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Three magnetic relativistic Schr\"odinger operators are considered,corresponding to the classical relativistic Hamiltonian symbol with bothmagnetic vector and electric scalar potentials. Path integral representationsfor the solutions of their respective imaginary-time relativistic Schr\"odingerequations, i.e. heat equations are given in two ways. The one is by means ofthe probability path space measure coming from the L\'evy process concerned,and the other is through time-sliced approximation with Chernoff's theorem.

On Three Imaginary-time Path Integral Formulas with Magnetic Fields in Relativistic Quantum Mechanics