The .-operator in generalized geometry

The classical Neumann boundary problem generalizes directly to the hyperspace if the kinetic energy operator can be put into this canonical form. The argument given above, when generalized to nonspherical geometry, remains valid. Given the 

Integration by parts of the Schrodinger functional is equivalent to using a Bloch-modified Schrodinger equation 

Here the Bloch-modified Hamiltonian HB is obtained by integration by parts of the kinetic energy integral, 

This can be expressed in terms of a Bloch surface operator, 

Expansion in a linear independent orbital basis implies 

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