An operator A defined by a matrix can be written as something like:(adsbygoogle = window.adsbygoogle || []).push({});

A = Ʃ_{i,j}le_{i}><e_{j}l <e_{i}lAle_{j}>

How does this representation translate to a continous basis, e.g. position basis, where operators are not matrices but rather differential operators etc. Can we still write for e.g. the kinetic energy operator T:

T = ∫∫dr dr' lr'><rl <r'lTlr>

? Or how would T be represented.

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# Operators in QM

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