Show that the function ψ = 8e5x is an eigenfunction of the operator d/dx. What is the eigenvalue? Prove that the momentum operator corresponding to px is a Hermitian operator. Show solutions please. thanks!

Show that the function ψ = 8e5x is an eigenfunction of the operator d/dx. What is the eigenvalue? Prove that the momentum operator corresponding to px is a Hermitian operator. Show solutions please. thanks!

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter6: Quantum Mechanics In One Dimension

Section: Chapter Questions

Problem 35P

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Question

Show that the function ψ = 8e^5x is an eigenfunction of the operator d/dx. What is the eigenvalue?
Prove that the momentum operator corresponding to p_x is a Hermitian operator.

Show solutions please. thanks!

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