Abstract:
The generalized special relativity is used to construct new
quantum momentum perturbation theory. This theory is based
on momentum eigen equation. Treating elementary particles as
vibrating strings or strings of finite length or strings of periodic
structure, the momentum was shown to be quantized, for
harmonic oscillator particle in a crystal and in a box.
In this work generalized special relativistic spatial and
momentum perturbation theory was developed. This theory
reduced to Schrödinger picture in the momentum space. It
shows that when considering the particle as an oscillating string,
the energy is quantized in any arbitrary field. The model also
describes spatial evolution of the quantum interacting system
typical to the time evolution model in quantum field theory.
