On Higher-Order Wave Equations in GUP Formalism
In our short note, the fourth-order modified Schrödinger equation due to generalized uncertainty principle is considered in one dimension with box problem as a typical example. The problem is transformed to Laplace space and the analytical solutions are reported via basic properties the transform. The approach, unlike other techniques, has the potential to consider the modified wave equations in two and three dimensions using the complex analysis.
Publisher URL: https://link.springer.com/article/10.1007/s00601-017-1322-2