Long and short time quantum dynamics: I. between Green's functions and transport equations

Physica E: Low-Dimensional Systems and Nanostructures

Volumn 29, Issue 1-2, 2005, Pages 154-174

  Špička, Václav ^a   Velický, Bedřich ^a,b   Kalvová, Anděla ^a  

^a INSTITUTE OF PHYSICS   (Czech Republic)

^b CHARLES UNIVERSITY   (Czech Republic)

Author keywords

Density Functional Theory; Green functions; Non equilibrium; Quantum transport equations

Indexed keywords

ELECTRON TRANSPORT PROPERTIES; GREEN'S FUNCTION; PROBABILITY DENSITY FUNCTION; THEOREM PROVING;

DENSITY FUNCTIONAL THEORY; NON-EQUILIBRIUM; QUANTUM TRANSPORT EQUATIONS; RECONSTRUCTION THEOREMS;

QUANTUM THEORY;

EID: 25644451864     PISSN: 13869477     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physe.2005.05.014     Document Type: Conference Paper

References (83)

1. V. Špička, B. Velický, A. Kalvová, Long and short time quantum dynamics: II. Kinetic regime, Physica E, these Proceedings (Paper II) DOI:10.1016/j.physe.2005.05.015.
2. V. Špička, B. Velický, A. Kalvová, Long and short time quantum dynamics: III. Transients, Physica E, these Proceedings (Paper III) DOI:10.1016/j.physe.2005.05.016.
3. L. P. Kadanoff G. Baym, Quantum Statistical Mechanics, Benjamin, New York, 1962.
4. P. Danielewicz Ann. Phys. (NY) 152 1984 239
5. J. Rammer, and H. Smith Rev. Mod. Phys. 58 1986 323
6. W. Botermans, and R. Malfliet Phys. Rep. 198 1990 115
7. G.D. Mahan, Many Particle Physics, Plenum Press, New York, 1990.
8. H. Haug, A.P. Jauho, Quantum Kinetics in Transport and Optics of Semiconductors, Springer, Berlin, 1997.
9. M. Bonitz, Quantum Kinetic Theory, Teubner, Stuttgart, 1998.
10. W. Jones, N.H. March, Theoretical Solid State Physics,vol.2: Nonequilibrium and Disorder, Dover, New York, 1985.
11. H. Smith, H.H. Jensen, Transport Phenomena, Clarendon, Oxford, 1989.
12. R.L. Liboff, Kinetic Theory, Classical, Quantum and Relativistic Descriptions, Prentice Hall, London, 1990.
13. V. Špička, and P. Lipavský Phys. Rev. Lett 73 1994 3439
14. V. Špička, and P. Lipavský Phys. Rev. B 29 1995 14615
15. Th. Bornath, D. Kremp, W.D. Kraeft, and M. Schlanges Phys. Rev. B 54 1996 3274
16. G.V. Chester Rep. Prog. Phys. 26 1963 411
17. P. Lipavský, V. Špička, and B. Velický Phys. Rev. B 29 1986 6933
18. A.V. Vinogradov Trudy Fiz. Inst. Im. P.N. Lebedeva 187 1988 117
19. H.Ch. Tso, and N.J.M. Horing Phys. Rev. B 44 1991 1451
20. D. Kremp, Th. Bornath, M. Bonitz, and M. Schlanges Phys. Rev. E 60 1999 4725
21. P.C. Martin, in: M. Bonitz (Ed.), Progress in Non-equilibrium Green's Functions, World Scientific, Singapore, 2000, pp.2.
22. G. Baym, In: M. Bonitz (Ed.), Progress in Non-equilibrium Green's Functions, World Scientific, Singapore, 2000, pp.17.
23. L.V. Keldysh, In: M. Bonitz, D. Semkat (Eds.), Progress in Non-equilibrium Green's Functions II, World Scientific, Singapore, 2003, pp.2
24. L. V. Keldysh, Zh. Exp. Teor. Fiz. 47 (1964) 1515
25. [Sov. Phys. JETP 20, (1965) 1018].
26. E. M. Lifshitz, L. P. Pitaevskii, Physical Kinetics, in: L.D. Landau, E.M. Lifshitz (Eds.) Course of Theoretical Physics vol.10, Pergamon, Oxford, 1981.
27. S. Chapman, T.G. Cowling, The Mathematical Theory of Non-uniform Gases, third ed., Cambridge University Press, Cambridge, 1990.
28. J. O. Hirschfelder, Ch.F. Curtiss, R. B. Bird, Molecular Theory of Gases and Liquids, Wiley, New York, 1964.
29. L. Boltzmann Wien. Akad. Sitzungsber 66 1872 275
30. S. G. Brush, Kinetic Theory, Irreversible Processes, vol. 2: Pergamon, Oxford, 1966.
31. The Boltzmann Equation, Theory and Applications; in: E.G.D Cohen, W. Thirring, (Eds.) Acta Physica Austriaca, Supplementum X, Springer-Verlag, New York, 1973.
32. J. A. McLennan, Introduction to Nonequilibrium Statistical Mechanics, Prentice Hall, Englewood Cliffs, NJ, 1989.
33. R. Balian, From Microphysics to Macrophysics, Methods and Applications of Statistical Physics, vol. II, Springer, Berlin, 1992.
34. N.N. Bogolyubov J. Phys. (USSR) 10 1946 265
35. N. N. Bogolyubov, in: G. Uhlenbeck, J. De Boer (Eds), Studies in Statistical Mechanics, vol.1, Amsterdam, 1961.
