Upper bounds to the eigenvalues of the no-pair Hamiltonian
Por:
Jáuregui R., Bunge C.F., Ley-Koo E.
Publicada:
1 ene 1997
Resumen:
A Dirac-like Hamiltonian H with two-body terms, and its no-pair Hamiltonian H+ = A++HA++ where A++ is related to a one-particle Hamiltonian h0, are studied in finite-basis representations H and H+. Using finite-basis eigenfunctions of h0, it holds Ei+ ? EN-+i, i>0, where EN-+i and Ei+ are the ordered eigenvalues of H and H+, and N- is the difference between the dimensions of H and H+. The states of order i ? N- exhibit continuum dissolution. In contrast, those of order N-+i, i>0, are bounded from below and after application of a variational principle they represent bound states.
Filiaciones:
Jáuregui R.:
Instituto de Física, Universidad Nacional Autónoma de México Apartado Postal 20-364, México, 01000, Mexico
Bunge C.F.:
Instituto de Física, Universidad Nacional Autónoma de México Apartado Postal 20-364, México, 01000, Mexico
Ley-Koo E.:
Instituto de Física, Universidad Nacional Autónoma de México Apartado Postal 20-364, México, 01000, Mexico
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