HW2.1 - Below is the EigenEnergy obtained in part a 1 1 2 2...

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Below is the EigenEnergy obtained in part a Energy @ n_, Α _, Β _, Γ _ D : = n + 1 2 - 1 2 Β 2 + Γ 2 - 4 Α Β Γ 2 I 1 - 4 Α 2 M ; Energy @ 0, 0.1, 1, 1 DH * Α= 0.1 Ground State * L Energy @ 1, 0.1, 1, 1 DH * Α= 0.1 1st Excited State * L Energy @ 0, 10., 1, 1 DH * Α= 10 Ground State * L Energy @ 1, 10., 1, 1 DH * Α= 10 1st Excited State * L 0.0833333 1.08333 0.47619 1.47619 Gen the truncated H-Matrix with dimension=dim and find the eigen value f @ Α _, Β _, Γ _, dim_ D : = Module B8< , H @ m_, n_ D : = n - 1 + 1 2 KroneckerDelta @ m - 1, n - 1 D + ± Α H n + 1 L H n L KroneckerDelta @ m - 1, n + 1 D - ± Α H n - 1 L H n - 2 L KroneckerDelta @ m - 1, n - 3 D + Β + ± Γ 2 n KroneckerDelta @ m - 1, n D + Β - ± Γ 2 n - 1 KroneckerDelta @ m - 1, n - 2 D ; Abs @ Eigenvalues @ Array @ H, 8 dim, dim <DDD FH * end Module * L Some Example: f @ 0.1, 1., 1., 20 D 8 27.3823, 22.9543, 19.6719, 17.0698, 15.0041, 13.4896, 12.4481, 11.4334, 10.4352, 9.45504, 8.47477, 7.49493, 6.51514, 5.53534, 4.55554, 3.57575, 2.59595, 1.61616, 0.636361, 0.343435
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This note was uploaded on 12/10/2011 for the course PHYS 4221 taught by Professor Cflo during the Spring '11 term at CUHK.

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HW2.1 - Below is the EigenEnergy obtained in part a 1 1 2 2...

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