Algebraic Approach to the Position-Dependent Mass Quantum Systems | Chapter 7 | Fundamental Research and Application of Physical Science Vol. 3

 The position-weak mass Schrodinger equation (PDMSE) arises the O von Roos quantum Hamiltonian that models to position-dependent effective bulk quantum methods. The algebraic study of its factorization is distinguished in this work with the factorization of the established constant bulk Schrödinger equation so that two together equations are connected by similarity transformations. The approach admits building solvable cases of the PDMSE for some value of the doubt parameters in the general Hamiltonian of O von Roos, so it maybe considered as a united treatment of the PDMSE that contains as particular cases those Hamiltonians of differing authors such as BenDaniel-Duke, Gora-Williams, Zhu-Kroemer and Li- Kuhn, among possible choice. We explicitly show the PDMSE answers coming from the harmonic, Morse and multiparameter epidemic-type potentials. The method is general and maybe easily comprehensive to other potential models and position dependent bulk distributions useful in the analytical modeling of quantum schemes.

Author(s) Details:

Gerardo Antonio Ovando Zuniga,
Metropolitan Autonomous University, Campus Azcapotzalco, Mexico City, Mexico.

Jose Juan Pena Gil,
Metropolitan Autonomous University, Campus Azcapotzalco, Mexico City, Mexico.

Jesus Morales Rivas,
Metropolitan Autonomous University, Campus Azcapotzalco, Mexico City, Mexico.

Please see the link here: https://stm.bookpi.org/FRAPS-V3/article/view/10343