QUANTUM-STATISTICAL FOUNDATION TO THE FERMI-LIQUID MODEL AND GINZBURG-LANDAU WAVE-FUNCTION
An energy eigenvalue equation for a quasi-particle is derived, starting with the Heisenberg equation of motion for an annihilation operator. An elementary derivation of the Fermi liquid model having a sharply defined Fermi surface in the k-space is given, starting with a realistic model of a metal i...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1993 |
| País: | México |
| Institución: | Universidad Nacional Autónoma de México |
| Repositorio: | Sistema de Información de la Facultad de Ciencias, UNAM |
| OAI Identifier: | oai:repositorio.fciencias.unam.mx:11154/3440 |
| Acceso en línea: | http://hdl.handle.net/11154/3440 |
| Access Level: | acceso abierto |
| Palabra clave: | Physics, Applied Physics, Condensed Matter FERMI LIQUID MODEL GINZBURG-LANDAU WAVE FUNCTION |
| Sumario: | An energy eigenvalue equation for a quasi-particle is derived, starting with the Heisenberg equation of motion for an annihilation operator. An elementary derivation of the Fermi liquid model having a sharply defined Fermi surface in the k-space is given, starting with a realistic model of a metal including the Coulomb interaction among and between electrons and lattice-ions. The Ginzburg-Landau wave function PSI(sigma)(r), where sigma represents the superconducting pairon (Cooper-pair) state, is shown to be connected with the one-pairon density operator n by PSI(sigma)(r) = [r\n1/2\sigma]. A close analogy between supercurrent and laser is indicated. |
|---|