A particle with mass m moves in a potential energy U1x2 =
Chapter 39, Problem 39.81(choose chapter or problem)
A particle with mass m moves in a potential energy U1x2 = A0 x 0 , where A is a positive constant. In a simplified picture, quarks (the constituents of protons, neutrons, and other particles, as will be described in Chapter 44) have a potential energy of interaction of approximately this form, where x represents the separation between a pair of quarks. Because U1x2 S q as x S q, its not possible to separate quarks from each other (a phenomenon called quark confinement). (a) Classically, what is the force acting on this particle as a function of x? (b) Using the uncertainty principle as in 39.80, determine approximately the zero-point energy of the particle.
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