Can the wave function in configuration space be replaced by single-particle wave functions in physical space?

@article{Norsen2014CanTW,
  title={Can the wave function in configuration space be replaced by single-particle wave functions in physical space?},
  author={Travis Norsen and Damiano Marian and Xavier Oriols},
  journal={Synthese},
  year={2014},
  volume={192},
  pages={3125-3151}
}
The ontology of Bohmian mechanics includes both the universal wave function (living in 3N-dimensional configuration space) and particles (living in ordinary 3-dimensional physical space). Proposals for understanding the physical significance of the wave function in this theory have included the idea of regarding it as a physically-real field in its 3N-dimensional space, as well as the idea of regarding it as a law of nature. Here we introduce and explore a third possibility in which the… 

A Pilot-Wave Approach to the Many-Body Problem: Beyond the Small Entanglement Approximation

The de Broglie–Bohm pilot-wave theory provides an illuminating candidate solution to the philosophical problems that plague orthodox quantum theory. But the pilot-wave theory also has the potential

The de Broglie-Bohm weak interpretation

We define the de Broglie-Bohm (dBB) weak interpretation as the dBB interpretation restricted to particles in unbound states whose wave function is defined in the three-dimensional physical space, and

The wave-function as a multi-field

It is generally argued that if the wave-function in the de Broglie–Bohm theory is a physical field, it must be a field in configuration space. Nevertheless, it is possible to interpret the

The wave-function as a multi-field

It is generally argued that if the wave-function in the de Broglie–Bohm theory is a physical field, it must be a field in configuration space. Nevertheless, it is possible to interpret the

Replacing the Singlet Spinor of the EPR-B Experiment in the Configuration Space with Two Single-Particle Spinors in Physical Space

Recently, for spinless non-relativistic particles, Norsen (Found Phys 40:1858–1884, 2010) and Norsen et al. (Synthese 192:3125–3151, 2015) show that in the de Broglie–Bohm interpretation it is

The WaveFunction as a Multi-Field

Forthcoming in the European Journal for Philosophy of Science It is generally argued that if the wave-function in the de Broglie–Bohm theory is a physical field, it must be a field in configuration

What Is the WaveFunction ? 1 2 The Multi-Field 2 3 A Multitude of Fields Is Not a Multi-Field 4 4 Against a Field in Configuration

It is generally argued that if the wave-function in the de Broglie–Bohm theory is a physical field, it must be a field in configuration space. Nevertheless, it is possible to interpret the

Do(es the Influence of) Empty Waves Survive in Configuration Space?

  • T. Durt
  • Physics
    Foundations of Physics
  • 2022
The de Broglie–Bohm interpretation is a no-collapse interpretation, which implies that we are in principle surrounded by empty waves generated by all particles of the universe, empty waves that will

Particles and Laws of Nature in Classical and Quantum Physics

I combine the idea of a primitive ontology with the metaphysics of laws of nature. In so doing, I examine the theoretical entities that are postulated in Newtonian mechanics, classical

Conditions for the classicality of the center of mass of many-particle quantum states

We discuss the conditions for the classicality of quantum states with a very large number of identical particles. By defining the center of mass from a large set of Bohmian particles, we show that it

References

SHOWING 1-10 OF 42 REFERENCES

The Theory of (Exclusively) Local Beables

It is shown how, starting with the de Broglie–Bohm pilot-wave theory, one can construct a new theory of the sort envisioned by several of QM’s founders: a Theory of Exclusively Local Beables (TELB).

Bohmian Mechanics and the Meaning of the Wave Function

We outline how Bohmian mechanics works: how it deals with various issues in the foundations of quantum mechanics and how it is related to the usual quantum formalism. We then turn to some objections

Quantum Equilibrium and the Role of Operators as Observables in Quantum Theory

Bohmian mechanics is arguably 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

Computation of many-particle quantum trajectories with exchange interaction: application to the simulation of nanoelectronic devices

An algorithm based on the use of conditional Bohmian wave functions which are solutions of single-particle pseudo-Schrödinger equations to deal with the exchange interaction in non-separable quantum systems is presented.

On the Role of Density Matrices in Bohmian Mechanics

It is well known that density matrices can be used in quantum mechanics to represent the information available to an observer about either a system with a random wave function (“statistical mixture”)

Quantum equilibrium and the origin of absolute uncertainty

The quantum formalism is a “measurement” formalism-a phenomenological formalism describing certain macroscopic regularities. We argue that it can be regarded, and best be understood, as arising from

Many-particle Hamiltonian for open systems with full Coulomb interaction: Application to classical and quantum time-dependent simulations of nanoscale electron devices

A many-particle Hamiltonian for a set of particles with Coulomb interaction inside an open system is described without any perturbative or mean-field approximation. The boundary conditions of the

Computation of quantum electron transport with local current conservation using quantum trajectories

A recent proposal for modeling time-dependent quantum electron transport with Coulomb and exchange correlations using quantum (Bohm) trajectories (Oriols 2007 Phys. Rev. Lett. 98 066803) is extended

Unified dynamics for microscopic and macroscopic systems.

A modified quantum dynamics for the description of macroscopic objects is constructed and it is shown that it forbids the occurrence of linear superpositions of states localized in far-away spatial regions and induces an evolution agreeing with classical mechanics.

Models of Wave-function Collapse, Underlying Theories, and Experimental Tests

We describe the state of the art in preparing, manipulating and detecting coherent molecular matter. We focus on experimental methods for handling the quantum motion of compound systems from diatomic