Development of an algorithm of hydrodynamic analysis of quantum system evolution in expanding space


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Abstract

A method for calculating the spectrum of ionized electrons is developed based on a solution of the equation of quantum system evolution in expanding space in the hydrodynamic representation. Using one-dimensional test problems, it is shown that the proposed numerical algorithm provides results with satisfactory accuracy for smooth initial distributions, but needs improvement in cases when the system wave function has zeros.

About the authors

S. Yu. Ovchinnikov

Ioffe Physical Technical Institute

Email: smirta@mail.ru
Russian Federation, St. Petersburg, 194021

A. A. Smirnovsky

Ioffe Physical Technical Institute; Peter the Great St. Petersburg Polytechnic University

Author for correspondence.
Email: smirta@mail.ru
Russian Federation, St. Petersburg, 194021; St. Petersburg, 195251

A. A. Schmidt

Ioffe Physical Technical Institute

Email: smirta@mail.ru
Russian Federation, St. Petersburg, 194021


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