Dergiler / Turkish Journal of Physics / 2004 / Cilt: 28 - Sayı: 3
Solution of the Schrödinger Equation with One and Two Timensional Double-well Potentials
- Sayfa
- 161–167
- DOI
- —
Özet
The Schrödinger equation with one and two dimensional potentials are solved in the framework of the sl2(R) Lie algebra. Eigenfunctions of the Schrödinger equation for various asymmetric double-well potentials have been determined and the eigenstates are expressed in terms of the orthogonal polynomials. The solution of the double-well potential in two dimension have been analyzed.
Abstract
The Schrödinger equation with one and two dimensional potentials are solved in the framework of the sl2(R) Lie algebra. Eigenfunctions of the Schrödinger equation for various asymmetric double-well potentials have been determined and the eigenstates are expressed in terms of the orthogonal polynomials. The solution of the double-well potential in two dimension have been analyzed.