Timeline for How much space to simulate a small Hilbert space?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 5, 2012 at 9:47 | comment | added | Arnold Neumaier | @JimGraber: In each cell of phase space, you'd have to specify as many numbers as the wave function has components, which means $2^N$ complex numbers. | |
| Nov 4, 2012 at 15:59 | comment | added | Arnold Neumaier | @JimGraber: Your exponents are correct. | |
| Nov 3, 2012 at 17:46 | comment | added | Jim Graber | Then I need to convert this finite approximation to a specific number of cells (and perhaps multiply yet again by a time variable). Finally, I will need to figure out what to store in each cell? One compex number? Two? More? Something else? | |
| Nov 3, 2012 at 17:45 | comment | added | Jim Graber | First of all, I think I want not $L^2(X)$, but some finite, numerical approximation of $L^2(X)$. Second, I think I need something like $L^2(\mathbb{R}^{3N}) \otimes \mathbb{C}^{2^N}$ to include spin. (I am still confused as to whether N should be an exponent or a multiplier in each of the two places where it occurs) | |
| Nov 3, 2012 at 17:44 | comment | added | Jim Graber | Thanks for your answer. I am aware that my approach is not very practical and consumes a lot of space. I am doing it to try to follow "What happens where" so to speak | |
| Nov 3, 2012 at 11:48 | history | answered | genneth | CC BY-SA 3.0 |