Quantum scattering approach for investigation of two interacting atoms trapped in a one-dimensional Morse potential via Lippmann-Schwinger equation

2017 ◽  
Vol 58 (6) ◽  
pp. 062105 ◽  
Author(s):  
Maryam Mansoori Kermani ◽  
Ali Maghari
Keyword(s):  
Morse Potential ◽  
Quantum Scattering ◽  
One Dimensional ◽  
Interacting Atoms

scholarly journals Quantum scattering in quasi-one-dimensional cylindrical confinement

2005 ◽  
Vol 72 (4) ◽  
Author(s):  
J. I. Kim ◽  
J. Schmiedmayer ◽  
P. Schmelcher
Keyword(s):  
Quantum Scattering ◽  
One Dimensional

scholarly journals Resonances and quantum scattering for the Morse potential as a barrier

2002 ◽  
Vol 70 (9) ◽  
pp. 935-944 ◽  
Author(s):  
G. Rawitscher ◽  
Cory Merow ◽  
Matthew Nguyen ◽  
Ionel Simbotin
Keyword(s):  
Morse Potential ◽  
Quantum Scattering

On quantum scattering by δ'(x)} and quasi δ'(x) distributions

2007 ◽  
Vol 85 (9) ◽  
pp. 967-979
Author(s):  
R K Dubey ◽  
V J Menon ◽  
M K Pandey ◽  
D N Tripathi
Keyword(s):  
Quantum Scattering ◽  
Length Scale ◽  
Range Interaction ◽  
One Dimensional ◽  
Transmission Amplitude ◽  
Reflection Amplitude ◽  
Scattering Wave ◽  
Zero Range ◽  
Ordinary Point ◽  
The One

The zero-range interaction U(x) occurring in the one-dimensional, time-independent Schrödinger equation is regarded as a smoothed distribution characterized by a tiny length scale b such that the origin becomes an ordinary point. A neighbourhood around the origin is scanned by defining inner demarcation points a±≡ ±b/N and outer demarcation points b±≡ ±Nb with N >> 1. Then a sequence of simple Lemmas permits (i) construction of a systematic procedure for simultaneously solving the scattering wave function ψ(0) at the origin, its derivative ψ'(0) there, the transmission amplitude B, as well as the reflection amplitude D; and (ii) unambiguous application to scattering by the previously known δ'(x) and newly proposed quasi δ'(x) potentials in the Cauchy representation of various distributions.PACS No.: 03.65.Nk

scholarly journals On the one‐dimensional Morse potential as limit of a class of multiparameter exponential‐type radial potential

2020 ◽  
Author(s):  
José Juan Peña ◽  
Jesús Morales ◽  
Jesús García‐Ravelo ◽  
Jaime Avendaño ◽  
Jesús García‐Martínez
Keyword(s):  
Exponential Type ◽  
Morse Potential ◽  
One Dimensional ◽  
Radial Potential ◽  
The One

Wronskian method for one-dimensional quantum scattering

2011 ◽  
Vol 79 (8) ◽  
pp. 877-881 ◽  
Author(s):  
Francisco M. Fernández
Keyword(s):  
Quantum Scattering ◽  
One Dimensional
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