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PT-symmetric interpretation of the electromagnetic self-force
Carl M. Bender, Mariagiovanna Gianfreda
In 1980 Englert examined the classic problem of the electromagnetic self-force on an oscillating charged particle. His approach, which was based on an earlier idea of Bateman, was…
Systems of coupled PT-symmetric oscillators
Carl M. Bender, Mariagiovanna Gianfreda, S. P. Klevansky
The Hamiltonian for a PT-symmetric chain of coupled oscillators is constructed. It is shown that if the loss-gain parameter is uniform for all oscillators, then as the number o…
An exactly solvable -symmetric dimer from a Hamiltonian system of nonlinear oscillators with gain and loss
I V Barashenkov, Mariagiovanna Gianfreda
We show that a pair of coupled nonlinear oscillators, of which one oscillator has positive and the other one negative damping of equal rate, can form a Hamiltonian system. Small-am…