Timeline for Solutions to the wave equation on non orientable surfaces like a mobius strip
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Jun 29, 2010 at 21:38 | comment | added | S. Carnahan♦ | The order two symmetry is defined by $(x,y) \mapsto (\pi a - x, \pi L + y)$, where $x$ is the coordinate in the free direction, $y$ is the coordinate in the loop direction, and the $y$ coordinates are considered modulo $2 \pi L$. The proof of invariance comes from examining the eigenfunctions I listed above, and seeing which ones are unchanged under the transformation. This reduces to the fact that cosine and sine get multiplied by $-1$ when the domain is translated by $\pi$. I do not know a reference. | |
| Jun 25, 2010 at 0:32 | comment | added | sigoldberg1 | A surprising and lovely answer. Can you say a little more about a) the order two symmetry b) the proof that n_sub_a + n_sub_L must be even, or refer us to a reference? | |
| Jun 24, 2010 at 1:22 | vote | accept | sigoldberg1 | ||
| Jun 24, 2010 at 1:19 | vote | accept | sigoldberg1 | ||
| Jun 24, 2010 at 1:22 | |||||
| Jun 23, 2010 at 16:40 | history | answered | S. Carnahan♦ | CC BY-SA 2.5 |