A Survey on Bohmian Mechanics

Abstract

Bohmian mechanics is the most naively obvious embedding imaginable of Schrödinger's equation into a completely coherent physical theory. It describes a world in which particles move in a highly non-Newtonian sort of way, one which may at first appear to have little to do with the spectrum of predictions of quantum mechanics. It turns out, however, that as a consequence of the defining dynamical equations of Bohmian mechanics, when a system has wave function $\psi$ its configuration is typically random, with probability density $\rho$ given by $|\psi {|}^2$, the quantum equilibrium distribution. It also turns out that the entire quantum formalism, operators as observables and all the rest, is a consequence of Bohmian mechanics.

9 pages, Revtex, To appear in Il Nuovo Cimento

References in corpus (2)

• Quantum Equilibrium and the Origin of Absolute Uncertainty
• On the Global Existence of Bohmian Mechanics

Cited by in corpus (29)

• Einstein, incompleteness, and the epistemic view of quantum states
• On the Common Structure of Bohmian Mechanics and the Ghirardi-Rimini-Weber Theory
• Predictions and Primitive Ontology in Quantum Foundations: A Study of Examples
• Quantum phenomena modelled by interactions between many classical worlds
• Bohmian mechanics and consistent histories
• On the Role of Density Matrices in Bohmian Mechanics
• The "Unromantic Pictures" of Quantum Theory
• Simple Proof for Global Existence of Bohmian Trajectories
• The Point Processes of the GRW Theory of Wave Function Collapse
• Nelsonian Mechanics Revisited
• A deterministic Bell model
• The Quantum Nature of Identity in Human Thought: Bose-Einstein Statistics for Conceptual Indistinguishability
• Time of Arrival from Bohmian Flow
• Quantum Mechanics in Multiply-Connected Spaces
• Bohmian arrival time without trajectories
• Time and Ensemble Averages in Bohmian Mechanics
• Quantum Philosophy: The Flight from Reason in Science
• Times of arrival: Bohm beats Kijowski
• On Superselection Rules in Bohm-Bell Theories
• Feynman's Path Integrals and Bohm's Particle Paths
• The Analogue of Bohm-Bell Processes on a Graph
• A procedure for calculating the many-particle Bohm quantum potential
• The quantum measurement problem enhanced
• Classical and Non-Relativistic Limits of a Lorentz-Invariant Bohmian Model for a System of Spinless Particles
• Two-Time Correlation Functions: Stochastic and Conventional Quantum Mechanics
• Bohmian mechanics of Klein-Gordon equation via quantum metric and mass
• Constructing and Constraining Wave Functions for Identical Quantum Particles
• Bohmian transmission and reflection dwell times without trajectory sampling
• Relativistic and Newton-Cartan Particle in de Broglie-Bohm Theory