Lie Algebra Method for Exact Solution of the Schrodinger Equation in One-Dimension with Position-Dependent Effective Mass

2011 ◽  
Author(s):  
Z. Bakhshi ◽  
H. Panahi ◽  
Muhammed Hasan Aslan ◽  
Ahmet Yayuz Oral ◽  
Mehmet Özer ◽  
...  
Keyword(s):  
Exact Solution ◽  
Schrödinger Equation ◽  
Effective Mass ◽  
Lie Algebra ◽  
Schrodinger Equation ◽  
One Dimension ◽  
Algebra Method

ALGEBRAIC APPROACH TO THE POSITION-DEPENDENT MASS SCHRÖDINGER EQUATION FOR A SINGULAR OSCILLATOR

2007 ◽  
Vol 22 (14) ◽  
pp. 1039-1045 ◽  
Author(s):  
SHI-HAI DONG ◽  
J. J. PEÑA ◽  
C. PACHECO-GARCÍA ◽  
J. GARCÍA-RAVELO
Keyword(s):  
Schrödinger Equation ◽  
Quantum System ◽  
Effective Mass ◽  
Lie Algebra ◽  
Schrodinger Equation ◽  
Algebraic Approach ◽  
Hidden Symmetry ◽  
Dependent Mass ◽  
Complete Solutions ◽  
Position Dependent Mass

We construct a singular oscillator Hamiltonian with a position-dependent effective mass. We find that an su(1, 1) algebra is the hidden symmetry of this quantum system and the isospectral potentials V(x) depend on the different choices of the m(x). The complete solutions are also presented by using this Lie algebra.

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