Incorporation of New Information in an Approximate Hamiltonian

Details Incorporation of New Information in an Approximate Hamiltonian Incorporation of New Information in an Approximate Hamiltonian

2002-10-16

arxiv.org/abs/physics/0210065v1

Physics

General Physics

8 pages

Scientific paper

Additional information about the eigenvalues and eigenvectors of a physical system demands extension of the effective Hamiltonian in use. In this work we extend the effective Hamiltonian that describes partially a physical system so that the new Hamiltonian comprises, in addition to the information in the old Hamiltonian, new information, available by means of experiment or theory. A simple expression of the enlarged Hamiltonian, which does not involve matrix inversion, is obtained. It is also shown that the Lee-Suzuki transformation effectively put the initial Hamiltonian in a diagonal block form.

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