- #1
Boltzman Oscillation
- 233
- 26
- Homework Statement
- Given wavelength = h/p, derive hc/(sqrt(K^2 + 2Kmc^2))
- Relevant Equations
- K = .5mv^2
I know I can get momentum in terms of kinetic energy in this way:
K = .5mv^2 => p = sqrt(2mK)
substitute into debroigles gives me:
λ = h/(sqrt(2mk)) = hc/(sqrt(2mc^2K))
which would be the nonreletivistic equation but I need the reletivistic equation. I can plug in the equation for relativistic kinetic energy K = γmc^2 - mc^2 but i do not see how that would get me closer to my desired equation. Any help would be appreciated, thanks all.
K = .5mv^2 => p = sqrt(2mK)
substitute into debroigles gives me:
λ = h/(sqrt(2mk)) = hc/(sqrt(2mc^2K))
which would be the nonreletivistic equation but I need the reletivistic equation. I can plug in the equation for relativistic kinetic energy K = γmc^2 - mc^2 but i do not see how that would get me closer to my desired equation. Any help would be appreciated, thanks all.