Bohmian Trajectories as the Foundation of Quantum Mechanics
Sheldon Goldstein, Roderich Tumulka, Nino Zanghì
Abstract
Sheldon Goldstein, Roderich Tumulka, Nino Zanghì
Abstract
Bohmian trajectories have been used for various purposes, including the numerical simulation of the time-dependent Schrödinger equation and the visualization of timedependent wave functions. We review the purpose they were invented for: to serve as the foundation of quantum mechanics, i.e., to explain quantum mechanics in terms of a theory that is free of paradoxes and allows an understanding that is as clear as that of classical mechanics. Indeed, they succeed in serving that purpose in the context of a theory known as Bohmian mechanics, to which this article is an introduction.
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Bohmian trajectories have been used for various purposes, including the numerical simulation of the time-dependent Schrödinger equation and the visualization of timedependent wave functions. We review the purpose they were invented for: to serve as the foundation of quantum mechanics, i.e., to explain quantum mechanics in terms of a theory that is free of paradoxes and allows an understanding that is as clear as that of classical mechanics. Indeed, they succeed in serving that purpose in the context of a theory known as Bohmian mechanics, to which this article is an introduction.
Key concepts: Foundation (evidence), Classical mechanics, De Broglie–Bohm theory, Physics, Quantum, Quantum mechanics, Geography, Archaeology