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Эта публикация цитируется в 51 научных статьях (всего в 51 статьях)
Квантовая гидродинамика систем частиц с кулоновским взаимодействием и квантовый потенциал Бома
Л. С. Кузьменков, С. Г. Максимов
Московский государственный университет им. М. В. Ломоносова, физический факультет
Аннотация:
Показано, что квантовая динамика систем частиц с кулоновским взаимодействием во внешнем электромагнитном поле может быть представлена в виде полевых уравнений микроскопической динамики в физическом пространстве. Уравнения макроскопической гидродинамики получены путем локального усреднения. Квантовые поправки в уравнениях гидродинамики обусловлены многочастичным квантовым потенциалом Бома. Исследованы особенности гидродинамики ферми- и бозе-систем. При обычных для классической гидродинамики предположениях найдены интеграл типа Коши для квантовой системы и соответствующее одночастичное уравнение Шредингера.
DOI:
https://doi.org/10.4213/tmf700
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Англоязычная версия:
Theoretical and Mathematical Physics, 1999, 118:2, 227–240
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Поступило в редакцию: 03.07.1998
Образец цитирования:
Л. С. Кузьменков, С. Г. Максимов, “Квантовая гидродинамика систем частиц с кулоновским взаимодействием и квантовый потенциал Бома”, ТМФ, 118:2 (1999), 287–304; Theoret. and Math. Phys., 118:2 (1999), 227–240
Цитирование в формате AMSBIB
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