A representation of the Belavkin equation via Feynman path integrals |
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| Authors: | Albeverio S Guatteri G Mazzucchi S |
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| Institution: | (1) Institut für Angewandte Mathematik, Wegelerstr. 6, 53115 Bonn, SFB256; BIBOS; Cerfim (Locarno), Acc. Arch. (USI), Mendrisio; Università di Trento,;(2) Dipartimento di Matematica, Università di Trento, 38050 Povo, Italia. e-mail: mazzucch@science.unitn.it, IT |
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| Abstract: | The Belavkin equation, describing the continuous measurement of the position of a quantum particle, is studied. A rigorous
representation of its solution by means of an infinite dimensional oscillatory integral (Feynman path integral) defined on
the complex Cameron-Martin space is given.
Received: 7 January 2002 / Revised version: 20 June 2002 / Published online: 19 December 2002
Mathematics Subject Classification (2000): 81, 81S40, 60H15
Key words or phrases: Belavkin equation – Continuous measurement – Quantum theory – Oscillatory integrals – Feynman path integrals |
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