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A new basis set for the description of electrons in superconductors

Physics Letters A 373, 1880 (2009),
dx.doi.org/doi:10.1016/j.physleta.2009.03.058
**Erratum:**
Physics Letters A 373, 2800 (2009),
dx.doi.org/doi:10.1016/j.physleta.2009.05.033

arxiv: 1001.1343
(Los Alamos)
In the usual description of electrons in metals and superconductors,
the single electron states are assumed to satisfy Bloch's theorem. This is
because the electron-ion interaction is privileged over the electron-electron
interaction. However the theory of hole superconductivity
proposes that in the transition to superconductivity carriers 'undress'
from the electron-ion interaction. I propose here a new basis set to
describe electrons in the superconducting state that does not
satisfy Bloch's theorem but instead is designed to optimize the
electron-electron interaction. The new basis set favors a superconducting
state where a spin current exists and where states near the bottom of the
band become partially occupied, as predicted by the theory of hole
superconductivity.

**Erratum:** Some typographical errors are corrected and three references are added.

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