Solving Schroedinger's equation for Step Potentialby uday1236 Tags: equation, potential, schroedinger, solving, step 

#1
Jul812, 10:53 PM

P: 3

Consider the case for a particle with energy E in a region where :
V = 0 , x<0; V=Vo, x>0; for the first region when we write Schrodinger’s equation(Time independent) it will be h^2/2m d2ψ/dx2 = Eψ and for second region it was h^2/2m d2ψ/dx2 = (VoE)ψ; My doubt is that wont the Energy E be different in the second region because the particle experiences an impulse at x=0. The case is where E<Vo. 



#2
Jul912, 06:48 AM

Mentor
P: 11,232

The potential energy U and the kinetic energy E  U are of course different in the two regions, but the total energy E is the same everywhere, by conservation of energy.




#3
Jul912, 12:19 PM

P: 3

ok thanks....how could i forget E was total energy.



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