### Author Topic: To determine eigenfunction  (Read 546 times)

#### Jingxuan Zhang

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##### To determine eigenfunction
« on: March 01, 2018, 05:10:59 PM »
I am referring to http://forum.math.toronto.edu/index.php?topic=692.0. What's the reason of change of coordinate? shouldn't everything come to an end when as soon as we found the eigenvalue equation, and obtain a formula for $X$ up to a scalar multiple? what causes the concern that different eigenvalue might associate to different form of $X$?

In short: why do we bother changing the coordinate and consider parity?