENERGY PROFILING; ENTANGLEMENT; GENERATION ZERO; HILBERT; LARGE SYSTEMS; NANO-STRUCTURED; NEUMANN; NON-NUCLEAR ATTRACTORS; PAMAM; PAMAM DENDRIMERS; POLYAMIDOAMINE DENDRIMER; QUANTUM INFORMATION; QUANTUM INFORMATION THEORY; QUANTUM MECHANICS; REAL-SPACE; TETRAMER; TRADE SHOWS;

BANACH SPACES; COMMERCE; DENDRIMERS; ENTROPY; EQUATIONS OF STATE; EXHIBITIONS; HILBERT SPACES; INFORMATION THEORY; KETONES; MECHANICS; MONOMERS; NANOTECHNOLOGY; PHOTONICS; QUANTUM THEORY; SPEED; TECHNOLOGY;

QUANTUM OPTICS;

EID: 52649106897     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (39)

1. Bennett CH; Brassard G; Crépeau C; Josza R; Peres A; Wootters WK Phys Rev Lett, 70, 1895, 1993
2. Moffitt W. Proc. R. Soc. London, Ser. A, 210, 245, 1951
3. Mulliken R. S. J. Chem. Phys., 3, 573, 1955
4. Mulliken R. S. J. Chem. Phys., 23, 1833, 1955
5. Bader R. F. W. An Introduction to the Structure of Atoms and Molecules Clarke, Toronto, 1970.
6. Bader R. F. W. Atoms in Molecules (Oxford, New York, 1994).
7. Bader R. F. W. and T. T. Nguyen-Dang Adv. Quantum Chem., 14, 63, 1981
8. Hirshfeld F. L. Theor. Chim. Acta 44, 129 (1977).
9. R. G. Parr; R. A. Donnelly; M. Levy; and W. E. Palke J. Chem. Phys., 68, 3801, 1978.
10. Parr R. G. Int. J. Quantum Chem., 26, 687, 1984
11. Rychlewski J. and Parr R. G. J. Chem. Phys., 84, 1696, 1986
12. Li L. and R. G. Parr J. Chem. Phys., 84, 1704, 1986
13. Cedillo A.; Chattaraj P. K.; and Parr R. G. Int. J. Quantum Chem., 97, 2959, 2000
14. Ayers P. J. Chem. Phys., ,113, 10886, 2000
15. Esquivel R. O.; Rodriguez A. L.; Sagar R. P.; Ho M.; and Smith, Jr. V. H. Phys. Rev. A, 54, 259, 1996
16. Ramírez J. C.; Soriano C.; Esquivei R. O.; Sagar R. P.; Ho M and Smith, Jr. V. H. Phys. Rev. A, 56, 4477, 1997
17. Ziesche P.; Gunnarsson O.; John W. Phys. Rev. B, 55,10270, 1997
18. Guevara N. L.; Sagar R. P. and Esquivel R.O. Phys. Rev. A, 67,012507, 2003
19. Guevara N. L.; Sagar R. P. and Esquivel R. O. J. Chem. Phys., 122, 084101, 2005
20. Sen K.D.; Antolin J.; and Angulo J.C. Phys. Rev. A, 76, 032502, 2007
21. Sen K.D.; Panos C.P.; Chatsisavvas K. Ch.; and Moustakidis Ch. C. Phys. Lett. A, 364, 286, 2007
22. Esquivel R. O. and Flores-Gallegos N. Phys. Rev. A (to be published)
23. Flores-Gallegos N. and Esquivel R. O. J. Comp. App. Math, (to be published)
24. Carrera E.; Flores-Gallegos N. and Esquivel R. O. J. Chem. Phys. (to be published)
25. M. Ballauff, C.N. Lykos, Angew. Chem. Int. Ed. 43, 2998, 2004
26. Shannon, C. E.; and W. Weaver 1949, The Mathematical Theory of Communication (University of Illinois, Urbana, IL).
27. Einstein, A.;. Podolsky B; and Rosen N. Phys. Rev., 47, 777, 1935
28. Bell, J., Speakable and Unspeakable in Quantum Mechanics 1987 (Cambridge University, Cambridge).
29. von Neumann, J., Mathematical Foundations of Quantum Mechanics, 1955 translated from the German ed. by R. T. Beyer (Princeton University, Princeton).
30. Wehrl, A., Rev. Mod. Phys., 50, 221, 1978
31. Vedral V. Rev Mod. Phys.,74, 197, 2002
32. Lowdin P.O. Adv. Quantum Chem., 5, 185, 1970
33. Reed A.E. and Weinhold F. J. Chem. Phys., 78, 4006, 1983
34. Davidson E.R. J. Chem. Phys., 46, 3320, 1967
35. Reed A.E.;. Weinstock R.B; and Weinhold F. J. Chem. Phys., 83, 735, 1985
36. Bruhn G.; Davidson E.R.; Mayer I.; and Clark A.E., Int. J. Quantum Chem. 106, 2065, 2006
37. E. J. Bylaska, W. A. de Jong, K. Kowalski, T. P. Straatsma, M. Valiev, D. Wang, E. Apra, T. L. Windus, S. Hirata, M. T. Hackler, Y. Zhao, P.-D. Fan, R. J. Harrison, M. Dupuis, D. M. A. Smith, J. Nieplocha, V. Tipparaju, M. Krishnan, A. A. Auer, M. Nooijen, E. Brown, G. Cisneros, G. I. Fann, H. Fruchtl, J. Garza, K. Hirao, R. Kendall, J. A. Nichols, K. Tsemekhman, K. Wolinski, J. Anchell, D. Bernholdt, P. Borowski, T. Clark, D. Clerc, H. Dachsel, M. Deegan, K. Dyall, D. Elwood, E. Glendening, M. Gutowski, A. Hess, J. Jaffe, B. Johnson, J. Ju, R. Kobayashi, R. Kutteh, Z. Lin, R. Littlefield, X. Long, B. Meng, T. Nakajima, S. Niu, L. Pollack, M. Rosing, G. Sandrone, M. Stave, H. Taylor, G. Thomas, J. van Lenthe, A. Wong, and Z. Zhang, "NWChem, A Computational Chemistry Package for Parallel Computers, Version 5.0" (2006), Pacific Northwest National Laboratory, Richland, Washington 99352-0999, USA.
38. NBO 5.0. Glendening E. D.; Badenhoop J, K.; Reed A. E.; Carpenter J. E.; Bohmann J. A.; Morales C. M.; and Weinhold F. Theoretical Chemistry Institute 2001, University of Wisconsin, Madison
39. P.K. Maiti, T Cagin, G. Wang, W.A. Goddard III, Macromolecules 37, 6236, 2004; personal communication.