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