@article{AIHPA_1997__66_2_215_0, author = {Accardi, L. and Mastropietro, V.}, title = {Stochastic bosonization for an interacting $d \ge 3$ {Fermi} system}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {215--235}, publisher = {Gauthier-Villars}, volume = {66}, number = {2}, year = {1997}, zbl = {0874.60093}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1997__66_2_215_0/} }
TY - JOUR AU - Accardi, L. AU - Mastropietro, V. TI - Stochastic bosonization for an interacting $d \ge 3$ Fermi system JO - Annales de l'I.H.P. Physique théorique PY - 1997 SP - 215 EP - 235 VL - 66 IS - 2 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1997__66_2_215_0/ LA - en ID - AIHPA_1997__66_2_215_0 ER -
%0 Journal Article %A Accardi, L. %A Mastropietro, V. %T Stochastic bosonization for an interacting $d \ge 3$ Fermi system %J Annales de l'I.H.P. Physique théorique %D 1997 %P 215-235 %V 66 %N 2 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPA_1997__66_2_215_0/ %G en %F 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, Volume 66 (1997) no. 2, pp. 215-235. http://www.numdam.org/item/AIHPA_1997__66_2_215_0/
[AcFriLu] The weak coupling limit as a quantum functional central limit, Comm. Math. Phys., Vol. 131, 1990, pp. 537-570. | MR | Zbl
, and ,[Lu92] The weak coupling limit for quadratic interaction, J. Math. Phys., Vol. 33, 8, 1992. | MR | Zbl
,[AcLuVo] Non commutative (Quantum) probability, Master fields and stochastic bosonization, Preprint Volterra, 1994, ID-9412241.
, and ,[AcLuMa] Stochastic bosonization for a d ≥ 3 Fermi system, Ann. Inst. Henri-Poincaré, Vol. 66, No. 2, 1997, pp. 185-213. | Numdam | MR | Zbl
, and ,[BeGa] 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 | Zbl
and ,[BeGaMa] Renormalization group and the Fermi surface in the Luttinger model, Phys. Rev., B, Vol. 45, n. 10, 1992, pp. 5468-5480.
, and ,[Da] Markovian master equation, Comm. Math. Phys., Vol. 39, 1974, pp. 91-110. | MR | Zbl
,[HuPa] Quantum Ito's formula and stochastic evolution, Comm. Math. Phys., Vol. 93, 1984, pp. 301-323. | Zbl
and ,[HoMa] Bosonization and Fermion liquids in dimension greater than one, Phys. Rev., Vol. B48, pp. 7790-7808.
and ,[Ne] Quantum many particle system, New York, Addison Wesley, 1988. | MR
,[vH] Quantum mechanical perturbations giving rise to a statistical transport equation, Physica, Vol. 21, 1955, pp. 540-617. | MR | Zbl
,