Exact Green's function of the Aharonov-Bohm-Coulomb system via the Feynman-Kac formula

1999 ◽  
Vol 32 (39) ◽  
pp. 6783-6789 ◽  
Author(s):  
Der-San Chuu ◽  
De-Hone Lin
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Coulomb System ◽  
Aharonov Bohm

Dirac particle in Aharonov–Bohm–Coulomb field: Path integral treatment

2022 ◽  
Author(s):  
A. Merdaci ◽  
N. Boudiaf ◽  
L. Chetouani
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Path Integral ◽  
Spin Dynamics ◽  
Coulomb Field ◽  
Dirac Particle ◽  
Coordinate Space ◽  
Relativistic Limit ◽  
Integral Treatment ◽  
Aharonov Bohm

Exact Green’s function related to a Dirac particle submitted to the combination of Aharonov–Bohm and Coulomb potentials in [Formula: see text]) coordinate space is analytically calculated via path integral formalism. The Pauli matrices which describe the spin dynamics are replaced by two fermionic oscillators via the Schwinger model. The energy spectrum as well as the corresponding normalized wave functions are extracted following this approach. The interesting properties of the spinors are thus deduced after symmetrization. According to the symmetric form for Green’s function, it is shown that the non-relativistic limit of the Dirac particle is undertaken with much ease.

GREEN'S FUNCTION MATCHING METHOD FOR REALISTIC CALCULATIONS OF INTERFACES

1985 ◽  
Vol 46 (C4) ◽  
pp. C4-321-C4-329 ◽  
Author(s):  
E. Molinari ◽  
G. B. Bachelet ◽  
M. Altarelli
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Matching Method

THE ATOMISTIC GREEN'S FUNCTION METHOD FOR INTERFACIAL PHONON TRANSPORT

2014 ◽  
Vol 17 (N/A) ◽  
pp. 89-145 ◽  
Author(s):  
Sridhar Sadasivam ◽  
Yuhang Che ◽  
Zhen Huang ◽  
Liang Chen ◽  
Satish Kumar ◽  
...  
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Function Method ◽  
Phonon Transport ◽  
Green’S Function Method
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