کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1897654 1044560 2009 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A hydrodynamic approach to multidimensional dissipation-based Schrödinger models from quantum Fokker–Planck dynamics
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A hydrodynamic approach to multidimensional dissipation-based Schrödinger models from quantum Fokker–Planck dynamics
چکیده انگلیسی

In this paper we are concerned with the modeling of quantum dissipation and diffusion effects at the level of the multidimensional Schrödinger equation. Our starting point is the quantum Fokker–Planck master equation describing dissipative interactions (of mass and energy) of the particle ensemble with a thermal bath in thermodynamic equilibrium. When considering its associated hydrodynamic system, which rules the temporal evolution of the local density and the mean fluid-flow velocity, and imposing physically admissible closure relations, these equations can be seen as describing the fluid-mechanical evolution of the macroscopic amplitude and phase of an envelope wavefunction, thus giving rise to a family of dissipative Schrödinger equations of logarithmic type whose steady state and radial dynamics are analyzed. Also, numerical comparison with the exactly solvable models for the free particle and the damped harmonic oscillator is performed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 238, Issue 6, 1 April 2009, Pages 622–644
نویسندگان
, ,