- #1

Physgeek64

- 247

- 11

Hi,

I was wondering how you can formally determine whether a given operator is degenerate. I undertand you can produce the 'usual equation' det(Q-##\lambda ##)=0 and solve for ##\lambda ##, where Q is our operator. But if Q is a differential (for example ##\frac{p^2}{2m}= - \bar{h} \frac{d^2}{dx^2}## ) how can one write such an equation.

p.s. I only used this example as I know that the operator is degenerate with sin and cos of the same argument. Other examples are welcome :)

Many thanks in advance!

Also- don't know why I can't get my equations to format properly? ^^

< Moderator's note: fixed. You had a ( instead of { >

I was wondering how you can formally determine whether a given operator is degenerate. I undertand you can produce the 'usual equation' det(Q-##\lambda ##)=0 and solve for ##\lambda ##, where Q is our operator. But if Q is a differential (for example ##\frac{p^2}{2m}= - \bar{h} \frac{d^2}{dx^2}## ) how can one write such an equation.

p.s. I only used this example as I know that the operator is degenerate with sin and cos of the same argument. Other examples are welcome :)

Many thanks in advance!

Also- don't know why I can't get my equations to format properly? ^^

< Moderator's note: fixed. You had a ( instead of { >

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