On the second quantisation of Hilbert-Schmidt processes
Applebaum, David
Annales de l'I.H.P. Physique théorique, Tome 63 (1995), p. 1-16 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1995-01-01
@article{AIHPA_1995__62_1_1_0,
     author = {Applebaum, Dave},
     title = {On the second quantisation of Hilbert-Schmidt processes},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {63},
     year = {1995},
     pages = {1-16},
     mrnumber = {1313358},
     zbl = {0846.47048},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1995__62_1_1_0}
}

Applebaum, David. On the second quantisation of Hilbert-Schmidt processes. Annales de l'I.H.P. Physique théorique, Tome 63 (1995) pp. 1-16. http://gdmltest.u-ga.fr/item/AIHPA_1995__62_1_1_0/

[CaRu] A.L. Carey and S.N.M. Ruijsenaars, On Fermion Gauge Groups, Current Algebras and Kac-Moody Algebras, Acta Appl. Math., Vol. 10, 1987, pp. 1-86. | MR 904924 | Zbl 0644.22012

[HuPa 1] R.L. Hudson and K.R. Parthasarathy, Quantum Itô's Formula and Stochastic Evolutions, Commun. Math. Phys., Vol. 93, 1984, pp. 301-323. | MR 745686 | Zbl 0546.60058

[HuPa 2] R.L. Hudson and K.R. Parthasarathy, Unification of Fermion and Boson Stochastic Calculus, Commun. Math. Phys., Vol. 104, 1986, pp. 457-470. | MR 840747 | Zbl 0604.60063

[MoSi] A. Mohari and K.B. Sinha, Quantum Stochastic Flows With Infinite Degrees of Freedom and Countable State Markov Processes, Sankhya, Vol. 52, Ser. A., Part I, 1990, pp. 43-57. | MR 1176275 | Zbl 0719.60126

[Par] K.R. Parthasarathy, An Introduction to Quantum Stochastic Calculus, Birkhaüser Verlag, Basel, 1992. | MR 1164866 | Zbl 0751.60046

[PaSi] K.R. Parthasarathy and K.B. Sinha, Boson-Fermion Relations in Several Dimensions, Pramana-J. Phys., Vol. 27, 1986, pp.105-116.

[ReSi] M. Reed and B. Simon, Methods of Mathematical Physics, Volume 1: Functional Analysis, Academic Press, New York, 1980. | MR 751959 | Zbl 0459.46001

[Tha] B. Thaller, The Dirac Equation, Springer-Verlag, Berlin, Heidelberg, 1992. | MR 1219537