- #1
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An operator A defined by a matrix can be written as something like:
A = Ʃi,jlei><ejl <eilAlej>
How does this representation translate to a continuous 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.
A = Ʃi,jlei><ejl <eilAlej>
How does this representation translate to a continuous 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.