Relativistic quantum mechanics and path integral for Klein-Gordon equation

G. F. De Angelis

M. Serva

pp. 187-200

in: Claudio Garola, Arcangelo Rossi (eds), The foundations of quantum mechanics, Berlin, Springer, 1995

Abstract

The subject of the paper is a path integral rapresentation for the semigroup ( { {e^{ - t{H_1}}}} t geqslant 0 ) generated by the quantum Hamiltonian H ₁ of a relativistic spinless particle in an external electromagnetic field. The result is compared with the "Feynman-Kac" formula which holds for relativistic Schrödinger operators.