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Constants: Atomic mass unit: =1.660538921x107% [kg] Planck's constant: =6.62607x103 [J 5] Problem 1 (2 marks) Consider a particle moving in a 1D-box of length a.

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Constants: Atomic mass unit: =1.660538921x107% [kg] Planck's constant: =6.62607x103 [J 5] Problem 1 (2 marks) Consider a particle moving in a 1D-box of length a. The general solution for the eigenfunctions is: Y, (x) = Esin (naix) The energies corresponding to these eigenstates are: 2202 B, = (ViR = 8ma? a) Obtain the expression for the probability of finding the particle in the interval %

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