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Elements of single-particle quantum mechanics in the pilot-wave interpretation

An elementary introduction to the interpretation of quantum mechanics known as "pilot-wave interpretation", initially proposed by Louis de Broglie and further elaborated by David Bohm, is presented. With the aim of adapting the treatment level to a first quantum-mechanics course, only the case of a single particle is considered, disregarding aspects associated with spin. The topics usually covered in such a course, namely the free particle, the bound particle, reflection by and transmission through a potential barrier, the hydrogen atom, and the double-slit experiment, are discussed from the viewpoint of the interpretation in question, focusing in particular on the graphic visualization of particle trajectories.

interpretation of quantum mechanics; pilot wave; single particle


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