Notes for AKT-090929/0:37:23: Difference between revisions

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Relation to quantum mechanics (whenever the commutator of two operations equals identity, one should be thought of as the derivative and the other the mutiplication
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>\hat{\theta}</math> - multiplication by <math>\theta</math>, and <math>\hat{W}^*_1</math> - the adjoint of the dual of <math>\hat{\theta}</math>.

Deduce that <math>p</math> is the evaluation at <math>\theta=0</math>.

Latest revision as of 00:06, 19 October 2011

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 - multiplication by , and - the adjoint of the dual of .