Distributed Gaussian orbitals for the description of electrons in an external potential

2018 ◽  
Vol 24 (8) ◽  
Author(s):  
Léa Brooke ◽  
Alejandro Diaz-Marquez ◽  
Stefano Evangelisti ◽  
Thierry Leininger ◽  
Pierre-François Loos ◽  
...  
Keyword(s):  
External Potential ◽  
Gaussian Orbitals

Comparing the solution of the time fractional Gross–Pitaevskii (FGP) equation with external potential by analytical and algebraic methods

SeMA Journal ◽  
2016 ◽  
Vol 73 (3) ◽  
pp. 201-212
Author(s):  
N. Taghizadeh ◽  
A. Ebadian ◽  
M. Najand Foumani ◽  
F. Farahrooz ◽  
A. A. Khajehnasiri
Keyword(s):  
External Potential ◽  
Algebraic Methods

External potential regulated biocathode for enhanced removal of gaseous chlorobenzene in bioelectrchemical system

Chemosphere ◽  
2021 ◽  
Vol 274 ◽  
pp. 129990
Author(s):  
Zanyun Ying ◽  
Han Chen ◽  
Jialing Gao ◽  
Shihan Zhang ◽  
Ruijian Peng ◽  
...  
Keyword(s):  
External Potential

Structural-energy calculations based on norm-conserving pseudopotentials and localized Gaussian orbitals

1981 ◽  
Vol 24 (8) ◽  
pp. 4745-4752 ◽  
Author(s):  
G. B. Bachelet ◽  
H. S. Greenside ◽  
G. A. Baraff ◽  
M. Schlüter
Keyword(s):  
Energy Calculations ◽  
Gaussian Orbitals

scholarly journals Fermions in the Rindler spacetime

2019 ◽  
Vol 16 (09) ◽  
pp. 1950140 ◽  
Author(s):  
L. C. N. Santos ◽  
C. C. Barros
Keyword(s):  
Differential Equation ◽  
Wave Equation ◽  
Energy Spectrum ◽  
Dirac Equation ◽  
Reference Frame ◽  
Bound States ◽  
Liouville Problem ◽  
External Potential ◽  
Compact Expression ◽  
Sturm Liouville

In this paper, we study the Dirac equation in the Rindler spacetime. The solution of the wave equation in an accelerated reference frame is obtained. The differential equation associated to this wave equation is mapped into a Sturm–Liouville problem of a Schrödinger-like equation. We derive a compact expression for the energy spectrum associated with the Dirac equation in an accelerated reference. It is shown that the noninertial effect of the accelerated reference frame mimics an external potential in the Dirac equation and, moreover, allows the formation of bound states.

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