Path integral approach to quantum Brownian motion
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The Caldeira-Leggett master equation is rigorously valid only in the weak-coupling regime and in the high-temperature limit.
“It is a deterministic dynamical equation that is rigorously valid only in the weak-coupling regime and in the high-temperature limit 21 .”
From An open quantum systems approach to proton tunnelling in DNA (2022) · cites this paper as [21]
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Derivation of the Schrödinger Equation from Newtonian Mechanics
Nelson, E. (1966) · Physical Review · doi:10.1103/physrev.150.1079 · Cited by 1,725 · see citing works
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Reaction-rate theory: fifty years after Kramers
Hänggi, P., Talkner, P., & Borkovec, M. (1990) · Reviews of Modern Physics · doi:10.1103/revmodphys.62.251 · Cited by 6,154 · see citing works
Decoherence, the measurement problem, and interpretations of quantum mechanics
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Consistent interpretations of quantum mechanics
Omnès, R. (1992) · Reviews of Modern Physics · doi:10.1103/revmodphys.64.339 · Cited by 648 · see citing works
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Preferred States, Predictability, Classicality and the Environment-Induced Decoherence
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An open quantum systems approach to proton tunnelling in DNA
Slocombe, L., Sacchi, M., & Al-Khalili, J. (2022) · Communications Physics · doi:10.1038/s42005-022-00881-8 · Cited by 122 · see citing works
There are no quantum jumps, nor are there particles!
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Stochastic path integrals and open quantum systems
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Canonical versus noncanonical equilibration dynamics of open quantum systems
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Bohmian Trajectories Post-Decoherence
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- Authors
- Caldeira, A. O., & Leggett, A. J.
- Affiliations
- Universidade Estadual de Campinas (UNICAMP) (BR)
- University of Sussex (GB)
- ORCID
- Caldeira, A.O.
- Venue
- Physica A: Statistical Mechanics and its Applications
- Publisher
- Elsevier BV
- Published
- 1983-09
- Volume
- 121
- Issue
- 3
- Pages
- 587-616
- ISSN
- 0378-4371 (ISSN-L)
- OpenAlex
- W1995318398
- Cited by
- 2,772
- References
- 2
- Citations by year
- 2026: 80 · 2025: 105 · 2024: 90 · 2023: 85 · 2022: 102 · 2021: 85 · 2020: 114 · 2019: 80 · 2018: 101 · 2017: 83 · 2016: 93 · 2015: 79 · 2014: 71 · 2013: 81 · 2012: 62
- FWCI
- 10.94
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physica A Statistical Mechanics and its Applications (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- Keywords
- quantum Brownian motion, influence functional, Feynman-Vernon influence functional, energy dissipation, open quantum systems, Fokker-Planck equation, density matrix, harmonic oscillator, temperature
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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