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Evgn
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In their article [Integrals in the theory of electron correlations, Annalen der Physik 7, 71] L.Onsager at el. write:
By resolving the vector [itex]\vec{s}[/itex] into its contravariant components in the oblique coordinate system formed by the vectors [itex]\vec{q}[/itex] and [itex]\vec{Q}[/itex] it is possible to reduce the region of integration (3.11) to a rectangle. The contravariant components of [itex]\vec{s}[/itex] are defined by:
[itex]s_1 = \frac{\vec{s}\vec{q}}{|q|}, \quad s_2 = \frac{\vec{s}\vec{Q}}{|Q|}[/itex]
Shouldn't they write "covariant components"?
PDF of the article can be found here: http://zs.thulb.uni-jena.de/receive/jportal_jparticle_00133463
Thank you.
By resolving the vector [itex]\vec{s}[/itex] into its contravariant components in the oblique coordinate system formed by the vectors [itex]\vec{q}[/itex] and [itex]\vec{Q}[/itex] it is possible to reduce the region of integration (3.11) to a rectangle. The contravariant components of [itex]\vec{s}[/itex] are defined by:
[itex]s_1 = \frac{\vec{s}\vec{q}}{|q|}, \quad s_2 = \frac{\vec{s}\vec{Q}}{|Q|}[/itex]
Shouldn't they write "covariant components"?
PDF of the article can be found here: http://zs.thulb.uni-jena.de/receive/jportal_jparticle_00133463
Thank you.