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| classes:2009:fall:phys4101.001:q_a_1109 [2009/11/12 20:25] – x500_szutz003 | classes:2009:fall:phys4101.001:q_a_1109 [2009/11/30 09:13] (current) – x500_bast0052 | ||
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| - | ===== Nov 09 (Mon) ===== | + | ===== Nov 09 (Mon) Legendre closure, Radial WF and spherical Bessel |
| **Return to Q&A main page: [[Q_A]]**\\ | **Return to Q&A main page: [[Q_A]]**\\ | ||
| **Q&A for the previous lecture: [[Q_A_1106]]**\\ | **Q&A for the previous lecture: [[Q_A_1106]]**\\ | ||
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| I believe that in fact the operator has to be square -- the rules of matrix multiplication say that a 1x4 * 4x4 give 1x4. We need to preserve the space coordinates -- if it were a 4x3... we'd get a 1x3 and completely wipe out a space coordinate.... so unless you have an operator that shrinks space down a dimension... I do believe we need square operators of 1x4, 4x4 etc. or... maybe there' | I believe that in fact the operator has to be square -- the rules of matrix multiplication say that a 1x4 * 4x4 give 1x4. We need to preserve the space coordinates -- if it were a 4x3... we'd get a 1x3 and completely wipe out a space coordinate.... so unless you have an operator that shrinks space down a dimension... I do believe we need square operators of 1x4, 4x4 etc. or... maybe there' | ||
| + | ===Devilin=== | ||
| + | I'm also pretty sure it needs to be square in order to take it's determinant. | ||
| + | ===Esquire (Age of Aquarius) 11/12/09=== | ||
| + | I believe that such operators need to be square so that eigenvalues and eigenvectors can be found. This is done via the determinent method, which only is doable with square matrices. | ||