Skip to main content
SpringerLink
Log in

Density functional theory of time-dependent phenomena

  • Chapter
  • First Online:
Density Functional Theory II

Part of the book series: Topics in Current Chemistry ((TOPCURRCHEM,volume 181))

Abstract

A density-functional formalism comparable to the theory of Hohenberg, Kohn and Sham is developed for electronic systems subject to time-dependent external fields. The formalism leads to a set of time-dependent Kohn-Sham equations which, in addition to the external potential, contain a time-dependent Hartree term and a local time-dependent exchange-correlation potential. Rigorous properties and explicit approximations of the latter are discussed in detail. Generalizations of the basic formalism to incorporate the nuclear motion and to deal with magnetic effects are described. Within the regime of linear-response theory, the time-dependent Kohn-Sham equations lead to a formally exact representation of the frequency-dependent linear density response. Applications within the linear-response regime include the computation of photoabsorbtion cross sections, the determination of van der Waals forces and the calculation of excitation energies. The latter is based on the fact that the frequency-dependent linear density response has poles at the true excitation energies of the interacting many-body system. The time-dependent Kohn-Sham formalism then leads to a simple additive correction of the Kohn-Sham single-particle excitation energies. Beyond the linear-response regime, the time-dependent Kohn-Sham scheme is applied to atoms in strong femto-second laser pulses to describe multi-photon ionization and harmonic generation in a non-perturbative way.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

9 References

  1. Hohenberg P, Kohn W (1964) Phys Rev 136: B864

    Google Scholar 

  2. Kohn W, Sham LJ (1965) Phys Rev 140: A1133

    Google Scholar 

  3. Parr RG, Yang W (1989) Density-functional theory of atoms and molecules. Oxford University Press, New York

    Google Scholar 

  4. Dreizler RM, Gross EKU (1990) Density functional theory, An approach to the quantum many-body problem. Springer, Berlin Heidelberg, New York

