The HVT technique and the uncertainty relation for central potentials

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The quantum mechanical hypervirial theorems (HVT) technique is used to treat the so-called ‘uncertainty’ relation for quite a general class of central potential wells, including the (reduced) Poeschl–Teller and the Gaussian one. It is shown that this technique is quite suitable in deriving an approximate analytic expression in the form of a truncated power series expansion for .