If A, B and C are Hermitian operators then 1 2i erfy whether the relation [AB] is
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![If A, B and C are Hermitian operators then
1
2i
verfy whether the relation
Hermitian or not.
[AB] is](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F642b1001-2e10-4065-9ef8-8ded5a1ef506%2Fbd8e680a-9bd3-4ddb-be00-a493ebcc0bb4%2Feqy1qp7_processed.jpeg&w=3840&q=75)
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- (a) Using Dirac notation, write down the definition of a projection operator and that of a density operate and state the differences between the two.Show that the operator H = -1/2(d^2/dx^2) is hermitian, assuming that it operates on a Hilbert space of L^2 functions whose functions and derivatives vanish at x = −∞ and x = +∞In the operator eigenvalue equation, Af(x) =a f(x), which of the following statements is not true? the effect of the operator, A, on f(x) is to increase its magnitude by a factor of a Omultiples of f(x) would be eigenfunctions of the operator, A Of(x) is an eigenfunction of the operator, A the number, a, must be equal to 0 or 1 OOO O