Single-electron Schrödinger equation for many-electron systems

1999 ◽  
Vol 121 (3) ◽  
pp. 1641-1653 ◽  
Author(s):  
L. P. Ginzburg
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Single Electron ◽  
Electron Systems

THE THEORY OF AN ELECTRON ON A LOXODROME

2012 ◽  
Vol 26 (08) ◽  
pp. 1250052 ◽  
Author(s):  
DAVID S. TOURIGNY
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Single Electron ◽  
Molecular Physics ◽  
Helical Polymers ◽  
Quantum Properties ◽  
Electron Models ◽  
Apple Peels

Single-electron models are regularly used in molecular physics to obtain information on the quantum properties of many-atom systems. Examples include applications of a particle contained on a ring to benzene, and an electron on a helix to helical polymers. Here it is shown that the model of an electron on a spherical helix (a loxodrome) is also amenable to such investigation, and may be used to describe an emerging class of molecules known as "molecular apple peels". Moreover, the Schrödinger equation that arises during consideration of this model is solved exactly.

scholarly journals The Analytical Solutions of the Schrodinger Equation for a Single Electron in the Nikiforov-Uvarov Framework

Jurnal Fisika ◽  
2020 ◽  
Vol 10 (2) ◽  
pp. 1-10
Author(s):  
Yacobus Yulianto ◽  
Zaki Su'ud
Keyword(s):  
Wave Function ◽  
Schrödinger Equation ◽  
Analytical Solutions ◽  
Schrodinger Equation ◽  
Quantum Physics ◽  
Energy Eigenvalue ◽  
Single Electron ◽  
Alternative Procedure ◽  
Alternative Method ◽  
Uvarov Method

In this study, it is intended to show an alternative method to derive the wave function of a single electron as solutions of the Schrodinger equation. The Nikiforov-Uvarov method was chosen to be utilized since this method can solve the Schrodinger equation with several well-known potentials in the non-relativistic mechanics of quantum. The obtained results of this study have succeed to explain the wave function and the energy eigenvalue for a single electron as lectured in quantum physics textbooks. These results prove that the Nikiforov-Uvarov method provides an alternative procedure to solve the Schrodinger equation.

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