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| Paper: |
An Approach to the Exact Classification of
Adiabatic Eigenmodes of Stars |
| Volume: |
462, Progress in Solar/Stellar Physics with Helio- and Asteroseismology |
| Page: |
412 |
| Authors: |
Takata, M. |
| Abstract: |
The conventional classification of stellar eigenmodes into p-modes,
g-modes, and f-modes has not been justified with mathematical
completeness yet. Here, we take an approach which is adopted in the
field of (geo)seismology. The key point is to transform the governing
system of differential equations
into an alternative system in which the dependent
variables are the wedge products of the standard variables (perturbed
physical quantities). Based on the new system and with an assumption
that
any two different eigenmodes
with the same spherical degree
do not have the same eigenfrequency,
we construct
a scheme to define a unique index to each eigenmode,
which allows us to distinguish among the three kinds of eigenmodes
unambiguously. |
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