Eigenfunction and Eigenvalue of momentum operator

icejipo
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Homework Statement


Find all eigenfunction of momentum operator in x(px=h/i*d/dx) and their eigenvalues.

Homework Equations


operator*eigenfunction=eigenvalue*eigenfunction
Operator=px

The Attempt at a Solution



I really don't have any clues

Thank you
 
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icejipo said:
Find all eigenfunction of momentum operator in x(px=h/i*d/dx) and their eigenvalues.

Hi icejipo! Welcome to PF! :smile:

(have a lamda: λ :smile:)

Hint: for an eigenfunction, you need to solve the equation (h/i)dy/dx = λy, for any constant λ. :wink:
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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