Resources for GRW, CSL collapse models

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SUMMARY

This discussion focuses on the search for comprehensive resources on quantum mechanics collapse models, specifically the Continuous Spontaneous Localization (CSL) theory and its implications. Key literature includes Philip Pearle's "Collapse Miscellany," which introduces CSL and its applications, and Daniel J. Bedingham's work on relativistic collapse models. Additionally, Ghirardi, Rimini, and Weber's model provides a unified description of both microscopic and macroscopic systems, emphasizing the relationship between quantum dynamics and classical mechanics.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with wave function collapse theories
  • Basic knowledge of relativistic physics
  • Awareness of quantum measurement concepts
NEXT STEPS
  • Study Philip Pearle's "Collapse Miscellany" for foundational knowledge on CSL theory
  • Examine Daniel J. Bedingham's paper on relativistic collapse models
  • Explore Ghirardi, Rimini, and Weber's unified dynamics model for insights into macroscopic quantum behavior
  • Research the Stanford Encyclopedia of Philosophy entry on quantum mechanics collapse for a broader theoretical context
USEFUL FOR

Researchers, physicists, and students interested in advanced quantum mechanics, particularly those focusing on collapse models and their implications in both microscopic and macroscopic systems.

anubodh
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I have extensively searched the internet but failed to find any exhaustive literature on the different collapse models of quantum mechanics.It would be really helpful if someone who knows can guide me on some exhaustive resources for the same.
 
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https://arxiv.org/abs/1209.5082
Collapse Miscellany
Philip Pearle
(Submitted on 23 Sep 2012 (v1), last revised 29 Sep 2012 (this version, v2))
An introduction to the CSL (Continuous Spontaneous Localization) theory of dynamical wave function collapse is provided, including a derivation of CSL from two postulates. There follows applications to a free particle, or to a `small' rigid cluster of free particles, in a single wave-packet and in interfering packets.

https://arxiv.org/abs/1612.09470
Collapse models and spacetime symmetries
Daniel J. Bedingham
(Submitted on 30 Dec 2016)
A picture of dynamical collapse of the wave function which is relativistic and time symmetric is presented. The part of the model which exhibits these features is the set of collapse outcomes. These play the role of matter distributed in space and time. It is argued that the dynamically collapsing quantum state, which is both foliation dependent and follows a time-asymmetric dynamics, is not fundamental: it represents a state of information about the past matter distribution for the purpose of estimating the future matter distribution. It is also argued from the point of view of collapse models that both special and general relativistic considerations point towards a discrete spacetime structure and that gravity may not need to be quantised to give a theory that is consistent with quantum matter.
 


Unified dynamics for microscopic and macroscopic systems

G. C. Ghirardi, A. Rimini, and T. Weber


https://journals.aps.org/prd/abstract/10.1103/PhysRevD.34.470

An explicit model allowing a unified description of microscopic and macroscopic systems is exhibited. First, 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. This dynamics also allows a description of the evolution in terms of trajectories. To set up a unified description of all physical phenomena, a modification of the dynamics, with respect to the standard Hamiltonian one, is then postulated also for microscopic systems. It is shown that one can consistently deduce from it the previously considered dynamics for the center of mass of macroscopic systems. Choosing in an appropriate way the parameters of the so-obtained model one can show that both the standard quantum theory for microscopic objects and the classical behavior for macroscopic objects can all be derived in a consistent way. In the case of a macroscopic system one can obtain, by means of appropriate approximations, a description of the evolution in terms of a phase-space density distribution obeying a Fokker-Planck diffusion equation. The model also provides the basis for a conceptually appealing description of quantum measurement.

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Collapse Theories

https://plato.stanford.edu/entries/qm-collapse/

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