    Google Scholar 

  5. Density functional theory (1995) Vol. 337 of NATO ASI Series B, Gross EKU, Dreizler RM (eds) Plenum Press, New York

    Google Scholar 

  6. Tobias Grabo, Gross EKU (1995) Chem Phys Lett 240: 141; 241: 635(E)

    Article  Google Scholar 

  7. Runge E, Gross EKU (1984) Phys Rev Lett 52: 997

    Article  Google Scholar 

  8. Bloch F (1993) Z Physik 81: 363

    Article  Google Scholar 

  9. Peuckert V (1978) J Phys C 11: 4945

    Google Scholar 

  10. Zangwill A, Soven P (1980) Phys Rev A 21: 1561

    Google Scholar 

  11. Deb BM, Ghosh SK (1982) J Chem Phys 77: 342

    Article  Google Scholar 

  12. Ghosh SK, Deb BM (1982) Chem Phys 71: 295

    Article  Google Scholar 

  13. Ghosh SK, Deb BM (1983) Theoret Chim Acta 62: 209

    Article  Google Scholar 

  14. Ghosh SK, Deb BM (19883) J Mol Struct 103: 163

    Google Scholar 

  15. Bartolotti LJ (1981) Phys Rev A 24: 1661

    Google Scholar 

  16. Bartolotti LJ (1982) Phys Rev A 26: 2243

    Google Scholar 

  17. Bartolotti LJ (1984) J Chem Phys 80: 5687

    Article  Google Scholar 

  18. Bartolotti LJ (1987) Phys Rev A 36: 4492

    Google Scholar 

  19. Gross EKU, Kohn W (1990) Adv Quant Chem 21: 255

    Google Scholar 

  20. Lieb EH (1985) in: Dreizler RM, da Providencia J (eds) Density functional methods in Physics. Plenum, New York

    Google Scholar 

  21. Levy M (1982) Phys Rev A 26: 1200

    Google Scholar 

  22. Levy M (1979) Proc Natl Acad Sci USA 76: 6062

    Google Scholar 

  23. Kohl H, Dreizler RM (1986) Phys Rev Lett 56: 1993

    Article  PubMed  Google Scholar 

  24. Ghosh SK, Dhara AK (1989) Phys Rev A 38: 1149.

    Google Scholar 

  25. Tiszauer D, Kulander KC (1984) Phys Rev A 29: 2909

    Google Scholar 

  26. Errea LF, Méndez L, Riera A, Yáñez M, Hanssen J, Harel C, Salin A (1985) J. Physique 46: 719

    Google Scholar 

  27. Cooper IL, Dickinson AS, Sur SK, Ta CT (1987) J Phys B 20: 2005

    Google Scholar 

  28. Henne A, Lüdde H-J, Toepfer A, Dreizler RM (1987) Phys Lett A 124: 508

    Google Scholar 

  29. Fritsch W, Lin CD (1987) Phys Lett A 123: 128

    Google Scholar 

  30. Reading JF, Ford AL (1987) Phys Rev Lett 58: 543

    Article  PubMed  Google Scholar 

  31. Reading JF, Ford AL (1987) J Phys B 20: 3747

    Google Scholar 

  32. Tang X, Rudolph H, Lambropoulos P (1991) Phys Rev A 44: R6994

    Google Scholar 

  33. Harriman JE (1981) Phys Rev A 24: 680

    Article  Google Scholar 

  34. Zumbach G, Maschke K (1983) Phys Rev A 28: 544; (1984) 29: 1585(E)

    Google Scholar 

  35. Li TC, Tong PQ (1986) Phys Rev A 34: 529

    Google Scholar 

  36. Ullrich CA, Gross EKU, Comments At. Mol. Phys. in press

    Google Scholar 

  37. Perdew JP, Zunger A (1981) Phys Rev B 23: 5048

    Google Scholar 

  38. Theilhaber J (1992) Phys Rev B 46: 12990

    Google Scholar 

  39. Delos JB, Thorson WR, Knudson SK (1972) Phys Rev A 6: 709

    Google Scholar 

  40. Rajagopal AK (1994) Phys Lett A 193: 363

    Google Scholar 

  41. Rajagopal AK, Buot FA (1994) Phys Rev E 50: 721

    Google Scholar 

  42. Rajagopal AK, Buot FA (1995) Phys Rev A 51: 1883

    Google Scholar 

  43. Saalmann U, Schmidt R, to be published

