Eigenfunction and Eigenvalue of momentum operator

AI Thread Summary
The discussion focuses on finding the eigenfunctions and eigenvalues of the momentum operator defined as px = (h/i)(d/dx). Participants are prompted to solve the equation (h/i)(dy/dx) = λy, where λ represents the eigenvalue. One user expresses uncertainty about how to approach the problem, while another provides a hint to guide the solution. The conversation emphasizes the mathematical relationship between the operator, eigenfunctions, and eigenvalues. Overall, the thread serves as a collaborative effort to tackle a quantum mechanics homework problem.
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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Welcome to PF!

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:
 
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