Density of a gas of spin-polarized fermions in a magnetic field.
← Research streamFor a fermion gas with equally spaced energy levels subjected to a magnetic field, the particle density is calculated using a path integral approach and inversion techniques for generating functions of static response functions. Explicit results are presented…
Study snapshot
Abstract
For a fermion gas with equally spaced energy levels that is subjected to a magnetic field, the particle density is calculated. The derivation is based on the path integral approach for identical particles, in combination with the inversion techniques for the generating function of the static response functions. Explicit results are presented for the ground state density as a function of the magnetic field with a number of particles ranging from 1 to 45.
AI evidence extraction
Structured fields below were generated from the paper’s abstract and metadata to make the evidence easier to inspect. Automated extraction may be incomplete or incorrect; verify important details against the original paper.
Main findings
For a fermion gas with equally spaced energy levels subjected to a magnetic field, the particle density is calculated using a path integral approach and inversion techniques for generating functions of static response functions. Explicit results are presented for ground state density versus magnetic field for particle numbers from 1 to 45.
Outcomes measured
- particle density
- ground state density as a function of magnetic field
Limitations
- The abstract describes a theoretical calculation/model rather than empirical exposure or health outcomes.
- No exposure metrics (field strength, frequency) are provided in the abstract.
View raw extracted JSON
{
"study_type": "other",
"exposure": {
"band": null,
"source": null,
"frequency_mhz": null,
"sar_wkg": null,
"duration": null
},
"population": null,
"sample_size": null,
"outcomes": [
"particle density",
"ground state density as a function of magnetic field"
],
"main_findings": "For a fermion gas with equally spaced energy levels subjected to a magnetic field, the particle density is calculated using a path integral approach and inversion techniques for generating functions of static response functions. Explicit results are presented for ground state density versus magnetic field for particle numbers from 1 to 45.",
"effect_direction": "unclear",
"limitations": [
"The abstract describes a theoretical calculation/model rather than empirical exposure or health outcomes.",
"No exposure metrics (field strength, frequency) are provided in the abstract."
],
"evidence_strength": "insufficient",
"confidence": 0.74,
"peer_reviewed_likely": "yes",
"keywords": [
"fermion gas",
"spin-polarized",
"magnetic field",
"particle density",
"ground state",
"path integral",
"static response functions"
],
"suggested_hubs": []
}AI-extracted fields are generated from the abstract and metadata and may be incomplete or incorrect. This material is for informational purposes and is not medical advice.
Identifiers and source
DOI: 10.1103/physreve.63.016111
PubMed: 11304318
Related papers
- Electric and magnetic field pollution in near substations and investigation of anxiety and depressive 2024
- No evidence for magnetic field effects on the behaviour of Drosophila 2023
- Using TRIZ Theory to Create Prototypes to Reduce the Potential Impact of a Phone’s Magnetic Field on the Human Body 2023
- The Effects of Uniform and Nonuniform Magnetic Fields in Plant Growth: A Meta-Analysis Approach 2023
- Extremely Low Frequency Electric and Magnetic Fields Exposure: Survey of Recent Findings 2023
- Assessment of the Electromagnetic Radiation Exposure at Electric Vehicle Charging Facilities 2022