Supersymmetric path integral for the Dirac oscillator in a uniform electric field

2020 ◽  
Vol 53 (26) ◽  
pp. 265401
Author(s):  
Hassene Bada ◽  
Mekki Aouachria
Keyword(s):  
Electric Field ◽  
Path Integral ◽  
Uniform Electric Field ◽  
Dirac Oscillator

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.

Bubble motion in liquid nitrogen under a non-uniform electric field in a microgravity environment

1997 ◽  
Vol 117 (11) ◽  
pp. 1109-1114
Author(s):  
Yoshiyuki Suda ◽  
Kenji Mutoh ◽  
Yosuke Sakai ◽  
Kiyotaka Matsuura ◽  
Norio Homma
Keyword(s):  
Electric Field ◽  
Liquid Nitrogen ◽  
Microgravity Environment ◽  
Uniform Electric Field ◽  
Bubble Motion

Discussion of Electrode Conditioning Mechanism Based on Pre-breakdown Current under Non-uniform Electric Field in Vacuum

2008 ◽  
Vol 128 (12) ◽  
pp. 1445-1451
Author(s):  
Takanori Yasuoka ◽  
Tomohiro Kato ◽  
Katsumi Kato ◽  
Hitoshi Okubo
Keyword(s):  
Electric Field ◽  
Uniform Electric Field

scholarly journals Field Grading Composites Tailored by Electrophoresis — Part 1: Principle and Permittivity Gradient in Uniform Electric Field

2021 ◽  
Vol 28 (2) ◽  
pp. 333-340
Author(s):  
S. Diaham ◽  
Z. Valdez-Nava ◽  
L. Leveque ◽  
T. T. Le ◽  
L. Laudebat ◽  
...  
Keyword(s):  
Electric Field ◽  
Uniform Electric Field

scholarly journals Field Grading Composites Tailored by Electrophoresis—Part 2: Permittivity Gradient in Non-Uniform Electric Field

2021 ◽  
Vol 28 (2) ◽  
pp. 341-347
Author(s):  
S. Diaham ◽  
Z. Valdez-Nava ◽  
T. T. Le ◽  
L. Leveque ◽  
L. Laudebat ◽  
...  
Keyword(s):  
Electric Field ◽  
Uniform Electric Field
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