On the second quantisation of Hilbert-Schmidt processes

David Applebaum

Annales de l'I.H.P. Physique théorique (1995)

  • Volume: 62, Issue: 1, page 1-16
  • ISSN: 0246-0211

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Applebaum, David. "On the second quantisation of Hilbert-Schmidt processes." Annales de l'I.H.P. Physique théorique 62.1 (1995): 1-16. <http://eudml.org/doc/76667>.

@article{Applebaum1995,
author = {Applebaum, David},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {quantum stochastic calculus; representations of the extended canonical commutation relations; space of maps from the positive half-line into the Hilbert-Schmidt operators},
language = {eng},
number = {1},
pages = {1-16},
publisher = {Gauthier-Villars},
title = {On the second quantisation of Hilbert-Schmidt processes},
url = {http://eudml.org/doc/76667},
volume = {62},
year = {1995},
}

TY - JOUR
AU - Applebaum, David
TI - On the second quantisation of Hilbert-Schmidt processes
JO - Annales de l'I.H.P. Physique théorique
PY - 1995
PB - Gauthier-Villars
VL - 62
IS - 1
SP - 1
EP - 16
LA - eng
KW - quantum stochastic calculus; representations of the extended canonical commutation relations; space of maps from the positive half-line into the Hilbert-Schmidt operators
UR - http://eudml.org/doc/76667
ER -

References

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  1. [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. Zbl0644.22012MR904924
  2. [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. Zbl0546.60058MR745686
  3. [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. Zbl0604.60063MR840747
  4. [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. Zbl0719.60126MR1176275
  5. [Par] K.R. Parthasarathy, An Introduction to Quantum Stochastic Calculus, Birkhaüser Verlag, Basel, 1992. Zbl0751.60046MR1164866
  6. [PaSi] K.R. Parthasarathy and K.B. Sinha, Boson-Fermion Relations in Several Dimensions, Pramana-J. Phys., Vol. 27, 1986, pp.105-116. 
  7. [ReSi] M. Reed and B. Simon, Methods of Mathematical Physics, Volume 1: Functional Analysis, Academic Press, New York, 1980. Zbl0459.46001MR751959
  8. [Tha] B. Thaller, The Dirac Equation, Springer-Verlag, Berlin, Heidelberg, 1992. MR1219537

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