Consider an infinite potential well with potential zero within 0...

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Consider an infinite potential well with potential zero within 0<x<a and infinite elsewhere. The energy eigenfunctions are given as Þn(x) with energy eigen values as En=n2 E., where n= 1, 2, 3... where %3D E. is the ground state energy. 2ma? Let the particle confined in this potential is prepared in the state given by the normalized wavefunction, 3Dsin () y (x) = a (a) (5points) Is this the energy eigenfunction? Let's say we perform the energy measurement. By calculating the probabilities of the energy outcomes En, discuss in which of the energy states, particle is more likely to be found after the measurement. Answer: (b) (5 points) Calculate the average energy of the particle and error associated with it Answer: Consider an infinite potential well with potential zero within 0<x<a and infinite elsewhere. The energy eigenfunctions are given as Þn(x) with energy eigen values as En=n2 E., where n= 1, 2, 3... where %3D E. is the ground state energy. 2ma? Let the particle confined in this potential is prepared in the state given by the normalized wavefunction, 3Dsin () y (x) = a (a) (5points) Is this the energy eigenfunction? Let's say we perform the energy measurement. By calculating the probabilities of the energy outcomes En, discuss in which of the energy states, particle is more likely to be found after the measurement. Answer: (b) (5 points) Calculate the average energy of the particle and error associated with it Answer:

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