Solitary waves and Bohmian mechanics.

Abbondandolo, Alberto; Benci, Vieri · Proc Natl Acad Sci U S A · 2002

basic_science · Level V

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Abstract

We study a Schrödinger-like equation with a nonlinear term. This nonlinearity has the effect of allowing the existence of highly concentrated stable solitary waves of a topological nature. Such solitary waves tend to move according to Bohmian mechanics. Therefore our model can be considered a nonsingular realization of de Broglie pilot wave theory.