Consider Revolution plot:
RevolutionPlot3D[t^4 - 1.2 t^2, {t, 0, 1}, ImageSize -> Large,
BoundaryStyle -> None,
AxesLabel -> {Style["Re \[Phi]", Bold, 22],
Style["Im \[Phi]", Bold, 22], Style["V(\[Phi])", Bold, 22]},
Ticks -> {{-6, 6}, {-10, 10}}]
It produces a picture on the left. I want it to produce the picture on the right. Could you please tell me how to do this?
AxesOrigin -> {0, 0, -0.3}, AxesStyle -> Directive[Thick, Red]
get you close enough to what you want? $\endgroup$