A quantum particle is prepared in a quantum state 14). Consider a Hermitian operator, Q, of a physical observable., q As

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A Quantum Particle Is Prepared In A Quantum State 14 Consider A Hermitian Operator Q Of A Physical Observable Q As 1 (66.36 KiB) Viewed 34 times

A quantum particle is prepared in a quantum state 14). Consider a Hermitian operator, Q, of a physical observable., q Assume that this operator has a discrete spectrum of eigenvalues, 9n (with n= 0, 1, 2,...) and the corresponding eigenfunctions: {lan)}=0 Assume that all the eigenvalues are different. (a) What does it mean that Ign) is an eigenstate of Ộ? (b) Use the Dirac “bra/ket” notations to represent the average value, 7, of the ob- servable in the state (). (c) Use the Dirac "bra/ket” notations to represent the uncertainty, 0q, in the value of the observable in the state ). (d) The spectrum of Ô forms an orthonormal basis. What does this statement imply specifically for the wave-function |)? (e) Use the Dirac "bra/ket” notations to represent the probability of measuring the particle with a = 90