My question is if the QM problem of a classical particle under a potential V(x) so [tex] H=p^{2} +V(x) [/tex](adsbygoogle = window.adsbygoogle || []).push({});

Is the same of this problem of a particle constrained to move under a surface with the additional condition [tex] V(x)=0 [/tex]

Or a particle moving on a surface with [tex] \Gamma ^{i}_{jk} [/tex]

So the potential is obtained from the 'Christoffel-Symbols'.

This problem is similar to the classic one by Einstein,.. where for 'weak field' you obtain Newton equation for the Potential..then my problem is if you can apply the same to QM

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# A Quantum problem

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