Abstract
An eight-component relativistic wave equation for spin- 1/2 particles is derived. It is obtained from a spin-1/2 wave equation, which contains second-order derivatives in both space and time, by a procedure involving the linearization of the time derivative. It is in Hamiltonian form and is analogous to the two-component spin-0 equation, which features the use of an indefinite inner product in the description of the solution space. It is used to produce the relativistic bound-state energy eigenvalue spectrum and wavefunctions for the hydrogen atom.
| Original language | English |
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| Pages (from-to) | 157-167 |
| Number of pages | 11 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 29 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1996 |