What are the new wavefunctions graphically

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In lectures and in tutorials, we discussed the confinement of an electron (or other particle) to a box of infinite depth, running from x = 0 to x = a. If we, instead, define this 1-D region of confinement as running from -(a/2) to (a/2), how does our understanding change? What are the new wavefunctions, mathematically? What are the new wavefunctions, graphically (sketches are acceptable here)? What are the new eigenvalues?

Reference no: EM13339665

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