Relativistic properties of a molecule: energy, linear momentum, angular momentum and boost momentum to order 1/c2

Robert P Cameron, J P Cotter

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We give an explicit and general description of the energy, linear momentum, angular momentum and boost momentum of a molecule to order $1/c^2$, where it necessary to take account of kinetic contributions made by the electrons and nuclei as well as electromagnetic contributions made by the intramolecular field. A wealth of interesting subtleties are encountered that are not seen at order $1/c^0$, including relativistic Hall shifts, anomalous velocities and hidden momenta. Some of these have well known analogues in solid state physics.
LanguageEnglish
Article number105101
Number of pages8
JournalJournal of Physics B: Atomic, Molecular and Optical Physics
Volume51
DOIs
Publication statusPublished - 30 Apr 2018

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acceleration (physics)
angular momentum
momentum
molecules
solid state physics
energy
analogs
electromagnetism
nuclei
shift
kinetics
electrons

Keywords

  • molecular structures
  • relativistic molecules
  • physical chemistry
  • energy
  • linear momentum
  • angular momentum
  • boost momentum

Cite this

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abstract = "We give an explicit and general description of the energy, linear momentum, angular momentum and boost momentum of a molecule to order $1/c^2$, where it necessary to take account of kinetic contributions made by the electrons and nuclei as well as electromagnetic contributions made by the intramolecular field. A wealth of interesting subtleties are encountered that are not seen at order $1/c^0$, including relativistic Hall shifts, anomalous velocities and hidden momenta. Some of these have well known analogues in solid state physics.",
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AU - Cotter, J P

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N2 - We give an explicit and general description of the energy, linear momentum, angular momentum and boost momentum of a molecule to order $1/c^2$, where it necessary to take account of kinetic contributions made by the electrons and nuclei as well as electromagnetic contributions made by the intramolecular field. A wealth of interesting subtleties are encountered that are not seen at order $1/c^0$, including relativistic Hall shifts, anomalous velocities and hidden momenta. Some of these have well known analogues in solid state physics.

AB - We give an explicit and general description of the energy, linear momentum, angular momentum and boost momentum of a molecule to order $1/c^2$, where it necessary to take account of kinetic contributions made by the electrons and nuclei as well as electromagnetic contributions made by the intramolecular field. A wealth of interesting subtleties are encountered that are not seen at order $1/c^0$, including relativistic Hall shifts, anomalous velocities and hidden momenta. Some of these have well known analogues in solid state physics.

KW - molecular structures

KW - relativistic molecules

KW - physical chemistry

KW - energy

KW - linear momentum

KW - angular momentum

KW - boost momentum

U2 - 10.1088/1361-6455/aabc42

DO - 10.1088/1361-6455/aabc42

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JO - Journal of Physics B: Atomic, Molecular and Optical Physics

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