Bound and scattering states for a hyperbolic-type potential in view of a new developed approximation

2015 ◽  
Vol 115 (8) ◽  
pp. 529-534 ◽  
Author(s):  
Oktay Aydoğdu ◽  
Hilmi Yanar
Keyword(s):  
Hyperbolic Type ◽  
Scattering States ◽  
Type Potential

Bound and scattering state solutions of a hyperbolic-type potential

2013 ◽  
Vol 91 (2) ◽  
pp. 120-125 ◽  
Author(s):  
Ali Ghoumaid ◽  
Farid Benamira ◽  
Larbi Guechi
Keyword(s):  
Hyperbolic Type ◽  
Wave Functions ◽  
Integral Approach ◽  
Centrifugal Term ◽  
Scattering Function ◽  
S Waves ◽  
Barrier Potential ◽  
Scattering States ◽  
Scattering State ◽  
Type Potential

A hyperbolic-type potential with a centrifugal term is solved approximately using the path integral approach. The radial Green's function is expressed in closed form, from which the energy spectrum and the suitably normalized wave functions of bound and scattering states are extracted for (1/2) − [Formula: see text] < σ < (1/2) + [Formula: see text]. Besides, the phase shift and the scattering function Sl for each angular momentum l are deduced. The particular cases corresponding to the s-waves (l = 0) and the barrier potential (σ = 1) are also analyzed.

The nonrelativistic oscillator strength of a hyperbolic-type potential

2013 ◽  
Vol 22 (6) ◽  
pp. 060202 ◽  
Author(s):  
H. Hassanabadi ◽  
S. Zarrinkamar ◽  
B. H. Yazarloo
Keyword(s):  
Oscillator Strength ◽  
Hyperbolic Type ◽  
Type Potential

scholarly journals The Scattering and Bound States of the Schrödinger Particle in Generalized Asymmetric Manning-Rosen Type Potential

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Ahmet Taş ◽  
Soner Alpdoğan ◽  
Ali Havare
Keyword(s):  
Bound States ◽  
Reflection And Transmission ◽  
Transmission Coefficients ◽  
Transmission And Reflection Coefficients ◽  
Scattering States ◽  
Different Types ◽  
Nonrelativistic Quantum Mechanics ◽  
Application Fields ◽  
Type Potential ◽  
Transmission And Reflection

We solve exactly one-dimensional Schrödinger equation for the generalized asymmetric Manning-Rosen (GAMAR) type potential containing the different types of physical potential that have many application fields in the nonrelativistic quantum mechanics and obtain the solutions in terms of the Gauss hypergeometric functions. Then we determine the solutions for scattering and bound states. By using these states we calculate the reflection and transmission coefficients for scattering states and achieve a correlation that gives the energy eigenvalues for the bound states. In addition to these, we show how the transmission and reflection coefficients depend on the parameters which describe shape of the GAMAR type potential and compare our results with the results obtained in earlier studies.

scholarly journals The Semi-Relativistic Scattering States of the Hulthén and Hyperbolic-Type Potentials

2013 ◽  
Vol 124 (1) ◽  
pp. 20-22 ◽  
Author(s):  
H. Hassanabadi ◽  
B.H. Yazarloo ◽  
S. Hassanabadi ◽  
S. Zarrinkamar
Keyword(s):  
Hyperbolic Type ◽  
Scattering States ◽  
Relativistic Scattering

Exact solutions of the sine hyperbolic type potential

2019 ◽  
Vol 57 (8) ◽  
pp. 1924-1931 ◽  
Author(s):  
Qian Dong ◽  
Ariadna J. Torres-Arenas ◽  
Guo-Hua Sun ◽  
O. Camacho-Nieto ◽  
Smain Femmam ◽  
...  
Keyword(s):  
Exact Solutions ◽  
Hyperbolic Type ◽  
Type Potential
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