a) [d/dx, x·d/dx] (b) [sin(x), cos(x)] (c) [x^2, Ĥ] , where Ĥ is a 1D Hamiltonian with V̂=V0 (constant)   (d) [Â,B̂], where Â = d^2/dx^2 + x   and    = 1

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2(3))

Calculate the following commutators:

(a) [d/dx, x·d/dx]

(b) [sin(x), cos(x)]

(c) [x^2, Ĥ] , where Ĥ is a 1D Hamiltonian with =V0 (constant)  

(d) [Â,B̂], where Â = d^2/dx^2 + x   and    = 1

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