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- W2079850807 abstract "An effective BCS type Hamiltonian is investigated in the limit of strongly anharmonic interactions in the vicinity of a normal to superconducting phase transition. Quantum field operators are defined and their equations of motion are derived. Subsequent calculations involve series expansions of the interaction coefficients about their critical point values. As a result the equation of motion is re-expressed as a system of highly non-linear partial differential equations. We solve these equations exactly in the classical limit using the method of symmetry reduction. The results obtained exhibit a remarkable wealth of physical phenomena which possess a numerous variety od spatial symmetries. Among these solutions one finds both extended and localised structures in several possible geometries. The latter ones exhibit soliton-like behaviour and can be associated with the onset of long-range coherence. A perturbative approach is then used to obtain quantum fluctuations which result in the appearance of bound and continuum states depending on the choice of classical solution about which we expand." @default.
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- W2079850807 date "1990-04-01" @default.
- W2079850807 modified "2023-10-05" @default.
- W2079850807 title "The emergence of coherent structures from effective Hamiltonians for superconductors" @default.
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- W2079850807 doi "https://doi.org/10.1016/0921-4526(90)90209-d" @default.
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