![SOLVED: 3. Useful properties of commutators (and anti-commutators) a) Show that:[A,BC]=B[A,C]+[A,B]C b) Assume A and B are Hermitian operators. Show that the commutator [A, B] = AB BA is anti-Hermitian, that means [ SOLVED: 3. Useful properties of commutators (and anti-commutators) a) Show that:[A,BC]=B[A,C]+[A,B]C b) Assume A and B are Hermitian operators. Show that the commutator [A, B] = AB BA is anti-Hermitian, that means [](https://cdn.numerade.com/ask_images/9908e472ae824ca480cf5342eabd0d8d.jpg)
SOLVED: 3. Useful properties of commutators (and anti-commutators) a) Show that:[A,BC]=B[A,C]+[A,B]C b) Assume A and B are Hermitian operators. Show that the commutator [A, B] = AB BA is anti-Hermitian, that means [
![calculus - What do these commutator identities have to do with the product rule for derivatives? - Mathematics Stack Exchange calculus - What do these commutator identities have to do with the product rule for derivatives? - Mathematics Stack Exchange](https://i.stack.imgur.com/0Nvsd.jpg)
calculus - What do these commutator identities have to do with the product rule for derivatives? - Mathematics Stack Exchange
![SOLVED: Question 5: Commutator Identities Prove each of the following commutator identities: (a) [AB,C] A[B,C] + [A,C]B (b) [x",p] = ihnxn-1 (c) [f (x),p] = ihdf dx SOLVED: Question 5: Commutator Identities Prove each of the following commutator identities: (a) [AB,C] A[B,C] + [A,C]B (b) [x",p] = ihnxn-1 (c) [f (x),p] = ihdf dx](https://cdn.numerade.com/ask_images/2e71f495003747b28c5b2a97cd28ca5b.jpg)
SOLVED: Question 5: Commutator Identities Prove each of the following commutator identities: (a) [AB,C] A[B,C] + [A,C]B (b) [x",p] = ihnxn-1 (c) [f (x),p] = ihdf dx
![Relativistic Quantum Mechanics 10:Spin of a Dirac Particle (Introduction: Properties of commutator) - YouTube Relativistic Quantum Mechanics 10:Spin of a Dirac Particle (Introduction: Properties of commutator) - YouTube](https://i.ytimg.com/vi/JHn6VEf4NF4/maxresdefault.jpg)