tag:blogger.com,1999:blog-7405353903447145876.post1980306015850184109..comments2019-09-01T03:58:04.600-07:00Comments on Mathable: Deriving the Time-Dependent Schrödinger Equation $\hat{\mathcal{H}}\Psi=E\Psi$ Papa Flammyhttp://www.blogger.com/profile/08458521768341390131noreply@blogger.comBlogger17125tag:blogger.com,1999:blog-7405353903447145876.post-59021037102450405392019-09-01T03:58:04.600-07:002019-09-01T03:58:04.600-07:00Nice.Nice.Unknownhttps://www.blogger.com/profile/15992041758446133069noreply@blogger.comtag:blogger.com,1999:blog-7405353903447145876.post-56017997619902408882019-01-30T08:51:19.438-08:002019-01-30T08:51:19.438-08:00Nice.Nice.Fematikahttps://www.blogger.com/profile/03526039263914499178noreply@blogger.comtag:blogger.com,1999:blog-7405353903447145876.post-25387426911657543702019-01-30T07:51:11.837-08:002019-01-30T07:51:11.837-08:00The electric field is in general a complex functio...The electric field is in general a complex function - that is to say that finding solutions to the wave equation which are complex are in fact still valid solutions, and indeed some solutions may only be found this way. The real part must be taken to obtain the physical field though - about this you are correct.<br /><br />The wavefunction solutions of the Schrödinger eqn are very often complex, but taking the real part won't net you anything physical. You need to take the integral of the wave function multiplied by its complex conjugate (aka the abs value squared) if you want to arrive at the probability of finding a particle within the range of your integral.<br /><br />Plarization is accounted for, the E field is a vector field. It is already baked in :)<br /><br />Zappotekhttps://www.blogger.com/profile/05012772547496085695noreply@blogger.comtag:blogger.com,1999:blog-7405353903447145876.post-48946704172432553872019-01-29T12:15:00.058-08:002019-01-29T12:15:00.058-08:00No, I was just using a Mathjax html script.No, I was just using a Mathjax html script.Flammable Mathshttps://www.blogger.com/profile/08458521768341390131noreply@blogger.comtag:blogger.com,1999:blog-7405353903447145876.post-53762457115894736602019-01-29T08:33:21.105-08:002019-01-29T08:33:21.105-08:00I would just start with the wave equation; startin...I would just start with the wave equation; starting from electromagnetism might encourage new learners to think the Schrodinger equation is somehow necessarily linked to it.<br />Unknownhttps://www.blogger.com/profile/13381303019433169244noreply@blogger.comtag:blogger.com,1999:blog-7405353903447145876.post-58086289324927379502019-01-29T02:19:53.602-08:002019-01-29T02:19:53.602-08:00How did you do Latex on blogger? Did you pay a fee...How did you do Latex on blogger? Did you pay a fee?Wilson Wonghttps://www.blogger.com/profile/07368746702699761711noreply@blogger.comtag:blogger.com,1999:blog-7405353903447145876.post-31435264819729112002019-01-23T22:15:35.968-08:002019-01-23T22:15:35.968-08:00:D:DFlammable Mathshttps://www.blogger.com/profile/08458521768341390131noreply@blogger.comtag:blogger.com,1999:blog-7405353903447145876.post-59028711282929405232019-01-23T18:43:42.612-08:002019-01-23T18:43:42.612-08:00papa you are the beastpapa you are the beastUnknownhttps://www.blogger.com/profile/04304892320516420896noreply@blogger.comtag:blogger.com,1999:blog-7405353903447145876.post-38088235194741608062019-01-22T19:20:26.301-08:002019-01-22T19:20:26.301-08:00https://www.youtube.com/watch?v=dQw4w9WgXcQhttps://www.youtube.com/watch?v=dQw4w9WgXcQCedric Martenshttps://www.blogger.com/profile/14597236015195483195noreply@blogger.comtag:blogger.com,1999:blog-7405353903447145876.post-46742493364581479852019-01-21T10:26:52.328-08:002019-01-21T10:26:52.328-08:00dem son 3:dem son 3:Flammable Mathshttps://www.blogger.com/profile/08458521768341390131noreply@blogger.comtag:blogger.com,1999:blog-7405353903447145876.post-24620184457141690742019-01-21T10:11:07.205-08:002019-01-21T10:11:07.205-08:00I wish i could understand this shit nibba.I wish i could understand this shit nibba.Dawid Grdenhttps://www.blogger.com/profile/16125053799519583641noreply@blogger.comtag:blogger.com,1999:blog-7405353903447145876.post-7642267719233516782019-01-21T09:49:10.400-08:002019-01-21T09:49:10.400-08:00You could have just started from stating its a wav...You could have just started from stating its a wave, then you have wave equation for free. In fact, starting from Maxwell's equation complicates things. First, the electric field is not a complex number. Your $\Psi$ is a complex number you have to take the real part of it. To be more precise, you have to consider polarization as well. Second, the Maxwell equation you used does not contain particles but the Schroedinger's equation you derived does, and it is the opposite. Third, Maxwell's equation is intrinsically relativistic. You should have sticked with the D'Alembertian and come up with the Kleine-Gorden Equation instead of using $T=\frac{p^2}{2m}$ and derived the Schroedinger's equation.北京老张https://www.blogger.com/profile/11610618089464058023noreply@blogger.comtag:blogger.com,1999:blog-7405353903447145876.post-85503488242383430022019-01-21T07:32:36.842-08:002019-01-21T07:32:36.842-08:00:^):^)Flammable Mathshttps://www.blogger.com/profile/08458521768341390131noreply@blogger.comtag:blogger.com,1999:blog-7405353903447145876.post-7686151430424182932019-01-21T07:08:52.758-08:002019-01-21T07:08:52.758-08:00Papa fappyPapa fappyDawn Ripperhttps://www.blogger.com/profile/02047973885308748538noreply@blogger.comtag:blogger.com,1999:blog-7405353903447145876.post-20910876479396207832019-01-21T05:14:56.253-08:002019-01-21T05:14:56.253-08:00Hehe :D Thank you for the nice words! :3Hehe :D Thank you for the nice words! :3Flammable Mathshttps://www.blogger.com/profile/08458521768341390131noreply@blogger.comtag:blogger.com,1999:blog-7405353903447145876.post-7934443470059482302019-01-21T03:29:29.009-08:002019-01-21T03:29:29.009-08:00And I am the first again XDAnd I am the first again XDOerteljhttps://www.blogger.com/profile/02412822007963000185noreply@blogger.comtag:blogger.com,1999:blog-7405353903447145876.post-17548886225932967002019-01-21T03:27:41.298-08:002019-01-21T03:27:41.298-08:00And once again a very nice post! I did not expect ...And once again a very nice post! I did not expect anything less from you! :DOerteljhttps://www.blogger.com/profile/02412822007963000185noreply@blogger.com