Finite elements and the discrete variable representation in nonequilibrium Green's function calculations. Atomic and molecular models

Journal of Physics: Conference Series

Volumn 220, Issue 1, 2010, Pages

  Balzer, Karsten ^a   Bauch, Sebastian ^a   Bonitz, Michael ^a  

^a UNIVERSITY OF KIEL   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

GROUND STATE; HARTREE APPROXIMATION; QUANTUM OPTICS;

COMPLEMENTARY FEATURES; DINGER EQUATION; DISCRETE VARIABLE REPRESENTATION; FINITE ELEMENT-DISCRETE VARIABLE REPRESENTATIONS; GROUND STATE PROPERTIES; NON-EQUILIBRIUM GREEN'S FUNCTION; SECOND BORN APPROXIMATION; SPATIAL DIMENSION;

ATOMS;

EID: 77954675439     PISSN: 17426588     EISSN: 17426596     Source Type: Conference Proceeding    
DOI: 10.1088/1742-6596/220/1/012020     Document Type: Conference Paper

References (55)

1. Stan A etal 2006 Europhys. Lett. 76 298
2. Dahlen N E and R Van Leeuwen 2007 Phys. Rev. Lett. 98 153004
3. Balzer K and M Bonitz 2009 J. Phys. A: Math. Theor. 42 214020
4. Balzer K, M Bonitz, R Van Leeuwen, A Stan and NE Dahlen 2009 Phys. Rev. B 79 245306
5. Myöhänen P, A Stan, G Stefanucci and R Van Leeuwen 2008 Europhys. Lett. 84 67001
6. Thygesen K S 2008 Phys. Rev. Lett. 100 166804
7. Puig M Von Friesen, C Verdozzi and C-O Almbladh 2009 Phys. Rev. Lett. 103 245306
8. Martin P C and J Schwinger 1959 Phys. Rev. 115 1342
9. Keldysh L V 1964 Zh. Eksp. Teor. Fiz. 47 1515
10. Keldysh L V 1965 Sov. Phys. JETP 20 1018
11. Kadanoff L P and G Baym 1962 Quantum Statistical Mechanics (Benjamin, New York)
12. Danielewicz P 1984 Ann. Phys. (NY) 152 305
13. HS Köhler 1995 Phys. Rev. C 51 3232
14. P Boz?ek 1997 Phys. Rev. C 56 1452
15. Kwong N H and M Bonitz 2000 Phys. Rev. Lett. 84 1768
16. Bonitz M, D Kremp, DC Scott, R Binder, WD Kraeft and HS Köhler 1996 J. Phys.: Condens. Matter. 8 6057
17. Semkat D, D Kremp and M Bonitz 1999 Phys. Rev. E 59 1557
18. Semkat D, D Kremp and M Bonitz 2000 J. Math, Phys. 41 7458
19. Binder R, HS Köhler and M Bonitz 1997 Phys. Rev. B 55 5110
20. Kwong N H, M Bonitz, R Binder and S Köhler 1998 phys. stat. sol. (b) 206 197
21. Schäfer W 1996 J. Opt. Soc. Am. B 13 1291
22. Banyai L, H Haug and P Gartner 1998 Eur. Phys. J. B 1 209
23. Gartner P, J Seebeck and F Jahnke 2006 Phys. Rev. B 73 115307
24. Hochstuhl D, K Balzer, S Bauch and M Bonitz 2010 Physica E 42 513
25. Bonitz M, D Hochstuhl, S Bauch and K Balzer 2010 Contrib. Plasma Phys. 50 54
26. Rescigno T N and CW McCurdy 2000 Phys. Rev. A 62 032706
27. Collins L A, S Mazevet, JD Kress, BI Schneider and DL Feder 2004 Physica Scripta T110 408
28. Schneider B I, LA Collins and SX Hu 2006 Phys. Rev. E 73 036708
29. Feist J, R Pazourek, S Nagele, E Persson, BI Schneider, LA Collins and J Burgdörfer 2009 J. Phys. B: At. Mol. Opt. Phys. 42 134014
30. Balzer K, S Bauch and M Bonitz 2010 Phys. Rev. A 81 022510
31. Pindzola M S, DC Griffin and C Bottcher 1991 Phys. Rev. Lett. 66 2305
32. Grobe R and JH Eberly 1993 Phys. Rev. A 48 4664
33. Haan S L, R Grobe and JH Eberly 1994 Phys. Rev. A 50 378
34. Bauer D 1997 Phys. Rev. A 56 3028
35. Liu W-C, JH Eberly, SL Haan and R Grobe 1999 Phys. Rev. Lett. 83 520
36. Dahlen N E and R Van Leeuwen 2001 Phys. Rev. A 64 023405
37. Lein M, EKU Gross and V Engel 2000 Phys. Rev. Lett. 85 4707
38. Zanghellini J, M Kitzler, T Brabec and A Scrinzi 2004 J. Phys. B: At. Mol. Opt. Phys. 37 763
39. Ruggenthaler M, D Bauer 2009 Phys. Rev. Lett. 102 233001
40. Tanner G, K Richter and J-M Rost 2000 Rev. Mod. Phys. 72 497
41. Hochstuhl D and M Bonitz 2009 proceedings of conference "PNGF IV", this issue
42. Kawata I, H Kono, AD Bandrauk 2001 Phys. Rev. A 64 043411
43. Suzuki N, I Kawata and K Yamashita 2007 Chem. Phys. 338 348-353
44. Light J C, IPHamilton and JV Lill 1985 J. Chem. Phys. 82 1400
45. Dahlen N E and R Van Leeuwen 2005 J. Chem. Phys. 122 164102
46. Dahlen N E, A Stan and R Van Leeuwen 2006 J. Phys.: Conf. Ser. 35 324
47. Dahlen N E, R Van Leeuwen and A Stan 2006 J. Phys.: Conf. Ser. 35 340
48. Stan A, NE Dahlen and R Van Leeuwen 2009 J. Chem. Phys. 130 224101
49. Light J C and T Carrington Jr 2007 Adv.Chem. Phys. 114 263
50. The generalization to different numbers of basis functions per element is straightforward, and only slightly alters the matrix elements involved - ref-separator -
51. Manolopoulos D E and RE Wyatt 1988 Chem. Phys. Lett. 152 23
52. ij are symmetric with respect to interchange of i j, and tupels (i, j) (,)
53. Bauch S and M Bonitz 2008 Phys. Rev. A 78 043403
54. Ku W and AG Eguiluz 2002 Phys. Rev. Lett. 89 126401
55. Alexander J D, CR Calvert, RB King, O Kelly, L Graham, WA Bryan, GRAJ Nemeth, WR Newell, CA Froud, ICE Turcu, E Springate, ID Williams and JB Greenwood 2009 J. Phys. B: At. Mol. Opt. Phys. 42 141004