On exact solutions of the nonlinear Heisenberg-Klein-Gordon equation in a space-time of constant spacelike curvature

Mathematics – Mathematical Physics

Scientific paper

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Nonlinear Or Nonlocal Theories And Models

Scientific paper

A nonlinear complex scalar field theory associated with a ''squared'' Heisenberg-Pauli-Weyl nonlinear spinor equation is considered. In a d+1 dimensional universe of constant spatial curvature exact localized solutions for the resulting [||φ||2d/(d-2)-const ||φ||2(d-1)/(d-2)] model are constructed. For ''soliton-like'' solutions with quantized (nontopological) charge the field energy and the Heisenberg uncertainty principle are analyzed.

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