Bulg. J. Phys. vol.37 no.3 (2010), pp. 133-143

Exact S-wave Solution of Schrödinger Equation for Quantum Bound State Non-Power Law Systems

S.A.S. Ahmed1, L. Buragohain2
1Department of Physics, Gauhati University, Guwahati-781014, India
2Department of Physics, Chaiduar College, Gohpur-784168, India
Abstract. We have applied the extended transformation method to a non-powerlaw potential to generate a set of exactly solved quantum systems (EQS) in any chosen dimensional Euclidean space. The bound state S-wave solution of the Schrödinger equation of the generated quantum systems are reported. The generated quantum systems are generally in sturmian form. We also report a case-specific regrouping technique to convert a sturmian quantum system (QS) to a normal/physical exactly solved quantum system. The normalizability of the generated quantum systems is given.

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