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Quantum stochastic equation for the low density limit | L. Accardi
; A. N. Pechen
; I. V. Volovich
; | Date: |
24 Aug 2001 | Journal: | J. Phys. A: Math. Gen. 35 (2002) 4889-4902 DOI: 10.1088/0305-4470/35/23/306 | Subject: | Quantum Physics; Mathematical Physics; Quantum Algebra | quant-ph math-ph math.MP math.QA | Abstract: | A new derivation of quantum stochastic differential equation for the evolution operator in the low density limit is presented. We use the distribution approach and derive a new algebra for quadratic master fields in the low density limit by using the energy representation. We formulate the stochastic golden rule in the low density limit case for a system coupling with Bose field via quadratic interaction. In particular the vacuum expectation value of the evolution operator is computed and its exponential decay is shown. | Source: | arXiv, quant-ph/0108112 | Services: | Forum | Review | PDF | Favorites |
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