{"title":"Schrödinger Equation and Quantum Shock Waves when Describing Collisions of Atomic Nuclei","authors":"A. T. D’yachenko, I. A. Mitropolsky","doi":"10.1134/S1062873824707438","DOIUrl":null,"url":null,"abstract":"<p>Equations of quantum hydrodynamics were obtained from the Schrödinger equation considering dissipation, which in the semiclassical limit are reduced to the conventional equations of hydrodynamics of an ideal fluid. An analytical solution to the hydrodynamic equations was found in the quantum shock wave approximation in one- and two-dimensional cases. The dissipative function can be found using a nonequilibrium approach. A comparison was made with experimental data to describe the emission of protons in collisions of medium-sized atomic nuclei of intermediate energies.</p>","PeriodicalId":504,"journal":{"name":"Bulletin of the Russian Academy of Sciences: Physics","volume":"88 8","pages":"1279 - 1285"},"PeriodicalIF":0.4800,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Russian Academy of Sciences: Physics","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S1062873824707438","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
Abstract
Equations of quantum hydrodynamics were obtained from the Schrödinger equation considering dissipation, which in the semiclassical limit are reduced to the conventional equations of hydrodynamics of an ideal fluid. An analytical solution to the hydrodynamic equations was found in the quantum shock wave approximation in one- and two-dimensional cases. The dissipative function can be found using a nonequilibrium approach. A comparison was made with experimental data to describe the emission of protons in collisions of medium-sized atomic nuclei of intermediate energies.
期刊介绍：
Bulletin of the Russian Academy of Sciences: Physics is an international peer reviewed journal published with the participation of the Russian Academy of Sciences. It presents full-text articles (regular, letters to the editor, reviews) with the most recent results in miscellaneous fields of physics and astronomy: nuclear physics, cosmic rays, condensed matter physics, plasma physics, optics and photonics, nanotechnologies, solar and astrophysics, physical applications in material sciences, life sciences, etc. Bulletin of the Russian Academy of Sciences: Physics focuses on the most relevant multidisciplinary topics in natural sciences, both fundamental and applied. Manuscripts can be submitted in Russian and English languages and are subject to peer review. Accepted articles are usually combined in thematic issues on certain topics according to the journal editorial policy. Authors featured in the journal represent renowned scientific laboratories and institutes from different countries, including large international collaborations. There are globally recognized researchers among the authors: Nobel laureates and recipients of other awards, and members of national academies of sciences and international scientific societies.
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