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Time-independent Hamiltonian for any linear constant-coefficient evolution equation
Carl M. Bender, Mariagiovanna Gianfreda, Nima Hassanpour +1
It is shown how to construct a time-independent Hamiltonian having only one degree of freedom from which an arbitrary linear constant-coefficient evolution equation of any order ca…
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…
Twofold Transition in PT-Symmetric Coupled Oscillators
Carl M. Bender, Mariagiovanna Gianfreda
The inspiration for this theoretical paper comes from recent experiments on a PT-symmetric system of two coupled optical whispering galleries (optical resonators). The optical syst…
Nonuniqueness of the C operator in PT-symmetric quantum mechanics
Carl M. Bender, Mariagiovanna Gianfreda
The C operator in PT-symmetric quantum mechanics satisfies a system of three simultaneous algebraic operator equations, , , and . These equations are diff…