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Unformatted text preview: in front of the wave function) and energies for the states n=1 and n=2. (b) write down the values of x at which the probability of finding the particle is greatest for each of these 2 states. (c) Use these wave functions to calculate the average values of p, &lt;p&gt; and of p 2 , &lt; p 2 &gt; for each of these states. and hence p which is [&lt; p 2 &gt; -&lt;p&gt; 2 ] 1/2 for each of these states, where p is the momentum of the particle. (15 pts) 2. Show that the function ! ( x ) = C xe &quot; # x 2 is a solution of the stationary Schrodinger Equation for a potential function of the form U ( x ) = 1 2 m 2 x 2 where m is the particle mass and is a constant, provided has a particular value and find the value of and the energy of this state. Note: This not the ground state wave function! (10 pts) SHOW ALL DETAILS OF YOUR DERIVATIONS!...
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