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1

W, Wilson J., i United States. National Aeronautics and Space Administration. Scientific and Technical Information Program., red. Green's function methods in heavy ion shielding. [Washington, DC]: National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1993.

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2

W, Wilson John. Green's function methods in heavy ion shielding. Hampton, Va: Langley Research Center, 1993.

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3

Søndergaard, Thomas M. Green’s Function Integral Equation Methods in Nano-Optics. First edition. | Boca Raton, FL : CRC Press/Taylor & Francis Group, 2019.: CRC Press, 2019. http://dx.doi.org/10.1201/9781351260206.

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4

Wilson, John W. Approximate Green's function methods for HZE transport in multilayered materials. Hampton, Va: Langley Research Center, 1993.

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5

W, Wilson J., i United States. National Aeronautics and Space Administration. Scientific and Technical Information Program., red. Approximate Green's function methods for HZE transport in multilayered materials. [Washington, DC]: National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1993.

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6

Kadanoff, Leo P. Quantum statistical mechanics: Green's function methods in equilibrium and nonequilibrium problems. Redwood City, Calif: Addison-Wesley Pub. Co., Advanced Book Program, 1989.

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7

Helszajn, J. Green's function, finite elements, and microwave planar circuits. Chichester: J. Wiley, 1996.

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8

Pourfath, Mahdi. The Non-Equilibrium Green's Function Method for Nanoscale Device Simulation. Vienna: Springer Vienna, 2014. http://dx.doi.org/10.1007/978-3-7091-1800-9.

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9

Hartmann, Friedel. Green's Functions and Finite Elements. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013.

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10

Johnston, Janet C. Simulating a large Wasatch Front, Utah, earthquake using small earthquake recordings as Green's functions. Hanscom AFB, MA: Earth Sciences Division, Air Force Geophysics Laboratory, 1986.

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11

Kazuo, Kikuchi, i United States. National Aeronautics and Space Administration., red. Finite element calculations for aerodynamic coefficients of a 3-dimensional body in subsonic flow using Green's function method. Washington, DC: National Aeronautics and Space Administration, 1988.

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12

Siegel, Robert. Two-flux and Green's function method for transient radiative transfer in a semitransparent layer. [Washington, D.C: National Aeronautics and Space Administration, 1995.

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13

Siegel, Robert. Two-flux and Green's function method for transient radiative transfer in a semitransparent layer. [Washington, D.C: National Aeronautics and Space Administration, 1995.

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14

Siegel, Robert. Two-flux and Green's function method for transient radiative transfer in a semitransparent layer. [Washington, D.C: National Aeronautics and Space Administration, 1995.

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15

R, Velasco Víctor, red. Theo ry of single and multiple interfaces: The method of surface Green function matching. Singapore: World Scientific, 1992.

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16

Liu, Qiangang. The Green's function method for fully unsteady aerodynamics around three-dimensional bodies and its application to flutter analysis. [Downsview, Ont.]: Institute for Aerospace Studies, 1986.

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17

United States. National Aeronautics and Space Administration., red. Analysis of discontinuities in a rectanglar waveguide using dyadic green's function approach in conjunction with method of moments. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1997.

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18

Losʹ, V. F. Metody teorii neupori͡a︡dochennykh sistem: Ėlektronnye svoĭstva splavov. Kiev: Nauk. dumka, 1995.

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19

Butkovskiĭ, A. G. Characteristics of distributed-parameter systems: Handbook of equations of mathematical physics and distributed-parameter systems. Redaktorzy Pustylʹnikov Leonid Moiseevich i Butkovskiĭ A. G. Dordrecht: Kluwer Academic Publishers, 1993.

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20

Lang, Serge. Calculus of several variables. Wyd. 3. New York: Springer, 1996.

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21

Lang, Serge. Calculus of several variables. Wyd. 3. New York: Springer-Verlag, 1988.

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22

Lang, Serge. Calculus of several variables. Wyd. 3. New York: Springer-Verlag, 1994.

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23

Lang, Serge. Calculus of several variables. Wyd. 3. New York: Springer-Verlag, 1987.

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24

P, Pitaevskiĭ L., red. Statistical physics. Oxford: Butterworth-Heinemann, 1998.

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25

Horing, Norman J. Morgenstern. Retarded Green’s Functions. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0005.

