{
  "annotation_id": "225d4b7b-daa1-4b31-91e0-7da09a5a5258",
  "date_created": "2026-03-02T18:02:37.274000Z",
  "date_modified": "2026-03-02T18:02:37.274000Z",
  "file_hash": "65f4956d3e89f0e9a516a5022390753788f3a61e133ebf5c2f77443b6ef027ce",
  "private": false,
  "record": {
    "abstract": "A dynamical model for the collapse of the wave function in a quantum\nmeasurement process is proposed by considering the interaction of a quantum\nsystem (spin-1/2) with a macroscopic quantum apparatus interacting with an\nenvironment in a dissipative manner. The dissipative interaction leads to\ndecoherence in the superposition states of the apparatus, making its behaviour\nclassical in the sense that the density matrix becomes diagonal with time.\nSince the apparatus is also interacting with the system, the probabilities of\nthe diagonal density matrix are determined by the state vector of the system.\nWe consider a Stern-Gerlach type model, where a spin- 1/2 particle is in an\ninhomogeneous magnetic field, the whole set up being in contact with a large\nenvironment. Here we find that the density matrix of the combined system and\napparatus becomes diagonal and the momentum of the particle becomes correlated\nwith a spin operator, selected by the choice of the system-apparatus\ninteraction. This allows for a measurement of spin via a momentum measurement\non the particle with associated probabilities in accordance with quantum\nprinciples.",
    "arxiv_id": "quant-ph/9501022",
    "authors": [
      "A. Venugopalan",
      "Deepak Kumar",
      "R. Ghosh"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Analysis of the Stern-Gerlach Measurement",
    "url": "https://arxiv.org/abs/quant-ph/9501022"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "515038c5-f2c5-42db-8c79-00ed0e0220fd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}