Corrections to Migdal’s theorem for spectral functions: A cumulant treatment of the time-dependent Green’s function

1994 ◽  
Vol 50 (15) ◽  
pp. 10462-10473 ◽  
Author(s):  
O. Gunnarsson ◽  
V. Meden ◽  
K. Schönhammer
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Time Dependent ◽  
Spectral Functions ◽  
Migdal's Theorem

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.

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