Abstract
De Broglie-type relations for the energy and momentum of the space-localized solutions to a class of nonlinear complex Hamiltonian evolution equations are derived without any “external assumptions.” It is found that the Hermitian norm of the same solutions plays a more fundamental role than a mere normalization constant. The quantum commutator is obtained from the infinite-dimensional complex Poisson bracket, and it is in complete agreement with the above find. The significance that such relationships should exist, while being entirely independent of the concepts of pointlike particle and/or point charge, is briefly discussed.
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