On the quantisation of electron wave functions

✍ Scribed by L.J.F. Broer

• Publisher: Elsevier Science
• Year: 1941
• Weight: 529 KB
• Volume: 8
• Category: Article
• ISSN: 0031-8914
• DOI: 10.1016/s0031-8914(41)90073-3

✦ Synopsis

The Dirac wave equations are derived from a Lagrangian which is quadratic in the gradient by varying only two components of the wave function and its charge-conjugated, the other components being the canonical impulses. It is shown that the spinor wave field can be quantisised in this way completly analogous to the treatment of the scalar field by 1 vauli and Weisskopf. The energy-impulstensor derived from this Lagrangian turns out to be the well-known Tetrode tensor. Finally the foundation of the the ordinary perturbation treatment of the electronelectromagnetical field interaction is given in a simpler way, it appears that this treatment is not based on the energy density which is given by Tetrode's tensor.