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But while solving problems in quantum mechanics,like scattering problems and others,they deal with it as it is just the K.E.

For example in the potential step problem, they take the cases where E>V and E<V, but isn't that wrong since the energy of the system is obviously greater than V and can never be less than V?? because E=K.E+V and in textbooks they meant by E the the energy term in the Schroedinger equation?

What goes wrong here?

thanks.