# A Relativistic Version of the Ghirardi–Rimini–Weber Model

@article{Tumulka2006ARV, title={A Relativistic Version of the Ghirardi–Rimini–Weber Model}, author={Roderich Tumulka}, journal={Journal of Statistical Physics}, year={2006}, volume={125}, pages={821-840} }

Carrying out a research program outlined by John S. Bell in 1987, we arrive at a relativistic version of the Ghirardi-Rimini-Weber (GRW) model of spontaneous wavefunction collapse. The GRW model was proposed as a solution of the measurement problem of quantum mechanics and involves a stochastic and nonlinear modification of the Schrödinger equation. It deviates very little from the Schrödinger equation for microscopic systems but efficiently suppresses, for macroscopic systems, superpositions…

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## References

SHOWING 1-10 OF 41 REFERENCES

On the Common Structure of Bohmian Mechanics and the Ghirardi–Rimini–Weber Theory

- PhilosophyThe British Journal for the Philosophy of Science
- 2008

Bohmian mechanics and the Ghirardi–Rimini–Weber theory provide opposite resolutions of the quantum measurement problem: the former postulates additional variables (the particle positions) besides the…

Schrödinger: Are there quantum jumps?

- Physics
- 1987

If we have to go on with these damned quantum jumps, then I'm sorry that I ever got involved. E. Schrodinger Introduction I have borrowed the title of a characteristic paper by Schrodinger…

Collapse and Relativity

- Physics
- 2006

Ever since we have been in the possession of quantum theories without observers, such as Bohmian mechanics or the Ghirardi‐Rimini‐Weber (GRW) theory of spontaneous wave function collapse, a major…

Explicit wavefunction collapse and quantum measurement

- Physics
- 1996

In this thesis, we are concerned with models of explicit wavefunction collapse as a possible solution to the measurement problem of quantum mechanics. We examine the models where collapse is to…

Unified dynamics for microscopic and macroscopic systems.

- PhysicsPhysical review. D, Particles and fields
- 1986

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.

Book-Review - the Undivided Universe - an Ontological Interpretation of Quantum Theory

- Physics
- 1993

In the The Undivided Universe, David Bohn and Basil Hiley present a radically different approach to quantum theory. They develop an interpretation of quantum mechanics which gives a clear, intuitive…

Bohmian mechanics and quantum theory: an appraisal

- Physics
- 1996

Preface. I: Bohmian Mechanics: Background and Fundamentals. 1. The Causal Quantum Theory Program J.T. Cushing. 2. Bohmian Mechanics as the Foundation of Quantum Mechanics D. Durr, et al. 3.…

A Local Model of Explicit Wavefunction Collapse

- Physics
- 1996

A model of spontaneous wavefunction collapse, which is explicitly local and Lorentz-invariant, is defined. Some of the predictions of the model for specific experimental situations are derived. It is…

Simple Proof for Global Existence of Bohmian Trajectories

- Mathematics
- 2004

We address the question whether Bohmian trajectories exist for all times. Bohmian trajectories are solutions of an ordinary differential equation involving a wavefunction obeying either the…