Bohmian

Bohmian refers to the interpretation of quantum mechanics associated with physicist David Bohm. In its common form, Bohmian mechanics, also called the de Broglie-Bohm theory or pilot-wave theory, posits that quantum particles have definite positions at all times and follow deterministic trajectories guided by a wave function that evolves by the Schrödinger equation.

In Bohmian mechanics, the wave function acts as a real guiding field in configuration space. Each particle's velocity is determined by the guiding equation, which uses the wave function's form and spatial gradient. The theory is nonlocal: the motion of one particle can depend instantaneous on distant parts of the system through the wave function. Despite determinism, the theory reproduces the statistical predictions of standard quantum mechanics when particle distributions match the quantum equilibrium hypothesis (|ψ|^2).

Bohmian mechanics provides a solution to the quantum measurement problem by treating measurement as ordinary physical interaction, with outcomes determined by initial conditions. It is nonlocal and has faced challenges integrating with special relativity and field theory, though extensions to quantum field theory and certain relativistic formulations exist. The interpretation remains a minority but influential viewpoint in the foundations of quantum mechanics, discussed alongside other interpretations as a way to understand quantum phenomena without abandoning realism or determinism.