# On spontaneous wave function collapse and quantum field theory

@article{Tumulka2006OnSW, title={On spontaneous wave function collapse and quantum field theory}, author={Roderich Tumulka}, journal={Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences}, year={2006}, volume={462}, pages={1897 - 1908} }

One way of obtaining a version of quantum mechanics without observers, and thus of solving the paradoxes of quantum mechanics, is to modify the Schrödinger evolution by implementing spontaneous collapses of the wave function. An explicit model of this kind was proposed in 1986 by Ghirardi, Rimini & Weber (GRW), involving a nonlinear, stochastic evolution of the wave function. We point out how, by focusing on the essential mathematical structure of the GRW model and a clear ontology, it can be…

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## References

SHOWING 1-10 OF 37 REFERENCES

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…

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

- Physics
- 2003

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…

Generalized stochastic Schrödinger equations for state vector collapse

- Mathematics, Physics
- 2001

A number of authors have proposed stochastic versions of the Schrodinger equation, either as effective evolution equations for open quantum systems or as alternative theories with an intrinsic…

Spontaneous Collapse Models on a Lattice

- Physics
- 2004

We present spontaneous collapse models of field theories on a 1+1 null lattice, in which the causal structure of the lattice plays a central role. Issues such as “locality,” “nonlocality,” and…

A Proposed Solution of the Measurement Problem in Quantum Mechanics by a Hidden Variable Theory

- Physics
- 1966

The measurement problem in quantum mechanics is re-examined and it is shown that it cannot really be solved in a satisfactory way, within the framework of the usual interpretation of the theory. We…

Combining stochastic dynamical state-vector reduction with spontaneous localization.

- PhysicsPhysical review. A, General physics
- 1989

A linear equation of motion for the state vector is presented, in which an anti-Hermitian Hamiltonian that fluctuates randomly is added to the usual Hamiltonian of the Schr\"odinger equation. It is…

Markov processes in Hilbert space and continuous spontaneous localization of systems of identical particles.

- PhysicsPhysical review. A, Atomic, molecular, and optical physics
- 1990

Stochastic differential equations describing the Markovian evolution of state vectors in the quantum Hilbert space are studied as possible expressions of a universal dynamical principle and the stochastic evolution is proved to induce continuous dynamical reduction of the state vector onto mutually orthogonal subspaces.

A Relativistic Version of the Ghirardi–Rimini–Weber Model

- Physics
- 2006

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…

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…