Weyl quantized Hamiltonians of relativistic spinless particles in magnetic fields (Q752431)

This concerns relativistic spinless particles in magnetic fields. The classical Hamiltonian is \(p_ m(x,\xi):=[| c\xi -eA(x)|^ 2+m^ 2c^ 4]^{1/2}\). It turns out, for the Weyl quantization, in constant magnetic fields, this is an essentially selfadjoint operator. Some convergence properties and lower bounds are derived, too.