Stochastic bosonization for an interacting d≥3 Fermi system
Accardi, L. ; Mastropietro, V.
Annales de l'I.H.P. Physique théorique, Tome 67 (1997), p. 215-235 / Harvested from Numdam
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Publié le : 1997-01-01
@article{AIHPA_1997__66_2_215_0,
     author = {Accardi, L. and Mastropietro, Vieri},
     title = {Stochastic bosonization for an interacting $d \ge 3$ Fermi system},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {67},
     year = {1997},
     pages = {215-235},
     zbl = {0874.60093},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1997__66_2_215_0}
}

Accardi, L.; Mastropietro, V. Stochastic bosonization for an interacting $d \ge 3$ Fermi system. Annales de l'I.H.P. Physique théorique, Tome 67 (1997) pp. 215-235. http://gdmltest.u-ga.fr/item/AIHPA_1997__66_2_215_0/

[AcFriLu] L. Accardi, A. Frigerio and Y.G. Lu, The weak coupling limit as a quantum functional central limit, Comm. Math. Phys., Vol. 131, 1990, pp. 537-570. | MR 1065896 | Zbl 0703.60096

[Lu92] Y.G. Lu, The weak coupling limit for quadratic interaction, J. Math. Phys., Vol. 33, 8, 1992. | MR 1180417 | Zbl 0762.60104

[AcLuVo] L. Accardi, Y.G. Lu and I. Volovich, Non commutative (Quantum) probability, Master fields and stochastic bosonization, Preprint Volterra, 1994, ID-9412241.

[AcLuMa] L. Accardi, Y.G. Lu and V. Mastropietro, Stochastic bosonization for a d ≥ 3 Fermi system, Ann. Inst. Henri-Poincaré, Vol. 66, No. 2, 1997, pp. 185-213. | Numdam | MR 1449191 | Zbl 0874.60092

[BeGa] G. Benfatto and G. Gallavotti, Perturbation theory of the Fermi surface in a quantum liquid: a general quasi particle formalism and one dimensional systems, Journ. Stat. Phys., Vol. 59, 1990, pp. 641-664. | MR 1063175 | Zbl 0716.76090

[BeGaMa] G. Benfatto, G. Gallavotti and V. Mastropietro, Renormalization group and the Fermi surface in the Luttinger model, Phys. Rev., B, Vol. 45, n. 10, 1992, pp. 5468-5480.

[Da] E.B. Davies, Markovian master equation, Comm. Math. Phys., Vol. 39, 1974, pp. 91-110. | MR 359633 | Zbl 0294.60080

[HuPa] R.L. Hudson and K.R. Parthasaraty, Quantum Ito's formula and stochastic evolution, Comm. Math. Phys., Vol. 93, 1984, pp. 301-323. | Zbl 0546.60058

[HoMa] A. Houghton and J.B. Marston, Bosonization and Fermion liquids in dimension greater than one, Phys. Rev., Vol. B48, pp. 7790-7808.

[Ne] L. Negele, Quantum many particle system, New York, Addison Wesley, 1988. | MR 1044771

[vH] L. Van Hove, Quantum mechanical perturbations giving rise to a statistical transport equation, Physica, Vol. 21, 1955, pp. 540-617. | MR 71346 | Zbl 0106.20903