Hilbert Book Model Project/Slide F6

hbmp	Template:Center topHilbert Book Model ProjectTemplate:Center bottom	F6
	The solutions of $⊡\psi =({\mathrm{\nabla }}_r{\mathrm{\nabla }}_r+⟨\overrightarrow{\mathrm{\nabla }},\overrightarrow{\mathrm{\nabla }}⟩)\psi =0$ offer one-dimensional shock fronts as part of its solutions These solutions occur equidistant in Template:Font These strings feature a frequency, but they are NO waves
	We focus on Template:Font shock fronts of the form $\overrightarrow{\psi }=f_r(c\tau -\overrightarrow{r})\overrightarrow{i}$ The real scalar $c$ equals the speed at which the shock front travels The vector $\overrightarrow{r}$ is the distance from the trigger location to the shock front Vector $\overrightarrow{i}$ represents the amplitude of the front, which directs perpendicular to $\overrightarrow{r}$ The function $f_r(q)$ is a real function that describes the shape of the front in the direction of $\overrightarrow{r}$ In the string the direction of vector $\overrightarrow{i}$ may rotate as a function of the sequence number of the warp. This gives the Template:Font a Template:Font Circular polarization of warp string. The arrows represent the amplitudes of the warps that constitute the string. The red line is a help line. No wave is involved!
Prev		Next