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I would like to be able to plot this function in MATLAB

[itex] \mathcal{V} (\phi_{1}, \phi_{2}) = m^2(\phi_{1}^2 + \phi_{2}^2) + \lambda( \phi_{1}^2 + \phi_{2}^2)^2[/itex]

Where [itex] \phi_{1,2} , m^2 , \lambda \in \mathbb{R} [/itex] and [itex] \lambda > 0 [/itex]

I am aware that the cases [itex] m^2 > 0 [/itex] and [itex] m^2 < 0 [/itex] yield two different plots.

I encountered this while doing some reading on QFT, this potential was used in a Lagrangian density while trying to demonstrate spontaneous U(1) symmetry breaking.

I would really like to be able to plot this in MATLAB but unfortunately I have minimal previous experience with it.

Would anybody here be able to help me please?

Thanks

Max

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# Plotting a potential function in MATLAB

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