Instability of a Pseudo-Relativistic Model of Matter with Self-Generated Magnetic Field

Details Instability of a Pseudo-Relativistic Model of Matter with Self-Generated Magnetic Field Instability of a Pseudo-Relativistic Model of Matter with Self-Generated Magnetic Field

1998-11-29

arxiv.org/abs/math-ph/9811028v1

J.Math.Phys. 40 (1999) 1780-1791

Physics

Mathematical Physics

13 pages, AMS-LaTeX

Scientific paper

10.1063/1.532834

For a pseudo-relativistic model of matter, based on the no-pair Hamiltonian, we prove that the inclusion of the interaction with the self-generated magnetic field leads to instability for all positive values of the fine structure constant. This is true no matter whether this interaction is accounted for by the Breit potential, by an external magnetic field which is chosen to minimize the energy, or by the quantized radiation field.

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