1
answer
0
watching
103
views
26 Nov 2019
I don't really expect an answer to this because it seemslikeeverytime i post a difficult question no one responds. butanyway,if you give me ANY sort of help ill rate you lifesaver. Herewego A particle of mass m and energy E is incident from r =infinityand moves toward the parabolic barrier V(r)= V0 - 1/2 mÏ2(r-R0)2, where R0 is the radial distance at whichthepotential attains its maximum value V0. Show thattheprobability of transmission T of the particle through thisbarrieris T= exp [ 2Ï(E-V0]/h-barÏ Use the barrier penetration formula T = exp (-2I), I =â«â2m/h-bar [V(r)-E] dr Also note that â« â(a2-r2) dr= 1/2[râ(a2-r2) +a2sin-1(r/abs a) where abs a means absolute value. note that in the I=integral, V(r) and E are in the numerator, to avoid confusion.I'mnot sure if this problem just involves evaluating adifficultintegral or if the harmonic oscillator is somehowinvolved.
I don't really expect an answer to this because it seemslikeeverytime i post a difficult question no one responds. butanyway,if you give me ANY sort of help ill rate you lifesaver. Herewego
A particle of mass m and energy E is incident from r =infinityand moves toward the parabolic barrier
V(r)= V0 - 1/2 mÏ2(r-R0)2,
where R0 is the radial distance at whichthepotential attains its maximum value V0. Show thattheprobability of transmission T of the particle through thisbarrieris
T= exp [ 2Ï(E-V0]/h-barÏ
Use the barrier penetration formula T = exp (-2I), I =â«â2m/h-bar [V(r)-E] dr
Also note that â« â(a2-r2) dr= 1/2[râ(a2-r2) +a2sin-1(r/abs a)
where abs a means absolute value. note that in the I=integral, V(r) and E are in the numerator, to avoid confusion.I'mnot sure if this problem just involves evaluating adifficultintegral or if the harmonic oscillator is somehowinvolved.
Sixta KovacekLv2
20 Sep 2019
