Timeline for Born's rule and Schrödinger's equation
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Mar 14, 2015 at 23:25 | comment | added | Timaeus | @JánLalinský In case it helps you to identify who will object to Born's rule, if you see someone insist that a state is a positive normalized linear map from the set of observable rather than a vector in a Hilbert space, then you've probably found them. The idea might be to generalize the idea of probability measure, rather than be part of the normal probability theory. But I personally never understood why they settle for expectation values when instead they can get the relative frequency of the actual experimental outcomes. | |
| Mar 14, 2015 at 20:37 | comment | added | Timaeus | @JánLalinský I don't have a copy of Streater's book on me, but pages 3, 60, 71, 98, 124, & 131 contain the word maximal according to a google (though he may talk about it in other parts too). If you only ever want position to have a random variable, then your sample space can be the $x$,$y$,$z$ triples, with a measure induced by the pdf $\Psi(x,y,z)$. But if you want to have random variables for say, momentum, then you need a different sample space unless you want to restrict to situations where the wavepackets separate physically and then use position as a surrogate for the other observables. | |
| Mar 14, 2015 at 19:20 | comment | added | Ján Lalinský | When $|\psi(x,y,z)|^2$ is said to give probability density, the sample space meant consists of all triples $x,y,z$. Probability can then be computed for any region of this sample space - there is no apparent problem. Which section of Streater's book mentions problem with the Born rule? | |
| Mar 13, 2015 at 23:40 | history | answered | Timaeus | CC BY-SA 3.0 |