Quantum Mechanics is a good example of a successful theory. Most of atomicphenomena are described well by quantum mechanics and cases such as Lamb Shiftthat are not described by quantum mechanics, are described by quantumelectrodynamics. Of course, at the nuclear level, because of somecomplications, it is not clear that we can claim the same confidence. One wayof taking these complications and corrections into account seems to be amodification of the standard quantum theory. In this paper and its follow upswe consider a straightforward way of extending quantum theory. Our method isbased on a Bohmian approach. We show that this approach has the essentialability for extending quantum theory, and we do this by introducing"non-Bohmian" forms for the quantum potential.
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