Time-Canal Surfaces Around Biharmonic Particles and Its Lorentz Transformations in Heisenberg Space-Time

Abstract

In this work, we introduce a new space-time using Heisenberg group and call this space as "Heisenberg space-time". We give a geometrical description of time-canal surfaces around timelike biharmonic particle in H14. Moreover, we obtain Lorentz transformations this particles. Additionally, we illustrate our results. Finally, we characterize charged bihamonic particles in electromagnetic fields on Heisenberg space-time. © 2013 Springer Science+Business Media New York.