The energy of a particle of mass m bound by an unusual spring is p2/2m +-bx4.
(a). Classically, it can have zero energy. Quantum mechanically, however, though both x and p are “on average” zero, its energy cannot be zero. Why?
(b). Roughly speaking, ∆x is a typical value of the particle’s position. Making a reasonable assumption about a typical*value of its momentum, find the particle’s minimum possible energy.
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