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Results tagged with complex-numbers
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user 2499
Numbers of the form $\{z= x+ i\,y:\;x,\, y\in\mathbb{R}\}$ where $i^2 = -1$. Useful especially as quantum mechanics, where system states take complex vector values.
20
votes
9
answers
6k
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Quaternions and 4-vectors
I recently realised that quaternions could be used to write intervals or norms of vectors in special relativity:
$$(t,ix,jy,kz)^2 = t^2 + (ix)^2 + (jy)^2 + (kz)^2 = t^2 - x^2 - y^2 - z^2$$
Is it use …
- 2,930
11
votes
3
answers
5k
views
Complex numbers in optics
I have recently studied optics. But I feel having missed something important: how can amplitudes of light waves be complex numbers?
- 2,930