Mathematics
Scientific paper
Feb 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976nciml..15..309b&link_type=abstract
Nuovo Cimento, Lettere, vol. 15, Feb. 28, 1976, p. 309-313.
Mathematics
3
Gravitational Fields, Quantum Electrodynamics, Radiation Distribution, Canonical Forms, Gauge Invariance, Gravitational Effects, Gravitational Waves, Hamiltonian Functions, Kernel Functions, Linearization, Points (Mathematics), Radiation Effects, Relativistic Theory
Scientific paper
The exact solution to the problem of a material point interacting with an external linearized gravitational-radiation field is obtained in the framework of the quantum theory of a material point interacting with external radiation and scalar wave fields. The Lagrangian formalism is established by means of a path integral, the canonical transformation is examined, and the kernel for the quantum process is evaluated. It is noted that the present result could be used to investigate more complex models, such as the relativistic string. It is concluded that the method might be applied to construct a quantum theory of electrodynamics in the presence of external gravitational radiation.
Barducci Alessandro
Giachetti Riccardo
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