If it is known that the energy of a field can be given as [tex]E=M\phi[/tex], then it must also be allowed that [tex]\phi[/tex] can undergo a shift. If we allow it to be shifted by [tex]\pi \in (\mathcal{R},\mathcal{C})[/tex] then surely there is a change in that field specified by using the following shifts?(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\Delta E=M(e^{i(\theta + \pi)})[/tex]

[tex]\Delta E=M(e^{-i(\theta + \pi)})[/tex]

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# Question on shifting field gradients by an angle

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