- 2 Consider A System Whose Wavefunction At T 0 Is 1 Y X 0 Tm X X0 3 02x 20 X 5 R 7 20 X Where 1 (41.07 KiB) Viewed 23 times
2. Consider a system whose wavefunction at t= 0) is 1 y (x,0) = TM(x) + (x0) = 3 02x) 20 $$:(x) + 5%,(r), 7 20 (x, where
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2. Consider a system whose wavefunction at t= 0) is 1 y (x,0) = TM(x) + (x0) = 3 02x) 20 $$:(x) + 5%,(r), 7 20 (x, where
2. Consider a system whose wavefunction at t= 0) is 1 y (x,0) = TM(x) + (x0) = 3 02x) 20 $$:(x) + 5%,(r), 7 20 (x, where 6.(x) is the eigenfunction of the nth state of an infinite square well potential of width a with the energy eigenvalues E. = re’n’n’ /(2ma?). (a) Show that the wavefunction is normalized. (b) Calculate the average energy of this system. (c) What is the probability of the particle being found in state n = 3? (d) Find the state y (x,t)at any later time t and evaluate the average value of the energy. Compare the result with the value obtained in (b). Does it depend upon time and why or why not?
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