The principal
mathematical difference between classical mechanics and quantum mechan-
ics is that whereas in the former physical observables are represented by
functions , in quantum mechanics they
are represented by mathematical operators.
An operator is a symbol for an
instruction to carry out some action, an operation, on a function. In most of
the examples we shall meet, the action will be nothing more complicated than
multiplication or differentiation.
Linear operator:
mathematical difference between classical mechanics and quantum mechan-
ics is that whereas in the former physical observables are represented by
functions , in quantum mechanics they
are represented by mathematical operators.
An operator is a symbol for an
instruction to carry out some action, an operation, on a function. In most of
the examples we shall meet, the action will be nothing more complicated than
multiplication or differentiation.
Linear operator:
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