Physics – Quantum Physics
Scientific paper
2001-05-12
Phys.Scripta 68 (2003) 22-31
Physics
Quantum Physics
16 standard LaTeX pages. The packages AMS-LaTeX and amsfonts are required. The paper continuous the application of fibre bundl
Scientific paper
10.1238/Physica.Regular.068a0002
We propose a new fibre bundle formulation of the mathematical base of relativistic quantum mechanics. At the present stage the bundle form of the theory is equivalent to its conventional one, but it admits new types of generalizations in different directions. In the present first part of our investigation we consider the time-dependent or Hamiltonian approach to bundle description of relativistic quantum mechanics. In it the wavefunctions are replaced by (state) liftings of paths or sections along paths of a suitably chosen vector bundle over space-time whose (standard) fibre is the space of the wavefunctions. Now the quantum evolution is described as a linear transportation (by means of the evolution transport along paths in the space-time) of the state liftings/sections in the (total) bundle space. The equations of these transportations turn to be the bundle versions of the corresponding relativistic wave equations.
No associations
LandOfFree
Fibre bundle formulation of relativistic quantum mechanics. I. Time-dependent approach does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Fibre bundle formulation of relativistic quantum mechanics. I. Time-dependent approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fibre bundle formulation of relativistic quantum mechanics. I. Time-dependent approach will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-367092