Construction of solvable potentials from Generalized Hulthen Potential using Green’s Function technique
Keywords: Extended transformation, Schrodinger Green’s function equation, bound state and scattering state solutions, non-power law potential, Exactly solvable potential.
Abstract: We have applied extended transformation method to an exactly solvable non power multi-term potential to generate a set of exactly solved quantum systems in any chosen dimensional Euclidean space. The bound state and scattering state S-wave solution of Schrodinger Green’s function equation of the constructed quantum systems are reported. Taking the first term of the parent potential as working potential the generated potential behaves like a potential qualitatively similar to the Rosen-Morse potential. The generated potential, taking the second term as working potential belongs to the family of the Poschl-Teller potential and the third working potential reverse back to the original potential. Existence of normalizable eigenfunctions for these systems found to be dependent on the local and asymptotic behavior of the transformation function.
"Construction of solvable potentials from Generalized Hulthen Potential using Green’s Function technique", IJNRD - INTERNATIONAL JOURNAL OF NOVEL RESEARCH AND DEVELOPMENT (www.IJNRD.org), ISSN:2456-4184, Vol.7, Issue 3, page no.658-667, March-2022, Available :https://ijnrd.org/papers/IJNRD2203081.pdf
Volume 7
Issue 3,
March-2022
Pages : 658-667
Paper Reg. ID: IJNRD_180730
Published Paper Id: IJNRD2203081
Downloads: 000118837
Research Area: Physics
Country: Dist. Biswanath, Assam, India
ISSN: 2456-4184 | IMPACT FACTOR: 8.76 Calculated By Google Scholar | ESTD YEAR: 2016
An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 8.76 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator
Publisher: IJNRD (IJ Publication) Janvi Wave