    Google Scholar 

  44. Car R, Parrinello M (1985) Phys Rev Lett 55: 2471

    Article  PubMed  Google Scholar 

  45. Remler DK, Madden PA (1990) Mol Phys 70: 921

    Google Scholar 

  46. Pastore G, Smargiassi E, Buda F (1991) Phys Rev A 44: 6334

    Google Scholar 

  47. Bréchignac C, Cahuzac P, Carlier F, de Frutos M, Barnett RN, Landman U (1994) Phys Rev Lett 72: 1636

    Article  PubMed  Google Scholar 

  48. Barnett RN, Landman U, Nitzan A, Rajagopal G (1991) J Chem Phys 94: 608

    Article  Google Scholar 

  49. Barnett RN, Landman U, Rajagopal G (1991) Phys Rev Lett 22: 3058

    Article  Google Scholar 

  50. Payne MC, Teter MP, Allan DC, Arias TA, Joannopoulos JD (1992) Rev Mod Phys 64: 1045

    Article  Google Scholar 

  51. Schmidt R, Seifert G, Lutz HO (1991) Phys Lett A 158: 231

    Google Scholar 

  52. Seifert G, Schmidt R, Lutz HO (1991) Phys Lett A 158: 237

    Google Scholar 

  53. Schmidt R, Schulte J, Knospe O, Seifert G (1994) Phys Lett A 194: 101

    Google Scholar 

  54. Schulte J, Knospe O, Seifert G, Schmidt R (1995) Phys Lett A 198: 51

    Google Scholar 

  55. Rosker MJ, Rose TS, Zewail AH (1988) Chem Phys Lett 146: 175

    Article  Google Scholar 

  56. Engel V, Metiu H (1989) J Chem Phys 90: 6116

    Article  Google Scholar 

  57. Engel V, Baumert T, Meier Ch, and Gerber G (1993) Z Phys D 28: 37

    Google Scholar 

  58. Femtosecond chemistry, (1995) Manz J, Wöste L (eds) VCH, Weinheim

    Google Scholar 

  59. Liu KL, Vosko SH (1989) Can J Phys 67: 1015

    Google Scholar 

  60. Wacker OJ, Kümmel R, Gross EKU (1984) Phys Rev Lett 73: 2915

    Article  Google Scholar 

  61. Vignale J, Rasolt M (1987) Phys Rev Lett 59: 2360

    Article  PubMed  Google Scholar 

  62. Vignale G, Rasolt M. (1988) Phys Rev B 37: 10685

    Google Scholar 

  63. Erhard S, Gross EKU (1996) Phys Rev A 53: R5

    Google Scholar 

  64. Rajagopal AK, Buot FA (1995) Phys Rev B 52: 6769

    Google Scholar 

  65. Li T, Tong P (1985) Phys Rev A 31: 1950

    Google Scholar 

  66. Li T, Li Y (1985) Phys Rev A 31: 3970

    Google Scholar 

  67. Rajagopal AK, Buot FA (1994) Phys Lett A 195: 312

    Google Scholar 

  68. Rajagopal AK (1994) Phys Rev A 50: 3759

    Google Scholar 

  69. Petersilka M, Gossmann UJ, Gross EKU (1996) Phys Rev Lett 76: 1212

    Article  PubMed  Google Scholar 

  70. Kugler AA (1975) J Stat Phys 12: 35

    Article  Google Scholar 

  71. Gross EKU, Kohn W (1985) Phys Rev Lett 55: 2850; (1986) 57: 923(E)

    Article  PubMed  Google Scholar 

  72. Ando T (1977) Z Phys B 26: 263

    Google Scholar 

  73. Ng TK, Singwi KS (1987) Phys Rev Lett 59: 2627

    Article  PubMed  Google Scholar 

  74. Yang W (1988) Phys Rev A 38: 5512

    Google Scholar 

  75. Ng TK (1989) Phys Rev Lett 62: 2417

    Article  PubMed  Google Scholar 

  76. Ichimaru S (1982) Rev Mod Phys 54: 1017

    Article  Google Scholar 

  77. Gorobchenko VD, EG Maksimov (1980) Sov Phys Usp 23: 35

    Article  Google Scholar 

  78. Singwi KS, Tosi MP (1981) Solid State Physics 36: 177

    Google Scholar 

  79. Ashcroft NW (1995) in: Gross EKU, Dreizler RM (eds) Density functional theory. Vol. 337 of NATO ASI Series B, Plenum Press, New York

