Consider a particle bound in an infinite well, where the potential inside is not constant...

Consider a particle bound in an infinite well, where the potential inside is not constant but a linearly varying function. Suppose the particle is in a fairly high energy state, so that its wave function stretches across the entire well; that is, it isn't caught in the "low spot." Decide how, if at all, its wavelength should vary. Then sketch a plausible wave function.