ECE3080Homework2Solution

ECE3080Homework2Solution -...

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The plot of the left side verses right side is shown below. Note that there is only one intersection of the blue/red curve so we have only one solution for E~(4.3-4.5)x10 -19 J. -0.00000001 -0.000000008 -0.000000006 -0.000000004 -0.000000002 0 0.000000002 0.000000004 0.000000006 0.000000008 0.00000001 0.00E+00 5.00E-19 1.00E-18 1.50E-18 2.00E-18 Energy E [J] Left Side/Right Side Left Side Right Side The following three plots are for L=10e-10 m, 20e-10 m and 100e-10 m. Note how more allowed energy values result as the particle is less constrained in space (i.e. exists in a bigger well width). -0.00000001 -0.000000008 -0.000000006 -0.000000004 -0.000000002 0 0.000000002 0.000000004 0.000000006 0.000000008 0.00000001 0.00E+00 5.00E-19 1.00E-18 1.50E-18 2.00E-18 Energy E [J] Left Side Right Side ...L=10e-10 m results in 2 solutions. ..
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-0.00000001 -0.000000008
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Unformatted text preview: -0.000000006-0.000000004-0.000000002 0.000000002 0.000000004 0.000000006 0.000000008 0.00000001 0.00E+00 5.00E-19 1.00E-18 1.50E-18 2.00E-18 Energy E [J] Left Side/Right Side Left Side Right Side ...L=20e-10 m results in 4 solutions. .. -0.00000001-0.000000008-0.000000006-0.000000004-0.000000002 0.000000002 0.000000004 0.000000006 0.000000008 0.00000001 0.00E+00 5.00E-19 1.00E-18 1.50E-18 2.00E-18 Energy E [J] Left Side Right Side ...L=100e-10 m results in >20 solutions. .. Thus, as we move toward larger sizes for a confined particle, we loose quantization and start to result in very closely spaced energies that approximate a continuum. This occurs at fairly small distances on the order of ~100 angstroms (~100e-10 m)....
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ECE3080Homework2Solution -...

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