Pressure Broadening as a Prototype of Relaxation
Abstract
The theoretical results of Baranger, Kolb, and Griem on pressure broadening are rederived by a more compact and flexible procedure directly applicable to other relaxation processes. Pressure broadening is worked out to first order in the pressure, including previously disregarded corrections. The procedure adapts the concepts and techniques of scattering theory to the Liouville representation of density matrices. Its key quantity is a frequency-dependent relaxation operator $〈{M}_{c}(\ensuremath{\omega})〉$ introduced by Zwanzig.
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Techniques for solving equations of motion for vectors in state space can be applied in Liouville space.
“we can easily apply those same techniques also in Liouville space [1, 9].”
From Fundamentals of quantum mechanics in Liouville space (2020) · cites this paper as [9]
The Liouville space formalism offers a way around the problem of solving master equations that are not amenable to easy resolution.
“The Liouville space formalism offers a way around the problem.”
From Fundamentals of quantum mechanics in Liouville space (2020) · cites this paper as [9]
Cites
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Self-citationAtomic and molecular processes
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General Impact Theory of Pressure Broadening
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Baranger, M. (1958) · Physical Review · doi:10.1103/physrev.111.481 · Cited by 582 · see citing works
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Fundamentals of quantum mechanics in Liouville space
Gyamfi, J. A. (2020) · European Journal of Physics · doi:10.1088/1361-6404/ab9fdd · Cited by 77 · see citing works
- Authors
- Fano, U.
- Affiliations
- National Institute of Standards and Technology (US)
- Corresponding author
- Fano, U.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1963-07-01
- Volume
- 131
- Issue
- 1
- Pages
- 259-268
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2062758204
- Cited by
- 725
- References
- 14
- Citations by year
- 2026: 6 · 2025: 5 · 2024: 8 · 2023: 6 · 2022: 8 · 2021: 12 · 2020: 44 · 2019: 7 · 2018: 9 · 2017: 7 · 2016: 5 · 2015: 6 · 2014: 14 · 2013: 13 · 2012: 10
- FWCI
- 5.54
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Atomic and Molecular Physics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- pressure broadening, relaxation processes, scattering theory, density matrix
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