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PreprintCC BY 4.0arXiv

A Bohmian version of a 2-state quantum system

Abstract

I construct a Bohmian version of a 2-state quantum system, where in addition to the quantum state, the system is characterized by a definite physical state which changes stochastically under the guidance of the quantum state. I argue that the probabilities produced by this process are well-defined, contrary to claims in "Why quantum mechanics cannot be formulated as a Markov process" by D. Gillespie (1994) about a related model.

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BibTeX
@misc{dickau2026bohmian,
  title = {{A Bohmian version of a 2-state quantum system}},
  author = {Matthew Dickau},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2607.24480},
  eprint = {2607.24480},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.24480},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A Bohmian version of a 2-state quantum system
AU  - Matthew Dickau
PY  - 2026
DA  - 2026/11/02
PB  - arXiv
DO  - 10.48550/arxiv.2607.24480
UR  - https://arxiv.org/abs/2607.24480
AB  - I construct a Bohmian version of a 2-state quantum system, where in addition to the quantum state, the system is characterized by a definite physical state which changes stochastically under the guidance of the quantum state. I argue that the probabilities produced by this process are well-defined, contrary to claims in "Why quantum mechanics cannot be formulated as a Markov process" by D. Gillespie (1994) about a related model.
ER  -