Heisenberg evolution of quantum observables represented by unbounded operators
DOI10.1016/j.jfa.2008.10.006zbMath1166.81015OpenAlexW2066607410MaRDI QIDQ999765
Publication date: 10 February 2009
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10533/142218
master equationsevolution operator equationsquantum dynamical semigroupsexistence and uniqueness of solutionsstochastic Schrödinger equationsunbounded observables
One-parameter semigroups and linear evolution equations (47D06) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Quantum stochastic calculus (81S25) Schrödinger and Feynman-Kac semigroups (47D08)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sufficient conditions for dissipative dynamical semigroups to be conservative
- Generators of dynamical semigroups
- On the generators of quantum dynamical semigroups
- Quantum dynamical semigroups and the neutron diffusion equation
- Sufficient conditions for conservativity of minimal quantum dynamical semigroups
- On the Lindblad equation with unbounded time-dependent coefficients
- Sufficient conditions for conservativity of quantum dynamical semigroups
- Perturbation theory for linear operators.
- On the structure of covariant dynamical semigroups
- On dissipative stochastic equations in a Hilbert space
- Basic properties of nonlinear stochastic Schrödinger equations driven by Brownian motions
- Decoherence of quantum Markov semigroups
- Algebraic probability spaces
- Cohomology of Operator Algebras and Quantum Dynamical Semigroups
- An Open Systems Approach to Quantum Optics
- Numerical simulation of stochastic evolution equations associated to quantum Markov semigroups
- Completely positive dynamical semigroups of N-level systems
- REGULARITY OF SOLUTIONS TO LINEAR STOCHASTIC SCHRÖDINGER EQUATIONS
- TWO-PHOTON ABSORPTION AND EMISSION PROCESS
- Quantum noise. A handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics.
- Stochastic Equations in Infinite Dimensions
This page was built for publication: Heisenberg evolution of quantum observables represented by unbounded operators