Notes for AKT-090929/0:37:23

Relation to quantum mechanics (Von Neumann's theorem): whenever the commutator of two operations equals the identity, one should be thought of as the derivative and the other as multiplication. Here the two operators are [math]\displaystyle{ \hat{\theta} }[/math] - multiplication by [math]\displaystyle{ \theta }[/math], and [math]\displaystyle{ \hat{W}^*_1 }[/math] - the adjoint of the dual of [math]\displaystyle{ \hat{\theta} }[/math].