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Calculating electron binding energies for quadratic fermion Hamiltonian by virtue of the IEO method
Author(s) -
Fan HongYi,
Yuan HongChun,
Chen Junhua
Publication year - 2011
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.22581
Subject(s) - hamiltonian (control theory) , quadratic equation , eigenvalues and eigenvectors , fermion , physics , hamiltonian matrix , quantum mechanics , electron , quantum , invariant (physics) , mathematical physics , mathematics , symmetric matrix , mathematical optimization , geometry
In this work, we discuss how to use the invariant eigen‐operator (IEO) method to derive the electron binding energies for the quadratic fermion Hamiltonian. We find that the task of solving the energy gap of fermion Hamiltonian can be ascribed to simply solving a standard eigenvalue problem of a numerical matrix, which is determined by the parameters of the given Hamiltonian. The IEO method provides us with a new approach for solving quadratic Hamiltonians in a more convenient and concise way. © 2010 Wiley Periodicals, Inc. Int J Quantum Chem, 2011