Notices
 

[QUE/QM-09002]

For page specific messages
For page author info

\(\newcommand{\ket}[1]{\vert#1\rangle}\)
Consider the state \(\ket{\psi}\) given by \(\begin{equation*} \ket{\psi} = c_1
\ket{E_1} + c_2 \ket{E_2}. \end{equation*} \)Answer the  following questions.

  1. Give condition(s) on \(E_1, E_2\) so that \(\ket{\psi}\) may be a stationary state for arbitrary \(c_1, c_2\).Can the state  represented by \(\ket{\psi}\) be a stationary state when \(E_1\ne E_2\)? If yes, give condition(s) on \(c_1,c_2\).
  2. Let \(E_1, E_2, c_1, c_2\) be such that \(\ket{\psi}\) is {\bf not} a stationary state. Compute the probability that  a  measurement of energy gives a value\(E_1\) at time \(t\). Does the probability vary time. WHY?
  3. Let \(E_1, E_2, c_1, c_2\) be as in part \ref{IT3}. Now under what conditions that a dynamical variable \(X\) must obey so that the average of \(X\) remains constant?

Exclude node summary : 

n

4727:Diamond Point

0
 
X