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SOLVED: a) What is Hilbert space? Give two examples of Hilbert space. Show that the coefficient of expansion is the inner product between the basis vector and a general vector in discrete and continuous Eigen spectrums. Give the physical interpretation of these coefficients of expansion.b) What is meant by commutator between two operators? Give its physical significance. Find the commutators [x,p] and [x,p].
SOLVED: a) What is Hilbert space? Give two examples of Hilbert space. Show that the coefficient of expansion is the inner product between the basis vector and a general vector in discrete and continuous Eigen spectrums. Give the physical interpretation of these coefficients of expansion.b) What is meant by commutator between two operators? Give its physical significance. Find the commutators [x,p] and [x,p].
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