Timeline for Origin of Ladder Operator methods
Current License: CC BY-SA 4.0
17 events
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| S Mar 27, 2023 at 11:51 | history | suggested | Johny Dow | CC BY-SA 4.0 |
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| Mar 27, 2023 at 7:16 | review | Suggested edits | |||
| S Mar 27, 2023 at 11:51 | |||||
| Oct 10, 2016 at 20:32 | comment | added | Arturo don Juan | (2) How do even know anything about how non-Cartan generators act on weight vectors? By your construction, it seems like the weight vectors have nothing to do with the non-Cartan generators. It seems totally random that you not only assume non-Cartan generators come in pairs, but that those pairs are necessarily Hermitian conjugates of each other. | |
| Oct 10, 2016 at 20:27 | comment | added | Arturo don Juan | @jinawee A few questions upon reading your answer: (1) You say that the action of a non-Cartan generator on a weight vector will simply produce an eigenvalue $\pm e^i_j + t^i_k$. How can you even say "eigenvalue" for a non-Cartan generator? If a non-Cartan generator acts on a weight vector, which by definition is an eigenvector of one of the Cartan generators, couldn't it in general produce a complicated linear combination of weight-vectors? | |
| Jun 5, 2013 at 17:55 | comment | added | jinawee | @Urukec The book is this. It explains weight representations and almost every type of algebra in Particle Physics (SU(n), SO(n), E6, etc). | |
| Jun 4, 2013 at 17:43 | comment | added | Ziqian Xie | Can you give a link to the Georgi's book you refered? | |
| May 25, 2013 at 19:02 | history | edited | jinawee | CC BY-SA 3.0 |
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| May 25, 2013 at 18:22 | history | edited | jinawee | CC BY-SA 3.0 |
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| May 25, 2013 at 12:43 | history | edited | jinawee | CC BY-SA 3.0 |
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| May 25, 2013 at 11:51 | history | edited | jinawee | CC BY-SA 3.0 |
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| May 25, 2013 at 11:38 | comment | added | jinawee | @Comp_Warrior No problem, I'll try to explain it better. | |
| May 25, 2013 at 11:36 | history | edited | jinawee | CC BY-SA 3.0 |
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| May 25, 2013 at 10:53 | comment | added | Comp_Warrior | Wow, this is pretty detailed, but I can't say I understand ; especially since I don't know about group theory orLie algebras! | |
| May 24, 2013 at 23:45 | history | edited | jinawee | CC BY-SA 3.0 |
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| May 24, 2013 at 23:09 | history | edited | jinawee | CC BY-SA 3.0 |
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| May 24, 2013 at 21:07 | history | edited | jinawee | CC BY-SA 3.0 |
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| May 24, 2013 at 19:19 | history | answered | jinawee | CC BY-SA 3.0 |