    Google Scholar 

  80. Mearns D, Kohn W (1987) Phys Rev A 35: 4796

    Google Scholar 

  81. Gross EKU, Mearns D, Oliveira LN (1988) Phys Rev Lett 61: 1518

    Article  PubMed  Google Scholar 

  82. Ng TK, Singwi KS (1989) Phys Rev Lett 61: 1519

    Article  Google Scholar 

  83. Wloka J (1971) Funktionalanalysis und Anwendungen. de Gruyter, Berlin

    Google Scholar 

  84. Petersilka M, (1993) Diplomarbeit, Universität Würzburg

    Google Scholar 

  85. Wehrum RP, Hermeking H (1974) J Phys C 7: L107

    Google Scholar 

  86. Senatore G, Subbaswamy KR, (1987) Phys Rev A 35: 2440

    Google Scholar 

  87. Gonze X, Vigneron JP (1989) Phys Rev B 39: 13120

    Google Scholar 

  88. Iwamoto N, Gross EKU (1987) Phys Rev B 35: 3003

    Google Scholar 

  89. Ceperley DM (1978) Phys Rev B 18: 3126

    Google Scholar 

  90. Vosko SH, Wilk L, Nusair M (1980) Can J Phys 58: 1200

    Google Scholar 

  91. Holas A (1987) in Rogers FJ, DeWitt HE (eds) Strongly coupled plasma physics. Plenum, New York

    Google Scholar 

  92. Moroni S, Ceperley DM, Senatore G (1995) Phys Rev Lett 75: 689

    Article  PubMed  Google Scholar 

  93. Niklasson G (1974) Phys Rev B 10: 3052

    Google Scholar 

  94. Sturm K (1995) Phys Rev B 52: 8028

    Google Scholar 

  95. Holas A, Singwi KS (1989) Phys Rev B 40: 158

    Google Scholar 

  96. Glick AJ, Long WF (1971) Phys Rev B 4: 3455

    Google Scholar 

  97. Dubois DF, Kivelson MG (1969) Phys Rev 186: 409

    Article  Google Scholar 

  98. Hasegawa M, Watabe M, (1969) J Phys Soc Jap 27: 1393

    Article  Google Scholar 

  99. Iwamoto N (1984) Phys Rev A 30: 2597

    Google Scholar 

  100. Iwamoto N (1984) Phys Rev A 30: 3289

    Google Scholar 

  101. Byrd PF, Friedman MD (1954) Handbook of Elliptic Integrals for Engineers and Physicists. Springer, Berlin

    Google Scholar 

  102. Dabrowski B (1986) Phys Rev B 34: 4989

    Google Scholar 

  103. Liu KL (1991) Can J Phys 69: 573

    Google Scholar 

  104. Jones RO, Gunnarsson O (1989) Rev Mod Phys 61: 689

    Article  Google Scholar 

  105. Görling A, Levy M (1992) Phys Rev A 45: 1509

    Google Scholar 

  106. Kadanoff LP, Martin PC (1963) Ann Phys New York 24: 419

    Article  Google Scholar 

  107. Vignale G (1995) Phys Rev Lett 74: 3233

    Article  PubMed  Google Scholar 

  108. Erhard S (1996) Diplomarbeit, Universität Würzburg

    Google Scholar 

  109. Erhard S, Gross EKU, to be published.

    Google Scholar 

  110. Levy M, Perdew JP (1985) Phys Rev A 32: 2010

    Google Scholar 

  111. Vignale G (1996) Phys Rev B in press.

    Google Scholar 

  112. Dobson JF (1994) Phys Rev Lett 73: 2244

    Article  PubMed  Google Scholar 

  113. Dobson JF in Density Functional Theory, Vol. 337 of NATO ASI Series B, edited by E.K.U. Gross and R.M. Dreizler (Plenum Press, New York, 1995), p. 393

