Bohmian Conditional Wave Functions (and the status of the quantum state)

Emergent Quantum Mechanics 2015

Norsen, Travis^1

Physics Dept., Smith College, Northampton

MA

01063, United States^1

关键词: Pilot waves;    Quantum state;    Single particle;    Sub-systems;    Toy models;    Type theory;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/701/1/012003/pdf
DOI  :  10.1088/1742-6596/701/1/012003

来源: IOP

【 摘 要 】

The de Broglie - Bohm pilot-wave theory - uniquely among realistic candidate quantum theories - allows a straightforward and simple definition of the wave function of a subsystem of some larger system (such as the entire universe). Such sub-system wave functions are called "Conditional Wave Functions" (CWFs). Here we explain this concept and indicate the CWF's role in the Bohmian explanation of the usual quantum formalism, and then develop (and motivate) the more speculative idea that something like single-particle wave functions could replace the (ontologically problematical) universal wave function in some future, empirically adequate, pilot-wave-type theory. Throughout the presentation is pedagogical and points are illustrated with simple toy models.