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Schrödinger equation and quantum shock waves when describing collisions of atomic nuclei
- Authors: D’yachenko A.T.1,2, Mitropolsky I.A.1
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Affiliations:
- B. P. Konstantinov Petersburg Nuclear Physics Institute of the National Research Center “Kurchatov Institute”
- Saint Petersburg State Transport University
- Issue: Vol 88, No 8 (2024)
- Pages: 1268-1273
- Section: Fundamental problems and applications of physics of atomic nucleus
- URL: https://edgccjournal.org/0367-6765/article/view/676748
- DOI: https://doi.org/10.31857/S0367676524080177
- EDN: https://elibrary.ru/OPSAMU
- ID: 676748
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Abstract
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.
About the authors
A. T. D’yachenko
B. P. Konstantinov Petersburg Nuclear Physics Institute of the National Research Center “Kurchatov Institute”; Saint Petersburg State Transport University
Author for correspondence.
Email: dyachenko_a@mail.ru
Russian Federation, Gatchina, 188300; St. Petersburg, 190031
I. A. Mitropolsky
B. P. Konstantinov Petersburg Nuclear Physics Institute of the National Research Center “Kurchatov Institute”
Email: dyachenko_a@mail.ru
Russian Federation, Gatchina, 188300
References
- Madelung Е. // Z. Physik. 1926. V. 40. P. 332.
- Дьяченко А.Т. // Ядерн. физика. 2023. Т. 86 С. 428; D’yachenko A.T. // Phys. Atom. Nucl. 2023. V. 86. P. 289.
- D’yachenko A.T., Gridnev K.A., Greiner W. // J. Physics G. 2013. V. 40. No. 3. Art. No. 085101.
- Дьяченко А.Т., Митропольский И.А. // Ядерн. физика. 2020. Т. 83. С. 317; D’yachenko A.T., Mitropolsky I.A. // Phys. Atom. Nucl. 2020. V. 83. P. 558.
- Дьяченко А.Т., Митропольский И.А. // Изв. РАН. Сер. физ. 2020. Т. 84. С. 508; D’yachenko A.T., Mitropolsky I.A. // Bull. Russ. Acad. Sci. Phys. 2020. V. 84. P. 391.
- Дьяченко А.Т., Митропольский И.А. // Изв. РАН. Сер. физ. 2021. Т. 85. С. 716; D’yachenko A.T., Mitropolsky I.A. // Bull. Russ. Acad. Sci. Phys. 2021. V. 85. P. 554.
- D’yachenko A.T., Mitropolsky I.A. // EPJ Web Conf. 2019. V. 204. No. 3. Art. No. 03018.
- D’yachenko A.T., Mitropolsky I.A. // Phys. Atom. Nucl. 2019. V. 82. P. 1641
- Дьяченко А.Т., Митропольский И.А. // Ядерн. физика. 2023. Т. 86 С. 285; D’yachenko A.T., Mitropolsky I.A. // Phys. Atom. Nucl. 2022. V. 85. P. 1053.
- Дьяченко А.Т., Митропольский И.А. // Изв. РАН. Сер. физ. 2022. Т. 86. № 8. C. 1155; D’yachenko A.T., Mitropolsky I.A. // Bull. Russ. Acad. Sci. Phys. 2022. V. 86. No. 8. P. 962.
- Дьяченко А.Т., Митропольский И.А. // Изв. РАН. Сер. физ. 2023. Т. 87. № 8. C. 1155; D’yachenko A.T., Mitropolsky I.A. // Bull. Russ. Acad. Sci. Phys. 2023. V. 87. No. 8. P. 1169.
- Nemeth J., Barranco M., Ngö C., Tomasi Е. // Z. Physik A. 1986. V. 323. P. 419.
- Nagamiya S., Lemaire M.-C., Moeller E. et al. // Phys. Rev. C. 1981. V. 24. P. 971.
- Мишустин И.Н., Русских В.Н., Сатаров Л.М. // Ядерн. физика. 1991. Т. 54. С. 429; Mishustin I.N., Russkikh V.N., Satarov L.M. // Sov. J. Nucl. Phys. 1991. V. 54. P. 260.
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