Hamiltonian of Multipotential Field in Nanorobotics

Branko Novakovic, Dubravko Majetic, Josip Kasac, Danko Brezak

As it is well known, nanorobotics is the field that deals with the controlled manipulation with atomic and molecular-sized objects. In order to control nanorobots in the regions of mechanics, electronics, electromagnetism, photonics and biomaterials we have to have the ability to construct of the related artificial control potential fields. At the nanoscale the control dynamics is very complex because there are very strong interactions between nanorobots, manipulated objects and nanoenvironment. The problem is to design the control dynamics that will compensate or/and control the mentioned interactions. The first step in designing of the control dynamics for nanorobots is the development of the relativistic Hamiltonian (Hamilton functions) that will include external artificial control potential fields. Thus, derivation of the first and second form of the relativistic Hamiltonians for nanorobots control is presented in this paper.