ДОПОЛНИТЕЛЬНОСТЬ В КОНЕЧНОЙ КВАНТОВОЙ МЕХАНИКЕ И КОМПЬЮТЕРНЫЕ ВЫЧИСЛЕНИЯ КОМПЛЕМЕНТАРНЫХ НАБЛЮДАЕМЫХ
- Авторы: Корняк В.В.1
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Учреждения:
- Объединенный институт ядерных исследований,
- Выпуск: № 5 (2023)
- Страницы: 59-69
- Раздел: КОМПЬЮТЕРНАЯ АЛГЕБРА
- URL: https://journals.rcsi.science/0132-3474/article/view/141784
- DOI: https://doi.org/10.31857/S0132347423020115
- EDN: https://elibrary.ru/MFYKPU
- ID: 141784
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Аннотация
Математическая формулировка принципа дополнительности Бора приводит к понятиям взаимно несмещенных базисов в гильбертовых пространствах и комплементарных квантовых наблюдаемых. Мы рассматриваем связанные с этими понятиями алгебраические структуры и их приложения к конструктивной квантовой механике. Кратко обсуждаются компьютерно-алгебраические подходы к рассматриваемым задачам и приводится алгоритм для решения одной из них.
Об авторах
В. В. Корняк
Объединенный институт ядерных исследований,
Автор, ответственный за переписку.
Email: vkornyak@gmail.com
Россия, 141980, Дубна, Московская область
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