On the Lindblad equation with unbounded time-dependent coefficients

DOI10.1007/BF02355012zbMath0912.47043MaRDI QIDQ1274011

Julio C. Garcia, Alexander M. Chebotarev, Roberto Quezada

Publication date: 11 January 1999

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

a priori estimatesvon Neumann algebramaster equationtime-dependent operator coefficientsLindblad equationminimal quantum dynamical semigroupexistence of conservative solutionsMarkov evolution equationsminimal resolventpredual semigroup

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Markov semigroups and applications to diffusion processes (47D07) Applications of operator theory in the physical sciences (47N50) General theory of von Neumann algebras (46L10) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (4)

Heisenberg evolution of quantum observables represented by unbounded operators ⋮ The quantum stochastic equation is unitarily equivalent to a symmetric boundary value problem for the Schrödinger equation ⋮ Quantum Stochastic Differential Equation is Unitarily Equivalent to a Symmetric Boundary Value Problem in Fock Space ⋮ Solving quantum stochastic differential equations with unbounded coefficients

Cites Work

• Necessary and sufficient conditions for conservativeness of dynamical semigroups
• On the generators of quantum dynamical semigroups
• Sufficient conditions for conservativity of minimal quantum dynamical semigroups
• Sufficient conditions for conservativity of quantum dynamical semigroups
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