Solving Schroedinger's equation for Step Potential

by uday1236
Tags: equation, potential, schroedinger, solving, step
uday1236 is offline
Jul8-12, 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 Schrodingerís equation(Time independent) it will be
-h^2/2m d2ψ/dx2 = Eψ

and for second region it was
-h^2/2m d2ψ/dx2 = (Vo-E)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.
Phys.Org News Partner Physics news on
Physicists design quantum switches which can be activated by single photons
'Dressed' laser aimed at clouds may be key to inducing rain, lightning
Higher-order nonlinear optical processes observed using the SACLA X-ray free-electron laser
jtbell is offline
Jul9-12, 06:48 AM
jtbell's Avatar
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.
uday1236 is offline
Jul9-12, 12:19 PM
P: 3
ok could i forget E was total energy.

Register to reply

Related Discussions
Stuck on the reduction of order step for solving this differential equation Calculus & Beyond Homework 6
Can't finish equation solving step :p area between functions Calculus & Beyond Homework 3
Solving the Schroedinger Equation for An Anisotropic Oscillator Potential Advanced Physics Homework 8
Solve Schroedinger Equation with Mathematica DSolve for given potential Advanced Physics Homework 1
Schrodinger's Equation - Step Potential Quantum Physics 7