Exact solutions of the Schrödinger equation for nonseparable anharmonic oscillator potentials in two dimensions

1989 ◽  
Vol 30 (7) ◽  
pp. 1525-1532 ◽  
Author(s):  
D. R. Taylor ◽  
P. G. L. Leach
Keyword(s):  
Schrödinger Equation ◽  
Exact Solutions ◽  
Schrodinger Equation ◽  
Anharmonic Oscillator ◽  
Two Dimensions

scholarly journals Exact solutions of the radial Schrödinger equation for some physical potentials

Open Physics ◽  
2007 ◽  
Vol 5 (4) ◽  
Author(s):  
Sameer Ikhdair ◽  
Ramazan Sever
Keyword(s):  
Schrödinger Equation ◽  
Exact Solutions ◽  
Analytical Solutions ◽  
Schrodinger Equation ◽  
Bound State ◽  
Two Dimensions ◽  
Exact Analytical Solutions ◽  
Radial Schrödinger Equation

AbstractBy using an ansatz for the eigenfunction, we have obtained the exact analytical solutions of the radial Schrödinger equation for the pseudoharmonic and the Kratzer potentials in two dimensions. The bound-state solutions are easily calculated from this eigenfunction ansatz. The corresponding normalized wavefunctions are also obtained.

scholarly journals Exact Solutions of the Generalized Nonlinear Schrodinger Equation

2021 ◽  
pp. 18-25
Author(s):  
Gaukhar Shaikhova ◽  
Arailym Syzdykova ◽  
Samgar Daulet
Keyword(s):  
Schrödinger Equation ◽  
Exact Solutions ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Nonlinear Partial Differential Equations ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Physical Problems ◽  
Different Types ◽  
Generalized Nonlinear Schrödinger Equation

In this work, the generalized nonlinear Schrodinger equation is investigated. Exact solutions are derived by the sinecosine method. This method is used to obtain the exact solutions for different types of nonlinear partial differential equations. Graphs of obtained solutions are presented. The obtained solutions are found to be important for the explanation of some practical physical problems.

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