Timeline for Applications of complex exponential
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 15, 2022 at 10:28 | comment | added | Carlo Beenakker | @TimothyChow --- I added a brief paragraph on why $e^{i\omega t}$ in the electron wave function cannot be simply reduced to a real sine or cosine. | |
| Jan 15, 2022 at 10:26 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
follow-up on Majorana fermions
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| Jan 15, 2022 at 7:01 | comment | added | Nike Dattani | @Timothy in my answer the Hamiltonian can have both real elements and imaginary elements so I cover the case in which neither x nor y is 0 (as well as many other cases). | |
| Jan 15, 2022 at 6:01 | comment | added | Timothy Chow | Yes, I found the question confusing too at first, but I think the intended question was something like, what applications are there of $e^{x+iy}$ other than the special cases when $x=0$ or $y=0$? Otherwise almost any appearance of $\sin x$ or $\cos x$ could be argued to be a complex exponential. | |
| Jan 14, 2022 at 22:14 | comment | added | Alexandre Eremenko | This is not really a "complex exponential", since $\omega t$ is real. Complex exponential is an entire function defined for all complex values of $z$. But I vote this up, since this application is by far the most important one:-) | |
| Jan 14, 2022 at 16:27 | history | answered | Carlo Beenakker | CC BY-SA 4.0 |