Difference between revisions of "Sandbox"

Revision as of 22:54, 30 April 2021

@@ Line 1: / Line 1: @@
-= im a heading =
+[[Category:Deleted]]
-=== sub-heading ===
-Test link to svn file &lt;websvn CUSF/README.txt&gt;
-= Maths is working! =
-&lt;math&gt;\LaTeX&lt;/math&gt; is the business!
-This fact is also true in all inertial frames:
-&lt;math&gt; \begin{bmatrix} c\,t'<br />
-x'<br />
-y'<br />
-z' \end{bmatrix} = \begin{bmatrix} \gamma&amp;-\beta_x\,\gamma&amp;-\beta_y\,\gamma&amp;-\beta_z\,\gamma<br />
--\beta_x\,\gamma&amp;1+(\gamma-1)\frac{\beta_{x}^{2}}{\beta^{2}}&amp;(\gamma-1)\frac{\beta_{x}\beta_{y}}{\beta^{2}}&amp;(\gamma-1)\frac{\beta_{x}\beta_{z}}{\beta^{2}}<br />
--\beta_y\,\gamma&amp;(\gamma-1)\frac{\beta_{y}\beta_{x}}{\beta^{2}}&amp;1+(\gamma-1)\frac{\beta_{y}^{2}}{\beta^{2}}&amp;(\gamma-1)\frac{\beta_{y}\beta_{z}}{\beta^{2}}<br />
--\beta_z\,\gamma&amp;(\gamma-1)\frac{\beta_{z}\beta_{x}}{\beta^{2}}&amp;(\gamma-1)\frac{\beta_{z}\beta_{y}}{\beta^{2}}&amp;1+(\gamma-1)\frac{\beta_{z}^{2}}{\beta^{2}}<br />
-\end{bmatrix} \begin{bmatrix} c\,t<br />
-x<br />
-y<br />
-z \end{bmatrix}\ &lt;/math&gt;
-And with minimum uncertainty:
-&lt;math&gt;i\hbar\frac{\partial}{\partial t} \Psi(\mathbf{r},\,t) = \hat H \Psi(\mathbf{r},t)&lt;/math&gt;