All Questions
4 questions
0votes
2answers
251views
Momentum operator and eigenvalue
Can we take the eigenvalue we obtained after momentum operator (of quantum mechanics) operates on the state vector of a system as the momentum of the system?
0votes
1answer
1kviews
Eigenvalues of the momentum operator in position basis
We know that the definition of the momentum operator $\hat{P_x}$ in an state space $\mathcal{E}$ is: $$\hat{P_x}|\psi\rangle=P_x|\psi\rangle$$ where $P_x \in \mathbb{R}$. However we also know that ...
- 669
1vote
2answers
14kviews
Eigenvalues of momentum operator
I had a homework problem in my intro QM class, basically asking me to find which of a given set of functions were eigenfunctions of the momentum operator, $\hat{p_x}$. For example, $$ \psi_1 = Ae^{ik(...
6votes
4answers
6kviews
Why is momentum quantized in a 1D box even though the operator doesn't give eigenstates?
We don't get eigenstates of momentum when we operate momentum operator in the wave function of particle in a 1D box problem yet we say momentum is quantized in this situation. Why is it so?
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