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jgens
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Homework Statement
We have been examining a one-dimensional infinite square well where the infinite walls are located at -b and +b. The energy levels in this quantum system are non-degenerate, that is for each energy there is only one wave function. Let us place an infinite potential step between -b/2 and +b/2.
- Is the particle more likely to be in the left or the right infinite square well?
- What are the new energy levels and wave functions of this modified system?
- Are the energy levels degenerate, and if so, what is the degeneracy?
- Are the new energies higher or lower than the box without the infinite step?
Homework Equations
Time-independent Schrodinger Equation
The Attempt at a Solution
My main question involves how to interpret this problem. In my reading, the potential is just V(x) = 0 for -b < x < a and V(x) = +infinity for a < x < b where -b/2 < a < b/2. If my reading is correct, then wouldn't the particle only be in the left square well? (Since any particle would just be reflected from the region with infinite potential)
Thanks