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Use the quantum particle wavefunctions for the kinetic energy levels in a one dimensional box to qualitatively...

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Physics

Use the quantum particle wavefunctions for the kinetic energylevels in a one
dimensional box to qualitatively demonstrate that the classicalprobability distribution
(any value of x is equally allowed) is obtained for particles athigh temperatures.

Answer & Explanation Solved by verified expert
4.0 Ratings (452 Votes)
The timeindependent Schrodinger equation for a particle of massm moving in one direction with energy E is22md2xdx2VxxEx1 is the reduced Planck Constant whereh2 m is the mass of the particle xis the stationary timeindependent wavefunctionVx is the potential energy as a function of positionE is the energy a real numberThis equation can be modified for a particle of mass mfree to move parallel to the xaxis with zero potential energy V 0 everywhere resulting in the quantum mechanical description offree motion in one    See Answer
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