scholarly journals EXACT SOLUTION OF SCHR?DINGER EQUATION WITH REFLECTIONLESS POTENTIAL WELL

1993 ◽  
Vol 42 (2) ◽  
pp. 173
Author(s):  
ZHOU GUANG-HUI
Keyword(s):  
Exact Solution ◽  
Potential Well ◽  
Dinger Equation ◽  
Reflectionless Potential

scholarly journals The exact solution of the nonlinear Schrödinger equation by the exp-function method

2021 ◽  
pp. 88-88
Author(s):  
Qiaoling Chen ◽  
Zhiqiang Sun
Keyword(s):  
Exact Solution ◽  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Function Method ◽  
Solution Process ◽  
Nonlinear Schrodinger Equation ◽  
Dinger Equation ◽  
Nonlinear Schrödinger ◽  
Free Parameters

This paper elucidates the main advantages of the exp-function method in finding the exact solution of the nonlinear Schr?dinger equation. The solution process is extremely simple and accessible, and the obtained solution contains some free parameters.

scholarly journals THREE DIMENSIONAL EXTENSION OF THE EXACT SOLUTI-ONS FOR SCHR?DINGER EQUATION WITH REFLECTIONLESS POTENTIAL

1993 ◽  
Vol 42 (3) ◽  
pp. 345
Author(s):  
ZHOU GUANG-HUI ◽  
WEN GEN-WANG
Keyword(s):  
Three Dimensional ◽  
Dinger Equation ◽  
Reflectionless Potential

scholarly journals Exact Solution of Schrödinger Equation with Inverted Woods-Saxon and Manning-Rosen Potentials

2010 ◽  
Vol 3 (1) ◽  
pp. 25 ◽  
Author(s):  
A. N. Ikot ◽  
L. E. Akpabio ◽  
E. B. Umoren
Keyword(s):  
Exact Solution ◽  
Wave Function ◽  
Energy Spectrum ◽  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Negative Energy ◽  
Dinger Equation ◽  
Radial Schrödinger Equation ◽  
Rosen Potential

We have analytically solved the radial Schrödinger equation with inverted Woods-Saxon and Manning-Rosen Potentials. With the ansatz for the wave function, we obtain the generalized wave function and the negative energy spectrum for the system.Keywords: Inverted Woods-Saxon Potentials; Manning-Rosen Potential; Schrödinger Equation.© 2011 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.doi:10.3329/jsr.v3i1.5310                J. Sci. Res. 3 (1), 25-33 (2011)

scholarly journals A systematic study on the exact solution of the position dependent mass Schr dinger equation

2003 ◽  
Vol 36 (29) ◽  
pp. 8105-8112 ◽  
Author(s):  
Ramazan Ko ◽  
Mehmet Koca
Keyword(s):  
Exact Solution ◽  
Systematic Study ◽  
Dinger Equation ◽  
Dependent Mass ◽  
Position Dependent Mass

Critical soliton speed for quantum reflection by a reflectionless potential well

2021 ◽  
Vol 103 (6) ◽  
Author(s):  
U. Al Khawaja
Keyword(s):  
Potential Well ◽  
Quantum Reflection ◽  
Reflectionless Potential
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