    Google Scholar 

  114. Brey L, Johnson NF, Halperin BI (1989) Phys Rev B 40: 10647

    Google Scholar 

  115. Yip SK (1991) Phys Rev B 43: 1707

    Google Scholar 

  116. Dobson JF, Le H, unpublished

    Google Scholar 

  117. Dobson JF, to be published

    Google Scholar 

  118. Schaich WL Dobson JF (1994) Phys Rev B 49: 14700

    Google Scholar 

  119. Dobson JF (1993) Australian J. Phys. 46: 391

    Google Scholar 

  120. O'Connor AJ (1995) private communication

    Google Scholar 

  121. Bünner M, Diplomarbeit (1992) Universität Würzburg

    Google Scholar 

  122. Bünner M, Dobson JF, Gross EKU, to be published

    Google Scholar 

  123. Galdrikian B, Sherwin M, Birnir B (1994) Phys Rev B 49: 13744

    Google Scholar 

  124. Perdew J (1979) Chem Phys Lett 64: 127

    Article  Google Scholar 

  125. Dobson JF, Rose JH (1982) J Phys C 15: L1183

    Google Scholar 

  126. Dobson JF (1991) J Chem Phys 94: 4328

    Article  Google Scholar 

  127. Dobson JF (1992) J Phys Cond Matter 4: 7877

    Article  Google Scholar 

  128. Dobson JF (1993) J Chem Phys 98: 8870

    Article  Google Scholar 

  129. Heaton RA, Harrison JG, Lin CC (1983) Phys Rev B 28: 5992

    Google Scholar 

  130. Svane A, Gunnarsson O (1990) Phys Rev Lett 65: 1148

    Article  PubMed  Google Scholar 

  131. Szotek Z, Temmerman WM, Winter H (1993) Phys Rev B 47: 4092

    Google Scholar 

  132. Szotek Z, Temmerman WM, Winter H (1994) Phys Rev Lett 72: 1244

    Article  PubMed  Google Scholar 

  133. Sharp RT, Horton GK (1953) Phys Rev 90: 317

    Article  Google Scholar 

  134. Talman JD, Shadwick WF (1976) Phys Rev A 14: 36

    Google Scholar 

  135. Kotani T (1995) Phys Rev Lett 74: 2989

    Article  PubMed  Google Scholar 

  136. Norman MR, Koelling DD (1984) Phys Rev B 30: 5530

    Google Scholar 

  137. Talman JD (1989) Comput Phys Commun 54: 85

    Article  Google Scholar 

  138. Wang Y, Chevary JA, Macdonald LD, Vosko SH (1990) Phys Rev A 41: 78

    Google Scholar 

  139. Engel E, Chevary JA, Macdonald LD, Vosko SH (1992) Z Phys D 23: 7

    Google Scholar 

  140. Engel E, Vosko SH (1993) Phys Rev A 47: 2800

    Google Scholar 

  141. Krieger JB, Li Y, Iafrate GJ (1990) Phys Lett A 146: 256

    Google Scholar 

  142. Krieger JB, Li Y, Iafrate GJ (1990) Phys Lett A 148: 470

    Google Scholar 

  143. Li Y, Krieger JB, Norman MR, Iafrate GJ (1991) Phys Rev B 44: 10437

    Google Scholar 

  144. Krieger JB, Li Y, Iafrate BJ (1992) Int J Quantum Chem 41: 489

    Article  Google Scholar 

  145. Krieger JB, Li Y, Iafrate GJ (1992) Phys Rev A 45: 101

    Google Scholar 

  146. Krieger JB, Li Y, Iafrate GJ (1992) Phys Rev A 46: 5453

    Google Scholar 

  147. Krieger JB, Li Y, Iafrate GJ (1992) Chem Phys Lett 191: 38

    Article  Google Scholar 

  148. Li Y, Krieger JB, Iafrate GJ (1993) Phys Rev A 47: 165

    Google Scholar 

  149. Krieger JB, Li Y, Iafrate GJ (1995) in: Gross EKU, Dreizlu RM (eds) Density functional theory. Vol. 337 of NATO ASI Series B, Plenum Press, New York, p 191

