Collapse of the State Vector

  title={Collapse of the State Vector},
  author={Steven Weinberg},
  journal={Physical Review A},
  • S. Weinberg
  • Published 29 September 2011
  • Physics
  • Physical Review A
Modifications of quantum mechanics are considered, in which the state vector of any system, large or small, undergoes a stochastic evolution. The general class of theories is described, in which the probability distribution of the state vector collapses to a sum of delta functions, one for each possible final state, with coefficients given by the Born rule. 
Quantum State Reduction
We propose an energy-driven stochastic master equation for the density matrix as a dynamical model for quantum state reduction. In contrast, most previous studies of state reduction have considered
Interpretations of Quantum Theory in the Light of Modern Cosmology
The difficult issues related to the interpretation of quantum mechanics and, in particular, the “measurement problem” are revisited using as motivation the process of generation of structure from
Uniqueness of the equation for quantum state vector collapse.
Here the most general class of continuous wave function evolutions under the assumption of no-faster-than-light signaling is identified, compatible with general physical requirements.
Possible role of gravity in collapse of the wave-function: a brief survey of some ideas
This article is a brief survey of some approaches to implementing the suggestion that collapse of the wave function is mediated by gravity. These approaches include: a possible connection between the
Ramsey interferometers as a test of open system evolution or a modified quantum-mechanical model
Abstract.By applying the basic concept of the density matrix in an open quantum system and modification of quantum mechanics, we derive the Kossakowski-Lindblad equation, and different properties of
Modeling Time's Arrow
This article addresses the origin of the arrow of time from a cosmological perspective motivated by a novel approach to quantum gravitation, based on a quantum counterpart of the equivalence principle, a general covariance of the dynamical phase space.
Quantum Dynamics as Landau–Lifshitz-Type Dynamics and Random Wave Function Collapse
It is first observed that quantum dynamics can be viewed as Landau–Lifshitz-type dynamics. Then, by using this fact, instability-induced random branching of deterministic dynamics is discussed as a
On the Reality of the Wavefunction
The wavefunction is ubiquitous as a mathematical tool, and is used across the fields, from quantum chemistry to molecular dynamics in biological processes, yet we don’t know what it actually
How fast is the wave function collapse
Using complex quantum Hamilton-Jacobi formulation, a new kind of non-linear equations is proposed that have almost classical structure and extend the Schroedinger equation to describe the collapse of
Ramsey Interferometers as a test for the correction to quantum mechanics
By applying the basic concept of the density matrix in an open quantum system and modification of quantum mechanics, we derive Kossakowski-Lindblad equation and different properties of this equation


Speakable and Unspeakable in Quantum Mechanics
The possibility of instantaneous communication between separated systems is discussed in a wider context by J
  • Helv. Phys. Acta 62,
  • 1989
  • 36, 219 (1984); R. Omnès, Rev. Mod. Phys. 64, 339 (1992); M. Gell–Mann and J. B. Hartle, in Complexity, Entropy, and the Physics of Information, ed. W. Zurek (Addison– Wesley, Reading, MA, 1990); in Proceedings of the Third International Symposium on the Foundations of Quantum Mechanics in the Light
  • 1990
For a survey and more recent references , see P . Hohenberg
  • Rev . Mod . Phys . Speakable and Unspeakable in Quantum Mechanics
  • 1993