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Streszczenie:
Chapter 5 introduces single-particle retarded Green’s functions, which provide the probability amplitude that a particle created at (x, t) is later annihilated at (x′,t′). Partial Green’s functions, which represent the time development of one (or a few) state(s) that may be understood as localized but are in interaction with a continuum of states, are discussed and applied to chemisorption. Introductions are also made to the Dyson integral equation, T-matrix and the Dirac delta-function potential, with the latter applied to random impurity scattering. The retarded Green’s function in the presence of random impurity scattering is exhibited in the Born and self-consistent Born approximations, with application to Ando’s semi-elliptic density of states for the 2D Landau-quantized electron-impurity system. Important retarded Green’s functions and their methods of derivation are discussed. These include Green’s functions for electrons in magnetic fields in both three dimensions and two dimensions, also a Hamilton equation-of-motion method for the determination of Green’s functions with application to a 2D saddle potential in a time-dependent electric field. Moreover, separable Hamiltonians and their product Green’s functions are discussed with application to a one-dimensional superlattice in axial electric and magnetic fields. Green’s function matching/joining techniques are introduced and applied to spatially varying mass (heterostructures) and non-local electrostatics (surface plasmons).
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26

National Aeronautics and Space Administration (NASA) Staff. Green's Function Methods in Heavy Ion Shielding. Independently Published, 2018.

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27

Søndergaard, Thomas M. Green's Function Integral Equation Methods in Nano-Optics. Taylor & Francis Group, 2019.

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28

Søndergaard, Thomas M. Green's Function Integral Equation Methods in Nano-Optics. Taylor & Francis Group, 2019.

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29

Søndergaard, Thomas M. Green's Function Integral Equation Methods in Nano-Optics. Taylor & Francis Group, 2019.

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30

Green's Function Integral Equation Methods in Nano-Optics. CRC Press, 2019.

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31

Søndergaard, Thomas M. Green's Function Integral Equation Methods in Nano-Optics. Taylor & Francis Group, 2019.

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32

Bonch-Bruevich, V. L. The Green function method in statistical mechanics. 2015.

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33

Morawetz, Klaus. Nonequilibrium Green’s Functions. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198797241.003.0007.

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The method of the equation of motion is used to derive the Martin–Schwinger hierarchy for the nonequilibrium Green’s functions. The formal closure of the hierarchy is reached by using the selfenergy which provides a recipe for how to construct selfenergies from approximations of the two-particle Green’s function. The Langreth–Wilkins rules for a diagrammatic technique are shown to be equivalent to the weakening of initial correlations. The quantum transport equations are derived in the general form of Kadanoff and Baym equations. The information contained in the Green’s function is discussed. In equilibrium this leads to the Matsubara diagrammatic technique.
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34

Mandelis, Andreas. Diffusion-Wave Fields: Mathematical Methods and Green Functions. Springer New York, 2013.

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35

Diffusion-Wave Fields: Mathematical Methods and Green Functions. Springer, 2001.

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36

Mandelis, Andreas. Diffusion-Wave Fields: Mathematical Methods and Green Functions. Springer, 2011.

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37

Green's Functions in Quantum Physics. Wyd. 3. Springer, 2006.

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38

Approximate Green's function methods for HZE transport in multilayered materials. [Washington, DC]: National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Program, 1993.

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39

Qin, Qing-Hua. Green's Function and Boundary Elements of Multifield Materials. Elsevier Science & Technology Books, 2010.

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40

Green's function and boundary elements of multifield materials. Elsevier Science, 2007.

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41

Qin, Qing-Hua. Green's function and boundary elements of multifield materials. Elsevier Science, 2007.

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42

Pourfath, Mahdi. Non-Equilibrium Green's Function Method for Nanoscale Device Simulation. Springer Wien, 2014.

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43

Rickayzen, G. Green's Functions and Condensed Matter. Dover Publications, Incorporated, 2013.

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44

Rickayzen, G. Green's Functions and Condensed Matter. Dover Publications, Incorporated, 2013.

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45

Zhu, Jian-Xin. Bogoliubov-de Gennes Method and Its Applications. Springer, 2016.

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46

Zhu, Jian-Xin. Bogoliubov-De Gennes Method and Its Applications. Springer London, Limited, 2016.

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47

Pourfath, Mahdi. The Non-Equilibrium Green's Function Method for Nanoscale Device Simulation. Pourfath Mahdi, 2016.

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48

Pourfath, Mahdi. The Non-Equilibrium Green's Function Method for Nanoscale Device Simulation. Pourfath Mahdi, 2014.

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49

Hartmann, Friedel. Green's Functions and Finite Elements. Springer, 2012.

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50

Hartmann, Friedel. Green's Functions and Finite Elements. Springer, 2014.

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