Formalismo de Keldysh


F. P. Marín
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Bibliografía
Algunas de las referencias, que se muestran a continuación, no han sido citadas en estas notas pero se incluyen por su importancia ( histórica, en algunos casos ) o/y relación con el formalismo de Keldysh.
Abrikosov Methods of Quantum Field Theory in Statistical Physics. A. A. Abrikosov, L. P. Gorkov, I. E. Dzyaloshinski. Dover ( 1975 ).
Anderson Localized Magnetic States in Metals. P. W. Anderson. Phys. Rev. 124, 41 ( 1961 ).
Bogolyubov N. N. Bogolyubov, S. V. Tyablikov. Sov. Phys.-Doklady 4, 604 ( 1959 ).
Bonch-$\cdots$ The Green Function Method in Statistical Mechanics. V. L. Bonch-Bruevich, S. V. Tyablikov. Interscience Publishers 1$^{\rm\ul{st}}$ ed. ( 1962 ).
Caroli I Direct Calculation of the Tunneling Current. C. Caroli, R. Combescot, P. Nozieres, D. Saint-James. J. Phys. C 4, N$^{\rm\ul{\circ}}$ 8, 916 ( 1971 ).
Caroli II A Direct Calculation of the Tunneling Current. II. Free Electron Description. C. Caroli, R. Combescot, D. Lederer, P. Nozieres, D. Saint-James. J. Phys. C 4, N$^{\rm\ul{\circ}}$ 16, 2598 ( 1971 ).
Caroli III A Direct Calculation of the Tunneling Current: IV. Electron-Phonon Interaction Effects. C. Caroli, R. Combescot, P. Nozieres, D. Saint-James. J. Phys. C 5, N$^{\rm\ul{\circ}}$ 1, 21 ( 1972 ).
Combescot A Direct Calculation of the Tunneling Current. III. Effect of Localized Impurity States in the Barrier. R. Combescot. J. Phys. C 4, N$^{\rm\ul{\circ}}$ 16, 2611 ( 1971 ).
Datta Quantum Transport: Atom to Transistor. S. Datta. Cambridge University Press. 2$^{\rm\ul{a}}$ ed. ( 2015 ).
Davydov Quantum Mechanics. A. S. Davydov. 2$^{\rm\ul{a}}$ ed., Pergamon Press ( june 1976 ).
DoniachGreen's Functions for Solid State Physicists. S. Doniach, E. H. Sondheimer. World Scientific ( 1998 ).
Enz A Course on Many-Body Theory applied to Solid State Physics. C. P. Enz. World Scientific Pub. Co. Inc. ( january 1993 ).
Fano Description of States in Quantum Mechanics by Density Matrix and Operator Techniques. U. Fano. http://journals.aps.org/rmp/abstract/10.1103/RevModPhys.29.74 ( 1957 ).
Fetter Quantum Theory of Many-Particle Systems. A. L. Fetter, J. D. Walecka. Dover ( 2003 ).
Feynman Space-Time Approach to Quantum Electrodynamics. R. P. Feynman. Phys. Rev. 76, 769 ( 1949 ).
Gell-Mann Bound States in Quantum Field Theory. M. Gell-Mann, F. Low Phys. Rev. 84, 350 ( 1951 ).
Harrison Solid State Theory. W. A. Harrison. Dover ( 2011 ).
Jaynes I Comparison of Quantum and Semiclassical Radiation Theories with Application to the Beam Maser. E. T. Jaynes, F. W. Cummings. Proc. IEEE 51 (1) ( 1963 ).
Jaynes II Jaynes-Cummings Model. https://en.wikipedia.org/wiki/Jaynes–Cummings_model.
Jaynes III Quantized Electromagnetic Field and the Jaynes-Cummings Hamiltonian. G. Johansson, T. Bauch ( 2012 ). https://aqpl.mc2.chalmers.se/~gojo71/KvantInfo/QuantizedField_JC.pdf.
Kadanoff Quantum Statistical Mechanics. L. Kadanoff, G. Baym. Westview Press ( 1994 ).
Keldysh 1965 Diagram Techniques for Nonequilibrium Processes. L. V. Keldysh. Soviet Phys. JETP 20, 1018 ( 1965 ).
Keldysh 2003 Progress in Nonequilibrium Green's Functions II. L. V. Keldysh. Proceedings of the Conference Dresden, Germany 19-23 August 2002. Eds. by D.Semkat, M. Bonitz. World Scientific Pub. Co. Inc. ( August 2003 ). https://books.google.co.ve/books/about/Progress_in_Nonequilibrium_Green_s_Funct.html?id=m7LUCgAAQBAJ&hl=en.
Kubo R. Kubo. Journal of the Physical Society of Japan 12, 570 ( 1957 ).
Langevin Langevin Equation. https://en.wikipedia.org/wiki/Langevin_equation.
Langreth Linear and Nonlinear Electron Transport in Solids. D. C. Langreth. Vol. 17 of Nato Advanced Study Institute, Series B: Physics, ed. by J. T. Devreese, E. van Doren. pages 3-32. Plenum, New York ( 1976 ).
Mahan Many Particle Physics ( Physics of Solids and Liquids ). G. D. Mahan. Springer 3$^{\rm\ul{rd}}$ ed. ( 2000 ).
Martin Theory of Many-Particle Systems I. P. C. Martin, J.Schwinger. Phys. Rev. 115, 1342 ( 1959 ).
Matsubara A New Approach to Quantum-Statistical Mechanics. Prog. Theor. Phys. 14, 31 ( 1955 ).
Meir Landauer Formula for the Current through an Interacting Electron Region. Y. Meir, N. S. Wingreen. Phys. Rev. Lett. 68, 2512 ( 1992 ).
NEGF Publications, talks, books, theses... devoted to Nonequilibrium Greens Functions, with the focus on two-time Keldysh-Kadanoff-Baym Equations ( KBE ) http://www.theo-physik.uni-kiel.de/bonitz/kbet2/kbet2_publications.html .
NIST-Math NIST HandBook of Mathematical Functions. Eds. by F. W. Olmer, D. W. Lozier, R. F. Boisvert, C. W. Clark. Cambridge University Press ( 2010 ).
Coloquialmente conocida como Abramowitz2.
Nyquist H. Nyquist. Phys. Rev. 32, 110 ( 1928 ).
${\tt R_{K-90}}$ Conventional value of von Klitzing constant.
Sargent Laser Physics. M. Sargent III, M. Scully, W. E. Lamb Jr. Westview Press Fifth Printing ed. ( 1987 ).
Schwinger Brownian Motion of a Quantum Oscillator. J. Schwinger. J. Math. Phys. 2, 407 ( 1961 ).
Szopa The Canonical Form of the Rabi Hamiltonian. M. Szopa, G. Mys, A. Ceulemans. ( 1996 ). http://arxiv.org/pdf/quant-ph/9606035v1.pdf .
Von Klitzing New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall. K. von Klitzing, G. Dorda, M. Pepper. Phys. Rev. Lett. 45 (6), 494-497 ( 1980 ).
Weisskopf Calculating the Natural Linewidth due to Dirac Theory of Light. V. F. Weisskopf, E. Wigner. Z. Phys. 63, 54 ( 1930 ).
Wick The Evaluation of the Collision Matrix. G. C. Wick. Phys. Rev. 80, 268 ( 1950 ).
Zubarev Double-Time Green Functions in Statistical Physics. D. N. Zubarev. Sov. Phys. Uspekhi 3, 320 ( 1960 ). Versión en inglés: http://iopscience.iop.org/article/10.1070/PU1960v003n03ABEH003275/pdf.
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