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 V̂=V0 (constant) (d) [Â,B̂], where  = d^2/dx^2 + x and = 1
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 V̂=V0 (constant) (d) [Â,B̂], where  = d^2/dx^2 + x and = 1
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
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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 V̂=V0 (constant)
(d) [Â,B̂], where  = d^2/dx^2 + x and = 1
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