- The normalized wave functions $\Psi_1$ and $\Psi_2$ correspond to the ground state and the first excited states of a particle in a potential. The operators $\hat{A}$ act on the wave function as: $$\hat{A}\Psi_1=\Psi_2\text{ and }\hat{A}\Psi_2=\Psi_1$$ The expectation value of the operator $\hat{A}$ for the state $\hat{A}=(3\Psi_1+4\Psi_2)/5$ is:
(A) 0
(B) -0.32
(C) 0.75
(D) 0.96
Not able to understand how to determine expectation value when ground state and first excited states are given.
Not able to understand how to determine expectation value when ground state and first excited states are given.
- The normalized wave functions $\Psi_1$ and $\Psi_2$ correspond to the ground state and the first excited states of a particle in a potential. The operators $\hat{A}$ act on the wave function as: $$\hat{A}\Psi_1=\Psi_2\text{ and }\hat{A}\Psi_2=\Psi_1$$ The expectation value of the operator $\hat{A}$ for the state $\hat{A}=(3\Psi_1+4\Psi_2)/5$ is:
(A) 0
(B) -0.32
(C) 0.75
(D) 0.96
Not able to understand how to determine expectation value when ground state and first excited states are given.
Not able to understand how to determine expectation value when ground state and first excited states are given.
