Relativistic transformation properties of quantum stochastic calculus
Alberto Frigerio; Marco Ruzzier
Annales de l'I.H.P. Physique théorique (1989)
- Volume: 51, Issue: 1, page 67-79
- ISSN: 0246-0211
Access Full Article
topHow to cite
topFrigerio, Alberto, and Ruzzier, Marco. "Relativistic transformation properties of quantum stochastic calculus." Annales de l'I.H.P. Physique théorique 51.1 (1989): 67-79. <http://eudml.org/doc/76459>.
@article{Frigerio1989,
author = {Frigerio, Alberto, Ruzzier, Marco},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {quantum stochastic calculus; stochastic differential equations},
language = {eng},
number = {1},
pages = {67-79},
publisher = {Gauthier-Villars},
title = {Relativistic transformation properties of quantum stochastic calculus},
url = {http://eudml.org/doc/76459},
volume = {51},
year = {1989},
}
TY - JOUR
AU - Frigerio, Alberto
AU - Ruzzier, Marco
TI - Relativistic transformation properties of quantum stochastic calculus
JO - Annales de l'I.H.P. Physique théorique
PY - 1989
PB - Gauthier-Villars
VL - 51
IS - 1
SP - 67
EP - 79
LA - eng
KW - quantum stochastic calculus; stochastic differential equations
UR - http://eudml.org/doc/76459
ER -
References
top- [1] R.L. Hudson and K.R. Parthasarathy, Quantum Itô's Formula and Stochastic Evolutions, Commun. Math. Phys., Vol. 93, 1984, p. 301-323. Zbl0546.60058MR745686
- [2] K.R. Parthasarathy and K.B. Sinha, Representation of a Class of Quantum Martingales H; in Quantum Probability and Applications III, Proceedings, 1987 L. ACCARDI, W. VON WALDENFELDS ed.; Springer LNM, 1303, 1988, p. 232-250. Zbl0641.46039
- [3] A. Frigerio, Covariant Markov Dilations of Quantum Dynamical Semigroups, Publ. R.I.M.S., Kyoto Univ., Vol. 21, 1985, p. 657-675. Zbl0593.60092MR814673
- [4] A. Barichielli, Measurement Theory and Stochastic Differential Equations in Quantum Mechanics, Phys. Rev.A, Vol. 34, 1984, p. 1642-1649. MR854201
- [5] A. Barchielli, Input and Output Channels in Quantum Systems and Quantum Stochastic Differential Equations in [2], p. 37-51. Zbl0636.60070MR985810
- [6] A. Frigerio, Quantum Poisson Processes: Physical Motivations and Applications, in [2], p. 107-127. Zbl0635.60095MR985815
- [7] L. Accardi, A. Frigerio A. and Y.G. Lu, On the Weak Coupling Limit Problem, preprint. Zbl0682.60092MR1019565
- [8] C.W. Gardiner and M.J. Collett, Input and Output in Quantum Systems: Quantum Stochastic Differential Equations and Applications, Phys. Rev. A, Vol. 31, 1985, p. 3761-3774. MR791872
- [9] S. Doplicher, T. Regge and I.M. Singer, A Geometrical Model Showing the Independence of Lacality and Positivity of the Energy, Commun Math. Phys., Vol. 7, 1968, p. 51-54. Zbl0179.58202
- J.V. Pulè, The Bloch Equation, Commun. Math. Phys., Vol. 38, 1974, p. 241-256. MR359650
- [11] E.B. Davies, Markovian Master Equations, Commun. Math. Phys., Vol. 39, 1974, p. 91-110. Zbl0294.60080MR359633
- [12] V. Gorini and A. Kossakowski, N-level System in Contact with a Singular Reservoir, J. Math. Phys., Vol. 17, 1976, p. 1298-1305. MR411478
- [13] V. Gorini, A. Kossakowski and E.C.G. Sudarshan, Completely Posisive Dynamical Semigroups of N-level Systems, J. Math. Phys., Vol. 17, 1976, p. 821-825. MR406206
- [14] G. Lindblad, On the Generators of Quantum Dynamical Semigroups, Commun. Math. Phys., Vol. 48, 1976, p. 119-130. Zbl0343.47031MR413878
- [15] H.P. Yuen and J.H. Shapiro, Optimal Communication with Two-Photon Coherent States-Part I; I.E.E.E. Transactions on Information Theory, vol. IT-24, 1978, p. 657- 668. Zbl0402.94001MR514344
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.