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Can someone please explain me what is a Moyal product?
Also, how does putting $$X_a\psi = x_a\star\psi$$$$X_a(\psi) ~=~ x_a\star\psi$$ realise $$[X_a,X_b]=i\theta_{ab}{\bf 1}?$$
Ref: Quantum mechanics on non-commutative plane
Also, how does putting $$X_a\psi = x_a\star\psi$$ realise $$[X_a,X_b]=i\theta_{ab}{\bf 1}?$$
Also, how does putting $$X_a(\psi) ~=~ x_a\star\psi$$ realise $$[X_a,X_b]=i\theta_{ab}{\bf 1}?$$
Can someone please explain me what is a Moyal product.Moyal product?
Also, how does putting $X\psi = x\star\psi$$$X_a\psi = x_a\star\psi$$ realise $[x_a,x_b]=i\theta_ab$$$[X_a,X_b]=i\theta_{ab}{\bf 1}?$$ [ref
Ref: Quantum mechanics on non-commutative plane]Quantum mechanics on non-commutative plane
Can someone please explain me what is a Moyal product.
Also, how does putting $X\psi = x\star\psi$ realise $[x_a,x_b]=i\theta_ab$ [ref : Quantum mechanics on non-commutative plane]
