A Note on the Long Time Asymptotic s of the Brownian Motion with Application to the Theory of Quantum Measurement

Potential Analysis

Volumn 7, Issue 4, 1997, Pages 759-764

  Kolokoltsov, Vassili N ^a  

^a NOTTINGHAM TRENT UNIVERSITY   (United Kingdom)

Author keywords

Brownian motion; Quantum filtering; Stochastic equation

Indexed keywords

EID: 0031518992     PISSN: 09262601     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1017946519693     Document Type: Article

References (12)

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2. Diosi, L.: 'Continuous quantum measurement and Ito formalism', Phys. Lett. A 129 (1988), 419-423.
3. Gatarek, D. and Gisin, N.: 'Continuous quantum jumps and infinite dimensional stochastic equations', J. Math. Phys. 32 (1991), 2152-2156.
4. Belavkin, V. P. and Kolokoltsov, V. N.: 'Quasi-classical asymptotics of quantum stochastic equations', Teor. Mat. Fiz. 89 (1991), 163-178. Engl. transl. in Theor. Math. Phys.
5. Belavkin, V. P. and Kolokoltsov, V. N.: 'Quasi-classical asymptotics of quantum stochastic equations', Teor. Mat. Fiz. 89 (1991), 163-178. Engl. transl. in Theor. Math. Phys.
6. Kolokoltsov, V. N.: 'Application of quasi-classical method to the investigation of the Belavkin quantum filtering equation', Mat. Zametki 50 (1993), 153-156. Engl. transl. in Math. Notes.
7. Kolokoltsov, V. N.: 'Application of quasi-classical method to the investigation of the Belavkin quantum filtering equation', Mat. Zametki 50 (1993), 153-156. Engl. transl. in Math. Notes.
8. Kolokoltsov, V. N.: 'Scattering theory for the Belavkin equation describing a quantum particle with continuously observed coordinate', Ruhr University Bochum, SFB 237, Preprint 228 (1994). To appear in J. Math. Phys. 36(6) (1995).
9. Kolokoltsov, V. N.: 'Scattering theory for the Belavkin equation describing a quantum particle with continuously observed coordinate', Ruhr University Bochum, SFB 237, Preprint 228 (1994). To appear in J. Math. Phys. 36(6) (1995).
10. Belavkin, V. P. and Staszevski, P.: 'A stochastic solution of Zeno paradox for quantum Brownian motion', Centro Mat. V. Volterra, Univ. degli studi di Roma 2. Preprint 28 (1990). Phys. Rev. A 45(3) (1992), 1347-1356.
11. Belavkin, V. P. and Staszevski, P.: 'A stochastic solution of Zeno paradox for quantum Brownian motion', Centro Mat. V. Volterra, Univ. degli studi di Roma 2. Preprint 28 (1990). Phys. Rev. A 45(3) (1992), 1347-1356.
12. Albeverio, S., Hilbert, A. and Kolokoltsov, V.: Transience for Stochastically Perturbed Newton Systems. Ruhr University Bochum, SFB 237, preprint (1995).