Quantum bound states with interaction potential having linear combination of exponential functions and its possible applications

Abstract

We study the bound states formed in a potential which can be expressed as linear combination of exponential functions. The potential described here features to transform from single well into double just by adjusting control parameters. We solve the Schrodinger wave equation by two different strategies viz. variational technique as well as numerically using shooting method and obtained a close agreement between calculated ground state energies. We extended our discussion to its possible applications in matter-wave interferometry and generation of matter waves. This potential is also found to be useful in the study of interaction between atoms in heterostructures. Finally, we suggest that one can produce finite number of matter waves as desired by using this potential.