scholarly journals Solution of a Novel Quasi-Exactly Solvable Potential via Asymptotic Iteration Method

2009 ◽  
Vol 121 (3) ◽  
pp. 437-443 ◽  
Author(s):  
O. Ozer
Keyword(s):  
Iteration Method ◽  
Asymptotic Iteration Method ◽  
Solvable Potential ◽  
Exactly Solvable Potential ◽  
Exactly Solvable

EIGENENERGIES FOR THE RAZAVY POTENTIAL V(x) = (ζ cosh 2x-M)2 USING THE ASYMPTOTIC ITERATION METHOD

2007 ◽  
Vol 22 (22) ◽  
pp. 1677-1684 ◽  
Author(s):  
A. J. SOUS
Keyword(s):  
Excited States ◽  
Iteration Method ◽  
Asymptotic Iteration Method ◽  
Arbitrary Parameter ◽  
Exactly Solvable

By using the asymptotic iteration method, we have calculated numerically the eigenenergies En of Razavy potential V(x) = (ζ cosh 2x-M)2. The calculated eigenenergies are identical with known values in the literature. Finally, the non-quasi-exactly solvable eigenenergies of Razavy potential for the highest excited states are numerically determined. Some new results for arbitrary parameter M also presented.

scholarly journals The scattering amplitude for a newly found exactly solvable potential

2013 ◽  
Vol 331 ◽  
pp. 313-316 ◽  
Author(s):  
Rajesh Kumar Yadav ◽  
Avinash Khare ◽  
Bhabani Prasad Mandal
Keyword(s):  
Scattering Amplitude ◽  
Solvable Potential ◽  
Exactly Solvable Potential ◽  
Exactly Solvable

THE TRANSMUTATION METHOD AND SCHRÖDINGER EQUATION WITH PERTURBED EXACTLY SOLVABLE POTENTIAL

2009 ◽  
Vol 17 (01) ◽  
pp. 1-10 ◽  
Author(s):  
H. KOYUNBAKAN
Keyword(s):  
Schrödinger Equation ◽  
Explicit Formula ◽  
Schrodinger Equation ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Solvable Potential ◽  
Exactly Solvable Potential ◽  
Exactly Solvable ◽  
Transmutation Operator

In this paper, it is proved the existence of a transmutation operator between two schrödinger equations with perturbed exactly solvable potential. An explicit formula for the solution of nucleus function by using Varsha and Jafari's method is also provided.

scholarly journals Generation of a novel exactly solvable potential

2015 ◽  
Vol 379 (37) ◽  
pp. 2180-2183 ◽  
Author(s):  
Jonathan Bougie ◽  
Asim Gangopadhyaya ◽  
Jeffry V. Mallow ◽  
Constantin Rasinariu
Keyword(s):  
Solvable Potential ◽  
Exactly Solvable Potential ◽  
Exactly Solvable
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