Publication Abstracts

Canuto 1971

Canuto, V., 1971: Quantum-mechanical relation for a magnetized electron gas. Phys. Rev. A, 3, 648-650, doi:10.1103/PhysRevA.3.648.

The following theorem is proven: The xx and zz components of the electron energy-momentum tensor tμν and the magnetization M of an electron gas in a constant magnetic field B satisfy the relation tzz-txx = BM. This relation is valid at any density, temperature, and magnetic field strength, if the system is in thermal equilibrium. Since the electromagnetic energy-momentum tensor tμν is anisotropic itself, this relation makes the total energy-momentum tensor Tμν = tμν + τμν become a scalar. Because txx and tzz can simply describe the electron pressure in these directions, the above theorem states that the difference pzz-pxx equals twice the magnetic field energy, since M = 4πB.

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BibTeX Citation

@article{ca00210r,
  author={Canuto, V.},
  title={Quantum-mechanical relation for a magnetized electron gas},
  year={1971},
  journal={Phys. Rev. A},
  volume={3},
  pages={648--650},
  doi={10.1103/PhysRevA.3.648},
}

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RIS Citation

TY  - JOUR
ID  - ca00210r
AU  - Canuto, V.
PY  - 1971
TI  - Quantum-mechanical relation for a magnetized electron gas
JA  - Phys. Rev. A
VL  - 3
SP  - 648
EP  - 650
DO  - 10.1103/PhysRevA.3.648
ER  -

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