Exact Solutions of the Caldeira-Leggett Master Equation: A Factorization Theorem For Decoherence

dc.creatorRoy, S. M.
dc.creatorVenugopalan, Anu
dc.date1999-10-01
dc.date.accessioned2026-07-07T06:17:00Z
dc.date.available2026-07-07T06:17:00Z
dc.descriptionExact solutions of the Caldeira-Leggett Master equation for the reduced density matrix for a free particle and for a harmonic oscillator system coupled to a heat bath of oscillators are obtained for arbitrary initial conditions. The solutions prove that the Fourier transform of the density matrix at time t with respect to (x + x')/2, where x and x' are the initial and final coordinates, factorizes exactly into a part depending linearly on the initial density matrix and a part independent of it. The theorem yields the exact initial state dependence of the density operator at time t and its eventual diagonalization in the energy basis.
dc.description8 pages, latex
dc.identifierhttps://arxiv.org/abs/quant-ph/9910004
dc.identifierhttp://arxiv.org/abs/quant-ph/9910004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94259
dc.subjectQuantum Physics
dc.titleExact Solutions of the Caldeira-Leggett Master Equation: A Factorization Theorem For Decoherence
dc.typetext

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