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.
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De Angelis, G.F., Serva, M. (1995). Relativistic Quantum Mechanics and Path Integral for Klein-Gordon Equation. In: Garola, C., Rossi, A. (eds) The Foundations of Quantum Mechanics — Historical Analysis and Open Questions. Fundamental Theories of Physics, vol 71. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0029-8_17
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DOI: https://doi.org/10.1007/978-94-011-0029-8_17
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