- #1

LagrangeEuler

- 717

- 20

**Phys. Rev. B 29, 3153 – Published 15 March 1984**

general potential form is introduced and from that form one can obtain different class of period potential

[tex]V(u,r)=A(r)\frac{1+e\cos (2\pi u)}{[1+r^2+2r\cos (2\pi u)]^p}[/tex]

##-1<r<1## , where ##r## is real number, ##m,p## are integers, ##e=\pm 1##. In is interesting that in that paper authors call ##A(r)## normalizing amplitude function. I am not sure why?

They take for example for

##A(r)=(1-r)^4##, ## m=p=2##, ##e=1##, ##0<r<1## to obtain double well potential. Could you explain me why ##A(r)## is normalizing amplitude function?