    Google Scholar 

  150. Ullrich CA, Gossmann UJ, Gross EKU (1995) Phys Rev Lett 74: 872

    Article  PubMed  Google Scholar 

  151. Gossmann UJ (1994) Diplomarbeit, Universität Würzburg

    Google Scholar 

  152. Petersilka M, Gossmann UJ, Gross EKU, to be published

    Google Scholar 

  153. Mahan GD, Subbaswamy KR (1990) Local Density Theory of Polarizability. Plenum Press, New York

    Google Scholar 

  154. Zangwill A, Soven P (1980) Phys Rev Lett 45: 204

    Article  Google Scholar 

  155. Zangwill A, Soven P (1981) Phys Rev B 24: 4121

    Google Scholar 

  156. Levine ZH, Soven P (1983) Phys Rev Lett 50: 2074

    Article  Google Scholar 

  157. Levine ZH, Soven P (1984) Phys Rev A 29: 625

    Google Scholar 

  158. Ekardt W (1984) Phys Rev Lett 52: 1925

    Article  Google Scholar 

  159. Puska MJ, Nieminen RM, Manninen M (1985) Phys Rev B 31: 3486

    Google Scholar 

  160. Ekardt W (1985) Phys Rev B 31: 6360

    Google Scholar 

  161. Beck DE (1987) Phys Rev B 35: 7352

    Google Scholar 

  162. Rubio A, Balbás LC, Alonso JA (1992) Phys Rev B 46: 4891

    Google Scholar 

  163. Ekardt W (1985) Phys Rev B 32: 1961

    Google Scholar 

  164. Ekardt W, Penzar Z (1991) Phys Rev B 43: 1322

    Google Scholar 

  165. Alonso JA, Rubio A, Balbás LC, (1994) Phil Mag B 69: 1037

    Google Scholar 

  166. Pacheco JM, Ekardt W (1992) Z Phys D 24: 65

    Google Scholar 

  167. Pacheco JM, Ekardt W (1992) Ann Physik 1: 254

    Google Scholar 

  168. Pacheco JM, Ekardt W (1993) Phys Rev B 47: 6667

    Google Scholar 

  169. Liebsch A (1987) Phys Rev B 36: 7378

    Google Scholar 

  170. Dobson JF, Harris GH (1986) J Phys C 19: 3971

    Google Scholar 

  171. Dobson JF, Harris GH (1987) J Phys C 20: 6127

    Google Scholar 

  172. Dobson JF, Harris GH (1989) J Phys C 21: L729

    Google Scholar 

  173. Gies P, Gerhardts RR (1987) Phys Rev B 36: 4422

    Google Scholar 

  174. Gies P, Gerhardts RR (1988) Phys Rev B 37: 10020

    Google Scholar 

  175. Kempa K, Schaich WL (1988) Phys Rev B 37: 6711

    Google Scholar 

  176. Ando T (1977) Solid State Commun 21: 133

    Article  Google Scholar 

  177. Yi KS, Quinn JJ (1983) Phys Rev B 27: 2396

    Google Scholar 

  178. Wendler L. Grigoryan VG (1989) Solid State Commun 71: 527

    Article  Google Scholar 

  179. Schmitt W (1993) Ph.D. thesis, Universität Würzburg

    Google Scholar 

  180. Levine ZH, Allan DC (1989) Phys Rev Lett 63: 1719

    Article  PubMed  Google Scholar 

  181. Bross H, Belhachemi O, Mekki B, Seoud A (1990) J Phys Condens Matter 2: 3919

    Article  Google Scholar 

  182. Quong AA, Eguiluz AG (1993) Phys Rev Lett 70: 3955

    Article  PubMed  Google Scholar 

  183. Maddocks NE, Godby RW, Needs RJ (1994) Europhys Lett 27: 681

    Google Scholar 

  184. Fleszar A, Quong AA, Eguiluz AG (1995) Phys Rev Lett 74: 590

    Article  PubMed  Google Scholar 

  185. Langhoff PW, Epstein ST, Karplus M (1972) Rev Mod Phys 44: 602

    Article  Google Scholar 

  186. Haensel R, Keitel G, Schreiber P, Kunz C (1969) Phys Rev 188: 1375

    Article  Google Scholar 

  187. Levine ZH (1984) Phys Rev A 30: 1120

    Google Scholar 

