# Answer to Question #14796 in Quantum Mechanics for just

Question #14796

Question 1!

1. Let f(x) be a wave function. If A is an observable, acting on f(x), then saying that A is linear means that Af(x+y)=Af(x)+Af(y).

2.If f(0)=0 and f(1)=1, and we apply phase inversion to |+>, we get |−>.

3. If we apply inversion about mean to |+> we get |+>.

4. If we apply inversion about mean to |−> we get |−>.

5.The state of minimum energy of the Hamiltonian H=(1551) is |−>.

6.The ground (minimum) energy of the above H is −5.

I need to understand which of these statements are true or false.

1. Let f(x) be a wave function. If A is an observable, acting on f(x), then saying that A is linear means that Af(x+y)=Af(x)+Af(y).

2.If f(0)=0 and f(1)=1, and we apply phase inversion to |+>, we get |−>.

3. If we apply inversion about mean to |+> we get |+>.

4. If we apply inversion about mean to |−> we get |−>.

5.The state of minimum energy of the Hamiltonian H=(1551) is |−>.

6.The ground (minimum) energy of the above H is −5.

I need to understand which of these statements are true or false.

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