The (1+1) Dimensional Dirac Equation With Pseudoscalar Potentials: Path Integral Treatment

2007 ◽  
Vol 46 (6) ◽  
pp. 1528-1541 ◽  
Author(s):  
S. Haouat ◽  
L. Chetouani
Keyword(s):  
Dirac Equation ◽  
Path Integral ◽  
Integral Treatment

Dirac oscillator in a uniform electric field: Path integral treatment

2019 ◽  
Vol 34 (30) ◽  
pp. 1950246
Author(s):  
Hassene Bada ◽  
Mekki Aouachria
Keyword(s):  
Energy Spectrum ◽  
Electric Field ◽  
Path Integral ◽  
Uniform Electric Field ◽  
Two Dimensional ◽  
Dirac Oscillator ◽  
Fermionic Model ◽  
Internal Motions ◽  
Integral Treatment ◽  
The One

In this paper, the propagator of a two-dimensional Dirac oscillator in the presence of a uniform electric field is derived by using the path integral technique. The fact that the globally named approach is used in this work redirects, beforehand, our search for the propagator of the Dirac equation to that of the propagator of its quadratic form. The internal motions relative to the spin are represented by two fermionic oscillators, which are described by Grassmannian variables, according to Schwinger’s fermionic model. Once the integration over the anticommuting variables (Grassmannian variables) is accomplished, the problem becomes the one of finding a non-relativistic propagator with only bosonic variables. The energy spectrum of the electron and the corresponding eigenspinors are also obtained in this work.

Path‐integral treatment of multi‐mode vibronic coupling

1994 ◽  
Vol 100 (2) ◽  
pp. 926-937 ◽  
Author(s):  
Stefan Krempl ◽  
Manfred Winterstetter ◽  
Heiko Plöhn ◽  
Wolfgang Domcke
Keyword(s):  
Path Integral ◽  
Vibronic Coupling ◽  
Integral Treatment ◽  
Multi Mode

Path‐integral treatment of multi‐mode vibronic coupling. II. Correlation expansion of class averages

1995 ◽  
Vol 102 (16) ◽  
pp. 6499-6510 ◽  
Author(s):  
Stefan Krempl ◽  
Manfred Winterstetter ◽  
Wolfgang Domcke
Keyword(s):  
Path Integral ◽  
Vibronic Coupling ◽  
Integral Treatment ◽  
Multi Mode

Path integral treatment for the one‐dimensional Natanzon potentials

1993 ◽  
Vol 34 (4) ◽  
pp. 1257-1269 ◽  
Author(s):  
L. Chetouani ◽  
L. Guechi ◽  
A. Lecheheb ◽  
T. F. Hammann
Keyword(s):  
Path Integral ◽  
One Dimensional ◽  
Integral Treatment ◽  
The One
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