Schrödinger equation and quantum shock waves when describing collisions of atomic nuclei

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Equations of quantum hydrodynamics were obtained from the Schrödinger equation considering dissipation, which in the semiclassical limit are reduced to the traditional equations of hydrodynamics of an ideal fluid. An analytical solution to the hydrodynamic equations is found in the quantum shock wave approximation in one-dimensional and two-dimensional cases. The dissipative function can be found in the nonequilibrium approach. A comparison is made with experimental data to describe the emission of protons in collisions of medium-sized atomic nuclei of intermediate energies.

作者简介

A. D’yachenko

B. P. Konstantinov Petersburg Nuclear Physics Institute of the National Research Center “Kurchatov Institute”; Saint Petersburg State Transport University

编辑信件的主要联系方式.
Email: dyachenko_a@mail.ru
俄罗斯联邦, Gatchina, 188300; St. Petersburg, 190031

I. Mitropolsky

B. P. Konstantinov Petersburg Nuclear Physics Institute of the National Research Center “Kurchatov Institute”

Email: dyachenko_a@mail.ru
俄罗斯联邦, Gatchina, 188300

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