Weyl dynamical maps are fully classified via phase-space subgroups; convex mixing of eternally non-Markovian dephasing maps yields Markovian semigroups, and irreducible eternally non-Markovian examples exist for qutrits.
Zeitschrift f¨ ur Physik46(1-2), 1–46 (1927)
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Necessary and sufficient conditions are proven for Schrödinger operators to possess zero-energy bound states with bounded k-th position moments at the essential spectrum threshold.
Phase-space kinetic modeling with distribution function f(r,p,t) is applied to solid-state plasmas in nano-objects, adding quantum, spin, relativistic and dissipative features for linear and nonlinear response examples.
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Convexity and non-Markovianity of Weyl Maps
Weyl dynamical maps are fully classified via phase-space subgroups; convex mixing of eternally non-Markovian dephasing maps yields Markovian semigroups, and irreducible eternally non-Markovian examples exist for qutrits.
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Eigenstates with Infinite Position Moments
Necessary and sufficient conditions are proven for Schrödinger operators to possess zero-energy bound states with bounded k-th position moments at the essential spectrum threshold.
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Phase-space modelling of solid-state plasmas
Phase-space kinetic modeling with distribution function f(r,p,t) is applied to solid-state plasmas in nano-objects, adding quantum, spin, relativistic and dissipative features for linear and nonlinear response examples.