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Quantum dynamical manifolds: Applications to excitonic coupled high temperature superconductivity
Author(s) -
Scofield D. F.,
Collins T. C.
Publication year - 2002
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.936
Subject(s) - physics , quantum , superconductivity , manifold (fluid mechanics) , gauge theory , electron , coulomb , exciton , quantum mechanics , gauge (firearms) , quantum phases , quantum dissipation , materials science , mechanical engineering , engineering , metallurgy
The physical rationale supporting the introduction of many‐body differential geometric methods for self‐consistently calculating the properties of quantum systems is given. The methods are then used to determine new self‐consistent, self‐gauge field quantum dynamical manifold equations describing a high temperature superconductor. This includes itinerant electron screening of Coulomb repulsion and local electron, exciton‐mediated attraction. The article includes new quantum geometric equations for the paired electrons or holes (potential cooperons) of a superconductor. It is shown how other mechanisms can easily be incorporated into the calculation of the quasi‐particle geometry of the quantum dynamical manifold. © 2002 Wiley Periodicals, Inc. Int J Quantum Chem, 2002