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Have multi-particle state of full Hamiltonian and one-particle state

of free Hamiltonian a non-zero scalar product? Intuitively one can say

that scalar product of such states should be zero because each of

these states mentioned above belongs to different (orthogonal)

subspaces of the Fock space.

Do you know any reference discussing this problem?

Quantum_Devil.

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# Eigenstates of interacting and non-interacting Hamiltonian

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