How much is known about eigenstates and values of the Hamiltonian(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

H=-\frac{1}{2m}\partial_x^2 + c x^4

[/tex]

I understand the fact that we cannot find precise solutions to everything, but what I find disturbing here is that I haven't even encountered approximation methods that would be useful here. Do approximate solutions to this exist in mainstream knowledge?

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# How much is known about ~x^4 potential

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