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3 Question 3[40 pts] You have solved the Schrodinger Equation for a particle in a one-dimensional potential. The first three wavefunctions are o(2) = Age-a2x2/2 [ground state] 1 (20) = Al(2ax) e-a222/2 [first excited state] 2/2(2) = A2(402x2 -2)e-2x2/2 [second excited state] The constant a2 = mw " where m is the mass of the particle and w is an oscillator frequency. 353.1 a[5 pts] Solve for the constants Ao and Al 3.2 b [10pts] Calculate Ax = V - 2 for the ground state 40 3.3 c [10 pts] Calculate Ap = V -

2 for the ground state\f