36. A. I. Akhiezer, S. V. Peletminskij, Methods of Statistical Physics, Pergamon, New York, 1980.
37. A. A. Abrikosov, L. P. Gorkov, I. E. Dzyaloshinskii, Methods of Quantum Field Theory in Statistical Physics, Prentice Hall, Englewood Cliffs, NJ, 1963.
38. G. Baym, Ch. Pethick, Landau Fermi-Liquid Theory: Concepts and Applications, Wiley, 1991.
39. R.E. Peierls, Quantum Theory of Solids, Clarendon, Oxford, 1955.
40. A. Wacker, A. P. Jauho, S. Rott, A. Markus, P. Binder, G.H. Dohler, Phys. Rev. Lett. 83, 836.
41. A. Wacker Phys. Rep. 357 2002
42. I. Prigogine, Non-equilibrium Statistical Mechanics, Interscience, New York, 1962.
43. R. Balescu, Equilibrium and Nonequilibrium Statistical Dynamics, Wiley, New York, 1975.
44. D. N. Zubarev, V. Morozov, G. Ropke, Statistical Mechanics of Nonequilibrium Processes, vol.1,2, Akademie Verlag, Berlin, 1996, 1997.
45. R. Balescu, Statistical Dynamics, World Sceintific, Singapore, 1997
46. P.C. Martin, and J. Schwinger Phys. Rev. 115 1959 1342
47. J. Schwinger J. Math. Phys. 2 1961 407
48. D.C. Langreth, and G. Wilkins Phys. Rev. B 6 1972 3189
49. D. C. Langreth, in: J. T. Devreese, E. van Boren, (Eds.), Linear and Nonlinear Electron Transport in Solids, Plenum, New York, 1976.
50. S. Fujita, Introduction to Non-equilibrium Quantum Statistical Mechanics, W.B. Saunders, Philadelphia, 1966.
51. S. Fujita Phys. Rev. A 4 1971 1114
52. A.G. Hall J. Phys. A 8 1975 214
53. Yu.A. Kukharenko, and S.G. Tikhodeev Soviet. Phys. JETP 56 1982 831
54. D. Kremp, M. Schlanges, and Th. Bornath J. Stat. Phys. 41 1985 661
55. M. Wagner Phys. Rev. B 44 1991 6104
56. D. Semkat, D. Kremp, and M. Bonitz Phys. Rev. E 59 1999 1557
57. D. Semkat, D. Kremp, and M. Bonitz J. Math. Phys. 41 2000 7458
58. D. Semkat, M. Bonitz, D. Kremp, M. S. Murrilo, D.O. Gericke, in: M. Bonitz, D. Semkat (Eds.), Progress in Non-equilibrium Green's Functions II, World Scientific, Singapore, 2003, pp.83.
59. M. Bonitz, D. Semkat, M. S. Murrilo, and D.O. Gericke, in: M. Bonitz, D. Semkat (Eds.), Progress in Non-equilibrium Green's Functions II, World Scientific, Singapore, 2003, pp.94.
60. D. Semkat, D. Kremp, and M. Bonitz Contrib. Plasma Phys. 43 2003 321
61. V.G. Morozov, and G. Ropke Ann. Phys. 278 1999 127
62. K. Morawetz, M. Bonitz, V.G. Morozov, G. Ropke, and D. Kremp Phys. Rev. E 63 2001 020102
63. A. Kalvová, B. Velický,Phys. Rev. B 65 (2002) 155329-1.
64. S. Juchem, W. Cassing, C. Greiner, Phys. Rev. D 69 (2004) 025006-1.
65. S. Nakajima Prog. Theor. Phys. 20 1958 948
66. R. Zwanzig J. Chem. Phys. 33 1960 1338
67. R. Zwanzig Physica 30 1964 1109
68. H. Mori Prog. Theor. Phys. 33 1965 423
69. H. Grabert, Projection Operator Techniques in Nonlinear Statistical Mechanics, Springer, Berlin, 1982.
70. V. May, O. Kuhn, Charge and Energy Transfer Dynamics in Molecular Systems, Wiley, New York, 2000.
71. H.P. Breuer, F. Petruccione,The Theory of Open Quantum Systems, Oxford University Press, New York, 2002.
72. I. Knezevic, and D.K. Ferry Physica E 19 2003 71
73. I. Knezevic, D. K. Ferry, Phys. Rev. E 67 (2003) 066122-1.
74. I. Knezevic, and D.K. Ferry Semicon. Sci. Technol. 19 2004 S220
75. K. Burke, E. K. U. Gross, in: D. Joubert (Ed), Density Functionals: Theory andApplications, Lecture Notes in Physics, vol 500, Springer, Berlin, 1998, pp. 116.
76. R. Van Leeuwen Int. J. Mod. Phys. B 15 2001 1969
77. G. Onida, L. Reining, and A. Rubio Rev. Mod. Phys. 74 2002 601
78. P. Hohenberg, and W. Kohn Phys. Rev. 136 1994 B864
79. H. Eschrig, The Fundamentals of Density Functional Theory (revised version 2000), Teubner, Stuttgart, 1996.
80. E.H. Leib, Int. J. Quant. Chem. XXXIV (1983) 243.
81. E. Runge, and E.K.U. Gross Phys. Rev. Lett. 52 1984 997
82. R. Van Leeuwen, in: M. Bonitz, D. Semkat (Eds.), Progress in Non-equilibrium Green's Functions II, World Scientific, Singapore, 2003, pp. 427.
83. N. J. M. Horing, in: M. Bonitz, D. Semkat (Eds.), Progress in Non-equilibrium Green's Functions II, World Scientific, Singapore, 2003, pp. 122.