Abstract

A derivation for equispaced conduction band in the Cd_xZn_1-xSe quantum well is presented using the coordinate transform (CT) based procedure. The procedure starts with the effective mass Schrödinger equation, with potential tailored along the one dimensional harmonic oscillator (IDHO). The electron effective mass in the well is space dependent and varies proportionally with the potential, taking as the local conduction band edge. A value of 720 meV the conduction band edge according to Dingle’s proposal of 85.15 of conduction-valence band partition (Basu, 1997) is adopted in this article. Two Hamiltonians were derived, one exhibits a confining potential (for ) that may be realized by appropriate grading of . The second Hamiltonian has a non-confining potential (for) with the electron effective mass . This is not realizable. Equaispaced level quantum well are scare in the interest of pursuing this work.

Key words: Quantum well, effective mass, Schodinger equation, confinement.