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Relativistic quantum mechanics and path integral for Klein-Gordon equation

G. F. De Angelis M. Serva

pp. 187-200

Résumé

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.

Détails de la publication

Publié dans:

Garola Claudio, Rossi Arcangelo (1995) The foundations of quantum mechanics: historical analysis and open questions. Dordrecht, Springer.

Pages: 187-200

DOI: 10.1007/978-94-011-0029-8_17

Citation complète:

De Angelis G. F., Serva M., 1995, Relativistic quantum mechanics and path integral for Klein-Gordon equation. In C. Garola & A. Rossi (eds.) The foundations of quantum mechanics (187-200). Dordrecht, Springer.