Bound states and poles of the two-particle Green's function

1977 ◽  
Vol 30 (1) ◽  
pp. 6-9 ◽  
Author(s):  
A. Karimkhodzhaev ◽  
R. N. Faustov
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Bound States

scholarly journals Impurity-bound states and Green's function zeros as local signatures of topology

2015 ◽  
Vol 92 (8) ◽  
Author(s):  
Robert-Jan Slager ◽  
Louk Rademaker ◽  
Jan Zaanen ◽  
Leon Balents
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Bound States ◽  
Function Zeros

Particle with a time-dependent mass in the Coulomb and the inverse quadratic potentials

2018 ◽  
Vol 15 (04) ◽  
pp. 1850057
Author(s):  
Badri Berrabah ◽  
Baya Bentag ◽  
Ahmida Bendjoudi
Keyword(s):  
Charged Particle ◽  
Green’S Function ◽  
Green's Function ◽  
Bound States ◽  
Energy Levels ◽  
Wave Functions ◽  
Time Dependent ◽  
Quadratic Potentials ◽  
Dependent Mass

The problem of a spineless charged particle with a time-dependent decaying mass interacting with a Coulomb and an inverse quadratic potentials is considered. The Green’s function is explicitly evaluated. The energy levels as well as the wave functions for the bound states are exactly determined.

Green's function for a neutron in magnetically bound states

1999 ◽  
Vol 32 (14) ◽  
pp. 2653-2662 ◽  
Author(s):  
Rafael de Lima Rodrigues ◽  
Arvind Narayan Vaidya
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Bound States

scholarly journals Study on Green’s function on topological insulator surface

2018 ◽  
Vol 376 (2125) ◽  
pp. 20150246 ◽  
Author(s):  
Bo Lu ◽  
Yukio Tanaka
Keyword(s):  
Green’S Function ◽  
Density Of States ◽  
Green's Function ◽  
Topological Insulator ◽  
Bound States ◽  
Local Density ◽  
Josephson Current ◽  
Majorana Fermion ◽  
Local Density Of States ◽  
Andreev Bound States

In the theory of superconducting junctions, Green’s function has an important role for obtaining Andreev bound states, local density of states and Josephson current in a systematic way. In this article, we show how to construct Green’s function on the surface of a topological insulator following McMillan’s formalism where the energy spectrum of electrons obeys a linear dispersion. For a model of a superconductor (S)/ferromagnet (F)/normal metal (N) junction, we show that the generation of a Majorana fermion gives rise to the enhanced local density of states and pair amplitude of odd-frequency pairing. We also derive an extended Furusaki–Tsukada’s formula of DC Josephson current in S/F/S junctions. The obtained Josephson current depends on the direction and magnitude of the magnetization. This article is part of the theme issue ‘Andreev bound states’.

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