Analytical solution to position dependent mass Schrodinger equation

作者：Jha Pankaj K^*; Eleuch Hichem; Rostovtsev Yuri V

来源：Journal of Modern Optics, 2011, 58(8): 652-656.

DOI：10.1080/09500340.2011.562617

• position dependent mass
• Riccati equation
• scattering
• two-level system
• rotating wave approximation

Using a recently developed technique to solve the Schrodinger equation for constant mass, we have studied the regime in which the mass varies with position, i.e. the position-dependent mass Schrodinger equation (PDMSE). We obtained an analytical solution for the PDMSE and applied our approach to study a position dependent mass m(x) particle scattered by a potential V(x). We have also studied the structural analogy between the PDMSE and the two-level atomic system interacting with a classical field.

• 出版日期2011