Abstract
The spinless Salpeter equation can be regarded as the eigenvalue equation of a Hamiltonian that involves the relativistic kinetic energy and therefore is, in general, a nonlocal operator. Accordingly, it is hard to find solutions of this bound-state equation by exclusively analytic means. Nevertheless, a lot of tools enables us to constrain the resulting bound-state spectra rigorously. We illustrate some of these techniques for the example of the Hulthén potential.
| Original language | English |
|---|---|
| Article number | 1450181 |
| Number of pages | 10 |
| Journal | International Journal of Modern Physics A |
| Volume | 29 |
| Issue number | 29 |
| DOIs | |
| Publication status | Published - 20 Nov 2014 |
Austrian Fields of Science 2012
- 103036 Theoretical physics
Keywords
- Relativistic bound states
- Bethe-Salpeter formalism
- spinless Salpeter equation
- Rayleigh-Ritz variational technique
- Hulthen potential
- critical potential parameters
- BOUND-STATES
- SCHRODINGER-EQUATION
- Critical potential parameters
- Hulthén potential
- Spinless Salpeter equation
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