  188. Brack M (1993) Rev Mod Phys 65: 677

    Article  Google Scholar 

  189. Przybylski H Borstel G (1984) Solid State Commun 49: 317

    Article  Google Scholar 

  190. Feibelman PJ (1982) Prog Surf Sci 12: 287

    Article  Google Scholar 

  191. Kohn W, unpublished

    Google Scholar 

  192. Lang ND, Kohn W (1973) Phys Rev B 7: 3541

    Google Scholar 

  193. Barton G (1979) Rep Prog Phys 42: 964

    Article  Google Scholar 

  194. Feibelman PJ (1970) Phys Rev B 2: 220

    Google Scholar 

  195. Harris J, Griffin A (1971) Phys Lett A 34: 51

    Google Scholar 

  196. Pines D, (1963) Elementary Excitations in Solids. W.A. Benjamin, New York, fig. 4.4

    Google Scholar 

  197. Tsuei KD et al. (1991) Surf Sci 247: 302

    Article  Google Scholar 

  198. Liebsch A (1985) Phys Rev B 32: 6255

    Google Scholar 

  199. Dobson JF, Harris GH, O'Connor AJ (1988) J Phys Condens Matter 2: 6461

    Article  Google Scholar 

  200. Neilson D, Swierkowski L, Szymanski J, Liu L (1993) Phys Rev Lett 71: 4035

    Article  PubMed  Google Scholar 

  201. Platzman PM, Isaacs ED, Williams H, Zschak P, E. Ice E (1992) Phys Rev B 46: 12943

    Google Scholar 

  202. Schülke W, Schulte-Schrepping H, Schmitz JR (1993) Phys Rev B 47: 12426

    Google Scholar 

  203. Schülke W, Schmitz JR, Schulte-Schrepping H, Kaprolat A (1995) Phys Rev B 52: 11721

    Google Scholar 

  204. Larson BC, Tischler JZ, Isaacs ED, Zschak P, Fleszar A, Eguiluz AG, to be published.

    Google Scholar 

  205. Kuchler M, Rebentrost F (1993) Phys Rev Lett 71: 2662

    Article  PubMed  Google Scholar 

  206. Kuchler M, Rebentrost F, (1994) Phys Rev B 50: 5651

    Google Scholar 

  207. Dal Corso A, Mauri F, Rubio A, to be published

    Google Scholar 

  208. Gunnarsson O, Lundqvist BI, (1976) Phys Rev B 13: 4274

    Google Scholar 

  209. Ziegler T, Rauk A, Baerends EJ (1977) Theoret Chim Acta 43: 261

    Article  Google Scholar 

  210. von Barth U (1979) Phys Rev A 20: 1693

    Google Scholar 

  211. Theophilou A (1979) J Phys C 12: 5419

    Google Scholar 

  212. Hadjisavvas N, Theophilou A (1985) Phys Rev A 32: 720

    Google Scholar 

  213. Kohn W (1986) Phys Rev A 34: 5419

    Google Scholar 

  214. Gross EKU, Oliveira LN, Kohn W (1988) Phys Rev A 37: 2805

    Google Scholar 

  215. Gross EKU, Oliveira LN, Kohn W (1988) Phys Rev A 37: 2809

    Google Scholar 

  216. Oliveira LN, Gross EKU, Kohn W (1988) Phys Rev A 37: 2821

    Google Scholar 

  217. Nagy A (1990) Phys Rev A 42: 4388

    Google Scholar 

  218. Nagy A (1991) J Phys B 24: 4691

    Google Scholar 

  219. Nagy A (1994) Phys Rev A 49: 3074

    Google Scholar 

  220. Nagy A (1995) Int J Quantum Chem Symp 29

    Google Scholar 

  221. Levy M (1995) Phys Rev A 52: R4313

    Google Scholar 

  222. Chattaraj PK, Ghosh SK, Liu S, Parr RG, Int. J. Quant. Chem., in press.

    Google Scholar 

  223. Casida ME, to be published.

    Google Scholar 

  224. Krieger JB, Li Y, Iafrate GJ (1992) Phys Rev A 45: 101

    Google Scholar 

  225. Gross EKU, Petersilka M, Grabo T (1996) in: Ziegler (ed) Density functional methods in Chemistry. American Chemical Society, Washington, DC

