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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.