🔧На сайте запланированы технические работы
25.12.2025 в промежутке с 18:00 до 21:00 по Московскому времени (GMT+3) на сайте будут проводиться плановые технические работы. Возможны перебои с доступом к сайту. Приносим извинения за временные неудобства. Благодарим за понимание!
🔧Site maintenance is scheduled.
Scheduled maintenance will be performed on the site from 6:00 PM to 9:00 PM Moscow time (GMT+3) on December 25, 2025. Site access may be interrupted. We apologize for the inconvenience. Thank you for your understanding!

 

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


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

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

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2016 Pleiades Publishing, Ltd.