Analytical Solution of the Schrödinger Equation with Spatially Varying Effective Mass for Generalised Hylleraas Potential | Zendy

Sanjib Meyur | Zendy; Smarajit Maji | Zendy; S. Debnath | Zendy

Open Access

Analytical Solution of the Schrödinger Equation with Spatially Varying Effective Mass for Generalised Hylleraas Potential

Author(s) -

Sanjib Meyur,

Smarajit Maji,

S. Debnath

Publication year - 2014

Publication title -

advances in high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.59

H-Index - 49

eISSN - 1687-7365

pISSN - 1687-7357

DOI - 10.1155/2014/952597

Subject(s) - eigenfunction , bound state , hypergeometric function , physics , eigenvalues and eigenvectors , schrödinger equation , mathematical physics , exact solutions in general relativity , upper and lower bounds , quantum mechanics , mathematical analysis , mathematics

We have obtained exact solution of the effective mass Schrödinger equation for the generalised Hylleraas potential. The exact bound state energy eigenvalues and corresponding eigenfunctions are presented. The bound state eigenfunctions are obtained in terms of the hypergeometric functions. Results are also given for the special case of potential parameter

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