Kavli Affiliate: Frank Wilczek
| First 5 Authors: Frank Wilczek, Zara Yu, , ,
| Summary:
Postulating the identification of $psi^*(x, t) psi(x,t)$ with a physical
probability density is unsatisfactory conceptually and overly limited
practically. For electrons, there is a simple, calculable relativistic
correction proportional to $nabla psi^* cdot nabla psi$. In particular,
zeroes of the wave function do not indicate vanishing probability density of
presence. We derive a correction of this kind from a Lagrangian, in a form
suitable for wide generalization and use in effective field theories. Thus we
define a large new class of candidate models for (quasi-)particles and fields,
featuring modified {it kinetic/} terms. We solve for the stationary states
and energy spectrum in some representative problems, finding striking effects
including the emergence of negative effective mass at high energy and of
localization by energy. end{abstract}
| Search Query: ArXiv Query: search_query=au:”Frank Wilczek”&id_list=&start=0&max_results=3