    Google Scholar 

  226. Moore CE (1971) Nat Stand Ref Data Ser (US Nat Bur Stand) 35, Vol I II III

    Google Scholar 

  227. Perdew JP, Chevary JA, Vosko SH, Jackson KA, Pederson MR, Singh DJ, Fiolhas C (1992) Phys Rev B 46: 6671

    Google Scholar 

  228. Perez-Jorda JM, Becke AD (1995) Chem Phys Lett 233: 134

    Article  Google Scholar 

  229. Mahanty J, Ninham BW (1976) Dispersion Forces. Academic Press, London

    Google Scholar 

  230. Jeziorski B, Moszynski R, Szalewicz K (1994) Chem Rev 94: 1887

    Article  Google Scholar 

  231. Zaremba E, Kohn W (1976) Phys Rev B 13: 2270

    Google Scholar 

  232. van Gisbergen SJA, Snijders JG, Baerends EJ (1995) J Chem Phys 103: 9347

    Article  Google Scholar 

  233. Pacheco JM, Ekardt W (1993) Mod Phys Lett B 7: 573

    Google Scholar 

  234. Dobson JF, Dinte BP, Phys. Rev. Lett., in press

    Google Scholar 

  235. Andersson Y, Langreth DC, Lundqvist BI (1996) Phys Rev Lett 76: 102

    Article  PubMed  Google Scholar 

  236. Rapcewicz K, Ashcroft NW (1991) Phys Rev B 44: 4032

    Google Scholar 

  237. Zaremba E, Tso HS (1994) Phys Rev B 49; 8147

    Google Scholar 

  238. Harris J, Griffin A (1975) Phys Rev B 11: 3669

    Google Scholar 

  239. Dobson JF (1994) in Topics in Condensed Matter Physics, edited by M.P. Das (Nova, New York)

    Google Scholar 

  240. Atoms in Intense Laser Fields, edited by M. Gavrila (Academic Press, Boston, 1992).

    Google Scholar 

  241. Faisal FHM (1987) Theory of Multiphoton Processes Plenum Press, New York

    Google Scholar 

  242. Ullrich CA, Gossmann UJ, Gross EKU (1995) Ber Bunsenges Phys Chem 99: 488

    Google Scholar 

  243. Ullrich CA, Erhard S, Gross EKU (1996) in Super Intense Laser Atom Physics IV, edited by H.G. Muller (Kluwer, Dordrecht, 1996)

    Google Scholar 

  244. Ullrich CA (1995) Ph.D. thesis. Universität Würzburg

    Google Scholar 

  245. Kulander KC (1987) Phys Rev A 35: 445

    Google Scholar 

  246. Kulander KC (1987) Phys Rev A 36: 2726

    Google Scholar 

  247. L'Huiller A, Lompre LA, Mainfray G, Manus C (1992) in Atoms in Intense Laser Fields, edited by M. Gavrila (Academic Press, Boston, 1992), p 139.

    Google Scholar 

  248. Miyazaki K, Sakai H (1992) J Phys B 25: L83

    Google Scholar 

  249. Eichmann H, Egbert A, Nolte S, Momma C, Wellegehausen B, Becker W, Long S, McIver JK (1995) Phys Rev A 51: R3414

    Google Scholar 

  250. Protopapas M, Sanpera A, Knight PL, Burnett K (1995) Phys Rev A 52: R2527

    Google Scholar 

  251. Kulander KC (1988) Phys Rev A 38: 778

    Google Scholar 

  252. Kulander KC, Shore BW (1990) J Opt Soc Am B 7: 502

    Google Scholar 

  253. Walker B, Sheehy B, DiMauro LF, Agostini P, Schafer KJ, Kulander KC (1994) Phys Rev Lett 73: 1227

    Article  PubMed  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Würzburg, Am Hubland, D-97074, Würzburg, Germany

    E. K. U. Gross & M. Petersilka

  2. School of Science, Griffith University, 4111, Nathan, Queensland, Australia

    J. F. Dobson

Authors
  1. E. K. U. Gross
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. F. Dobson
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. Petersilka
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

R. F. Nalewajski

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer-Verlag

About this chapter

Cite this chapter

Gross, E.K.U., Dobson, J.F., Petersilka, M. (1996). Density functional theory of time-dependent phenomena. In: Nalewajski, R.F. (eds) Density Functional Theory II. Topics in Current Chemistry, vol 181. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0016643

Download citation

  • DOI: https://doi.org/10.1007/BFb0016643

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61092-2

  • Online ISBN: 978-3-540-49946-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation