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Noether's theorem: meaning of transformation of coordinates

lagrangian-formalism symmetry field-theory noethers-theorem asked Jul 22 '15 at 19:46

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Diagonalization of Hessian H= PkP$^{-1}$: what do the elements of P matrix physically mean?

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How can off-diagonal Hamiltonian matrix elements be nonzero when the overlap matrix is diagonal?

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