Understanding light quanta: first quantization of the free electromagnetic field
Open accessAbstract
The quantization of the electromagnetic field in vacuum is presented without reference to Lagrangian quantum field theory. The equal-time commutators of the fields are calculated from basic principles. A physical discussion of the commutators suggests that the electromagnetic fields are macroscopic emergent properties of a more fundamental physical system: the photons.
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Equation (237) has the properties of a quantum Markovian master equation: the time-evolution of the system is independent of its past history.
“Equation (237) has the properties of what is called quantum Markovian master equation : these are master equations where - among other properties which are beyond our scope here - the time-evolution of the system is independent of its past history.”
From Fundamentals of quantum mechanics in Liouville space (2020) · cites this paper as [58]
Section IV (p. 5) discusses time evolution of electromagnetic-field operators, but does not identify a quantum Markovian master equation or say that evolution is independent of past history. Searches for “quantum Markovian master equation” and “memoryless time evolution” found no passage addressing that claim. (LLM, conf=0.76)
Experimental — accuracy not yet measuredThe solution to a quantum Markovian master equation like the quantum optical master equation (237) may be written in the Kraus operator sum form (289) for ρS ∈ Hd.
“It is known that the solution to a quantum Markovian master equation like the quantum optical master equation under consideration, (237), may be written in the form (for ρ S ∈ H d )[6, 8, 58, 59, 60, 61]:”
From Fundamentals of quantum mechanics in Liouville space (2020) · cites this paper as [58]
Section III (p. 4) discusses quantizing the free electromagnetic field and defining field operators; Section IV (p. 5) discusses their commutators. Searches for Kraus operators and quantum optical master equations found no passage addressing whether a Markovian master equation has a Kraus operator-sum solution. (LLM, conf=0.76)
Experimental — accuracy not yet measured
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Cites
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Oersted Medal Lecture 2002: Reforming the mathematical language of physics
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Zur Quantenelektrodynamik ladungsfreier Felder
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Flagged first, then by citations
Research works printed but not linked: 2
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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
Quantum field representation of photon-molecule interactions
Bradshaw, D. S., Forbes, K. A., & Andrews, D. L. (2020) · European Journal of Physics · doi:10.1088/1361-6404/ab7028 · Cited by 8 · see citing works
- Authors
- Torre, A. C. D. L.
- Affiliations
- National University of Mar del Plata (AR)
- Corresponding author
- Torre, A C de la
- Venue
- European Journal of Physics
- Publisher
- IOP Publishing
- Published
- 2005-03-23
- Volume
- 26
- Issue
- 3
- Pages
- 457-467
- ISSN
- 0143-0807 (ISSN-L)
- 1361-6404
- OpenAlex
- W2159341718
- Cited by
- 4
- References
- 10
- Citations by year
- 2022: 1 · 2020: 2
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- European Journal of Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Strong Light-Matter Interactions
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- electromagnetic field quantization, free electromagnetic field, equal-time commutators, first quantization, photons, emerging fields
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