Sunday, 11 December 2016

homework and exercises - Simple Quantum Mechanics Question about The Commutator of Translation Operators


Say there is ˆJ=exp[iˆpl/] and ˆU=exp[iˆHt/], where ˆH is time-independent.


Can we say anything about [ˆJ,ˆU]? Is it zero? How do we show this?


For example if ˆH=ˆp2/2m+mω2ˆx2/2.




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