Relativistic version of the imaginary-time formalism |
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Authors: | V D Mur B M Karnakov V S Popov |
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Institution: | (1) Moscow Engineering-Physics Institute, 115409 Moscow, Russia;(2) Institute of Theoretical and Experimental Physics, 117218 Moscow, Russia |
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Abstract: | A relativistic version of the quasiclassical imaginary-time formalism is developed. It permits calculation of the tunneling
probability of relativistic particles through potential barriers, including barriers lacking spherical symmetry. Application
of the imaginary-time formalism to concrete problems calls for finding subbarrier trajectories which are solutions of the
classical equations of motion, but with an imaginary time (and thus cannot be realized in classical mechanics). The ionization
probability of an s level, whose binding energy can be of the order of the rest energy, under the action of electric and magnetic fields of different
configuration is calculated using the imaginary-time formalism. Besides the exponential factor, the Coulomb and pre-exponential
factors in the ionization probability are calculated. The Hamiltonian approach to the tunneling of relativistic particles
is described briefly. Scrutiny of the ionization of heavy atoms by an electric field provides an additional argument against
the existence of the “Unruh effect.”
Zh. éksp. Teor. Fiz. 114, 798–820 (September 1998) |
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