β Scribed by Marvin E Rensink
No coin nor oath required. For personal study only.
The two-particle reduced density matrix p2 is analyzed for a system of electrons described by the BCS ground state. The existence of off-diagonal longrange order in pZ is demonstrated by explicit calculation of its matrix elements. It is shown that pz has one eigenvalue proportional to N where N is the number of electrons in the system. This eigenvalue is, in fact, equal to the number of dynamically correlated electrons. The large eigenvalue is produced by those pair states in momentum space for which the occupation probability is neither zero nor one. The correlation function for electrons with opposite spin is shown to be just the absolute square of the eigenfunction associated with the large eigenvalue of p2 .
π SIMILAR VOLUMES
It is argued that Yang's -paired wave function is the electronic ground state of high T cuprate superconductors.
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