Question: 1. Suppose that the wavefunction can be written as this superposition: (x)=0.71(x)+0.52(x)+0.53(x)+0.14(x) and that the functions i(x) are eigenfunctions of the operator for kinetic energy

1. Suppose that the wavefunction can be written as this superposition:

1. Suppose that the wavefunction can be written as this superposition: (x)=0.71(x)+0.52(x)+0.53(x)+0.14(x) and that the functions i(x) are eigenfunctions of the operator for kinetic energy (Tx) that have the following eigenvalues: 1=50J2=55J3=60J4=65J(Tx1=11)(Tx2=22)(Tx3=33)(Tx4=44) a) What is the probability that a single measurement will find the system to have a kinetic energy, EK, of 50J ? b) What is the probability that a single measurement will find EK=60J ? c) What is the probability that a single measurement will find EK=53J ? d) What is the total probability that a single measurement will find one of the four values EK=50J,55J,60J, or 65J

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