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Namely, we consider $$H=((D-A)\\cdot\\boldsymbol{\\sigma})^2-V$$ with $$V=\\sum_{1\\le m\\le M} \\frac{Z_m}{|x-y_m|}$$ and a corresponding Multiparticle Quantum Hamiltonian $$ \\mathsf{H}=\\sum_{1\\le n\\le N} H_{x_n} +\\sum_{1\\le n < n'\\le N}|x_n-x_n'|^{-1} $$ on the Fock space $\\wedge _{1\\le n\\le N} L^2(\\mathbb{R}^3, \\mathbb{C}^2)$. Here $A=A^0+A'$ where $A^0=\\frac{1}{2}(-B x_2, B x_1,0)$ is an external magnetic field and $A'$ is self-generated magnetic field. 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