Norman Dombey and Fuad M Saradzhev 2000 J. Phys. A: Math. Gen. 33 4491 doi:10.1088/0305-4470/33/24/307
Norman Dombey1 and Fuad M Saradzhev2
Show affiliationsThe relativistic two-body system in (1+1)-dimensional quantum electrodynamics is studied. It is proved that the eigenvalue problem for the two-body Hamiltonian without the self-interaction terms reduces to the problem of solving a one-dimensional stationary Schrödinger-type equation with an energy-dependent effective potential which includes the δ-functional and inverted oscillator parts. The conditions determining the metastable energy spectrum are derived, and the energies and widths of the metastable levels are estimated in the limit of large particle masses. The effects of the self-interaction are discussed.
34L40 Particular operators (Dirac, one-dimensional Schrödinger, etc.)
Issue 24 (23 June 2000)
Received 12 October 1999, in final form 25 April 2000
Norman Dombey and Fuad M Saradzhev 2000 J. Phys. A: Math. Gen. 33 4491
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