Timeline for Continuity & smoothness of wave function
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| May 5, 2021 at 14:45 | comment | added | Hecatonchires | The delta-function is not in L2 and is problematic. In physical language, this connects to the uncertainty principle: the location of a particle is never known with perfect certainty. | |
| Apr 13, 2017 at 12:39 | history | edited | CommunityBot | replaced http://physics.stackexchange.com/ with https://physics.stackexchange.com/ | |
| Jan 18, 2012 at 7:22 | comment | added | Luboš Motl | Right, there's nothing wrong about step functions, delta-functions (the derivatives of the former), and others, and that's why physicists freely work with them and never mention artificial mathematical constraints. Still, some discontinuities may make the kinetic energy infinity, so they don't exist in the finite-energy spectrum. I would add that the most natural space of functions to consider is $L^2$, all square-integrable functions. They may be Fourier-transformed or converted to other (discrete...) bases. A subset also has a finite (expectation value of) energy. | |
| Jan 18, 2012 at 4:03 | history | answered | joseph f. johnson | CC BY-SA 3.0 |