(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider a particle of mass m in the potential

V(z)=mgz z>0, infinity if z<0

Show that the wavelength of a neutron (m~1000MeV/c^2) is on the order of 10um.

2. Relevant equations

p=(2m(E-mgz))^{1/2}

[itex]\lambda[/itex]=h/p

3. The attempt at a solution

The most direct solution would seem to simply be

h/(2m(E-mgz))^{1/2}(with appropriate substitutions)

however, that still leaves the factors of g and z to be resolved... I could take z as 1, but there's still g with a units problem (m/s/s vs MeV and MeV/c^2).

Any suggestions?

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# Determining Neutron Wavelength with mass alone

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