scholarly journals Solving scattering problems in the half-line using methods developed for scattering in the full line

2019 ◽  
Vol 411 ◽  
pp. 167980 ◽  
Author(s):  
Ali Mostafazadeh
Keyword(s):  
Half Line ◽  
Full Line ◽  
Scattering Problems

scholarly journals MORSE POTENTIAL AND ITS RELATIONSHIP WITH THE COULOMB IN A POSITION-DEPENDENT MASS BACKGROUND

2006 ◽  
Vol 21 (36) ◽  
pp. 2703-2708 ◽  
Author(s):  
B. BAGCHI ◽  
P. S. GORAIN ◽  
C. QUESNE
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Morse Potential ◽  
Half Line ◽  
Full Line ◽  
Constant Mass ◽  
Exactly Solvable ◽  
Dependent Mass ◽  
Position Dependent Mass ◽  
Mass Problems

We provide some explicit examples wherein the Schrödinger equation for the Morse potential remains exactly solvable in a position-dependent mass background. Furthermore, we show how in such a context, the map from the full line (-∞, ∞) to the half-line (0, ∞) may convert an exactly solvable Morse potential into an exactly solvable Coulomb one. This generalizes a well-known property of constant-mass problems.

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