Timeline for Wave function not normalizable
Current License: CC BY-SA 3.0
4 events
when toggle format | what | by | license | comment | |
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S Apr 14, 2014 at 3:59 | history | suggested | resgh | CC BY-SA 3.0 |
Wrong name for dirac delta fixed
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Apr 14, 2014 at 3:57 | review | Suggested edits | |||
S Apr 14, 2014 at 3:59 | |||||
Apr 9, 2014 at 8:33 | comment | added | Wouter | The actual way we deal with plane waves is by constructing wave packets. Basically, we assume $$e^{i(kx-\frac{\hbar k^2}{2m}t)}$$ are valid solutions (for every $k$) and then go on saying: well, then the general solution is a linear combination of these. $$\Psi \propto \int_{-\infty}^{\infty}{dk\phi(k)e^{i(kx-\frac{\hbar k^2}{2m}t)}}$$ If we choose the $\phi(k)$ right, this function is normalizable. Of course in reality the plane wave is an idealization like the frictionless surface, so unusual behaviour is not entirely unexpected. | |
Apr 9, 2014 at 8:03 | history | answered | Punk_Physicist | CC BY-SA 3.0 |