Stochastic quantum dynamics and relativity
Open accessAbstract
Our aim is to unify the Schroedinger dynamics and the projection postulate. We first prove that the Schroedinger evolution is the only quantum evolution that is deterministic and compatible with relativity. Next we present a non deterministic generalization of the Schroedinger equation compatible with relativity. This time continuous pure state valued stochastic process covers the whole class of quantum dynamical semigroups, as exemplified by the damped harmonic oscillator and spin relaxation. Finally a symmetry preserving generalization of the Ghirardi-Rimini-Weber model is presented. (orig.).
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The map from black hole evaporation must be linear, for otherwise it would induce troubles with superluminal communication.
“The map must be linear, for otherwise it would induce troubles with superluminal communication [59,60].”
From Conformal Cyclic Cosmology, gravitational entropy and quantum information (2023) · cites this paper as [59]
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Percival, I. C. (1994) · Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences · doi:10.1098/rspa.1994.0135 · Cited by 115 · see citing works
Conformal Cyclic Cosmology, gravitational entropy and quantum information
Eckstein, M. (2023) · General Relativity and Gravitation · doi:10.1007/s10714-023-03070-2 · Cited by 8 · see citing works
- Authors
- Gisin, N.
- Affiliations
- University of Geneva (CH)
- Corresponding author
- Gisin, N.
- ORCID
- Gisin, N.
- Venue
- Birkhäuser
- Publisher
- Birkhäuser
- Published
- 1989
- Volume
- 62
- Issue
- 4
- Pages
- 363-371
- OpenAlex
- W84717351
- Cited by
- 507
- References
- 0
- Citations by year
- 2026: 1 · 2025: 13 · 2024: 14 · 2023: 11 · 2022: 14 · 2021: 23 · 2020: 24 · 2019: 49 · 2018: 14 · 2017: 10 · 2016: 19 · 2015: 13 · 2014: 14 · 2013: 7 · 2012: 52
- FWCI
- 5.68
- Type
- journal article
- Language
- en
- Open access
- green
- doi.org
- Locations
- E-Periodica
- Helvetica Physica Acta (Switzerland)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Keywords
- stochastic quantum dynamics, Schrödinger equation, projection postulate, measurement problem, relativity, quantum dynamical semigroups, damped harmonic oscillator, spin relaxation, continuous stochastic processes
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