Continuous Maassen kernels and the inverse oscillator

Wilhelm von Waldenfels

Séminaire de probabilités de Strasbourg (1996)

  • Volume: 30, page 117-161

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Waldenfels, Wilhelm von. "Continuous Maassen kernels and the inverse oscillator." Séminaire de probabilités de Strasbourg 30 (1996): 117-161. <http://eudml.org/doc/113924>.

@article{Waldenfels1996,
author = {Waldenfels, Wilhelm von},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {quantum stochastic differential equation; Maassen kernels; Markovian birth process},
language = {eng},
pages = {117-161},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Continuous Maassen kernels and the inverse oscillator},
url = {http://eudml.org/doc/113924},
volume = {30},
year = {1996},
}

TY - JOUR
AU - Waldenfels, Wilhelm von
TI - Continuous Maassen kernels and the inverse oscillator
JO - Séminaire de probabilités de Strasbourg
PY - 1996
PB - Springer - Lecture Notes in Mathematics
VL - 30
SP - 117
EP - 161
LA - eng
KW - quantum stochastic differential equation; Maassen kernels; Markovian birth process
UR - http://eudml.org/doc/113924
ER -

References

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  1. [1] Belavkin, V.P.: A quantum non adapted Ito formula and non stationary evolution in Fock scale. Quantum probability and applications. VI, p. 137-180. World Scientific (Singapore) (1992) Zbl0937.60045MR1140634
  2. [2] Glauber, R.J.: Amplifiers, Attenuators and the Quantum Theory of Measurement. In Frontiers in Quantum Optics, ed. by E.R. Pike and S. Sarkar, Vol. X of Malveru Physics Theories (Adam Hilger), Bristol, 1986. MR943859
  3. [3] Haake, F., Walls, D.F.: Overdamped and Amplifying Meters in the Quantum Theory of Measurement. Phys. Rev. A. 36 (1987), p. 730-739. MR901719
  4. [4] Hepp, K., Lieb, E.H.: Phase Transitions in Reservoirdriven Open Systems with Applications to Lasers and Superconductors. Helv. Phys. Acta.46 (1973), p. 573-603. 
  5. [5] Hudson, R.L., Parthasarathy, K.R.: Construction of Quantum Diffusions. Lecture Notes in Mathematics1055, Springer (1984), p. 173-205. Zbl0542.60053MR782904
  6. [6] Lindsay, J.M.: Quantum and non-causal stochastic calculus. Prob. Theory Relat. Fields97, (1993), p. 65-80. Zbl0794.60052
  7. [7] Lindsay, J.M., Maassen, H.: The Stochastic Calculus of Bose Noise. Preprint, Nijmwegen (1988). Zbl0652.60068MR985820
  8. [8] Lindsay, M., Maassen, H.: An Integral Kernel Approach to Noise. Lecture Notes in Mathematics1303, Springer (1988), p. 192-208. Zbl0652.60068MR985820
  9. [9] Maassen, H.: Quantum Markov Processes on Fock Space Described by Integral Kernels. Lecture Notes in Mathematics1136, Springer (1985), p. 361-374. MR819517
  10. [10] Meyer, P.A.: Quantum Probability for Probabilists. Lecture Notes in Mathematics1538, Springer (1993). Zbl0773.60098MR1222649
  11. [11] Palma, G.M., Vaglica, A., Leonardi, C., De Oliveira, F.A.M., Knight, P.L.: Effects of Broadband Squeezing on the Quantum Onset of Superradiance. Optics Communications, 79 (1990), p. 377-380. 
  12. [12] Robinson, P., Maassen, H.: Quantum Stochastic Calculus and the Dynamical Stark Effect. Reports an Math. Phys. Vol. 30 (1991). Zbl0756.60102MR1188395
  13. [13] Waldenfels, W.v.: Spontaneous Light Emission Described by a Quantum Stochastic Differential Equation. Lecture Notes in Mathematics1136, Springer (1985), p. 515-534. Zbl0569.60059MR819530
  14. [14] Waldenfels, W.v.: The Inverse Oscillator in a Heat Bath as a Quantum Stochastic Process. Preprint 630. 1991. SFB123 (Heidelberg). 

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