A particle experiences a potential energy given by U (x) = (x2 – 3)e- x^2

[acusanelli]

Homework Statement

A particle experiences a potential energy given by

U (x) = (x2 – 3)e- x^2

a) . What is the maximum energy the particle could have and yet be bound?

b) What is the maximum energy the particle could have and yet be bound for a considerable length of time?

c) Is it possible for the particle to have an energy greater than that in part b) and still be “bound” for some period of time? Explain.

The Attempt at a Solution

dont know where to start and would like some help. maybe some equations or just help with guiding me along. thank you

 

[aim1732]

Check states of equilibrium in this link:
http://dev.physicslab.org/Document.aspx?doctype=3&filename=WorkEnergy_PotentialEnergyFunctions.xml"