scholarly journals Conditionally exactly solvable potential and dual transformation in quantum mechanics

2004 ◽  
Vol 37 (12) ◽  
pp. L133-L135 ◽  
Author(s):  
B Bagchi ◽  
C Quesne
Keyword(s):  
Quantum Mechanics ◽  
Dual Transformation ◽  
Solvable Potential ◽  
Exactly Solvable Potential ◽  
Exactly Solvable

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

EXACTLY-SOLVABLE COUPLED-CHANNEL MODELS FROM SUPERSYMMETRIC QUANTUM MECHANICS

2008 ◽  
Vol 22 (23) ◽  
pp. 2277-2286 ◽  
Author(s):  
JEAN-MARC SPARENBERG ◽  
ANDREY M. PUPASOV ◽  
BORIS F. SAMSONOV ◽  
DANIEL BAYE
Keyword(s):  
Inverse Problem ◽  
Quantum Mechanics ◽  
Bound States ◽  
Potential Model ◽  
Analytical Form ◽  
Exactly Solvable Potential ◽  
Exactly Solvable ◽  
Potential Matrix ◽  
Coupled Channel ◽  
Factorization Energy

Starting from a system of N radial Schrödinger equations with a vanishing potential and finite threshold differences between the channels, a coupled N × N exactly-solvable potential model is obtained with the help of a single non-conservative supersymmetric transformation. The obtained potential matrix, which subsumes a result obtained in the literature, has a compact analytical form, as well as its Jost matrix. It depends on N(N + 1)/2 unconstrained parameters and on one upper-bounded parameter, the factorization energy. For N = 2, previous results are reviewed, in particular regarding the number of bound states and resonances of the potential. A schematic inverse problem with one resonance is considered.

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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