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We consider a regularized Wigner equation with an oscillatory kernel, the regularization acts in the space variable to damp high frequencies. The oscillatory kernel is directly derived from the Schrod...
We consider fluctuations of the solution W ε(t, x, k) of the Wigner equation, which describes energy evolution of a solution of the Schr¨odinger equation with a random white noise in time potential. T...
We consider energy fluctuations for solutions of the Schrodinger equation with an OrnsteinUhlenbeck random potential when the initial data is spatially localized. The limit of the fluctuations of the ...
Making use of the Whittaker-Shannon interp olation formula w ith shifted sampling p oints, we prop ose in this pap e r a well-p osed semi-discretization of the stationary Wigner equation with inflow B...
Based on the well-posedness of the stationary Wigner equation with in ow bound-ary conditions given in [1], we prove without any additional prerequisite conditions that the solution of the Wigner eq...

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