Schrödinger uncertainty relations and physical features of correlated-coherent states

We show that the difference between the Schrödinger uncertainty relations (UR) and the Heisenberg UR is fundamental. We propose a modified version of stochastic mechanics that allows clearly demonstrating that the contributions from the anticommutator and the commutator to the Schrödinger UR are equally important. A clasification of quantum states minimizing the Schrödinger UR at an arbitrary instant is proposed. We show that the correlation of the coordinate and momentum fluctuations in such correlated-coherent states (CCS) is largely determined by the contributions from not only the commutator but also the anticommutator of the corresponding operators. We demonstrate that the character of this correlation changes qualitatively in time from the antiphase correlation typical for the Heisenberg UR to the inphase correlation for which the contribution from the anticommutator is decisive. We comparatively analyze properties of a free microparticle and a quantum oscillator in CCS and show that the CCS correspond to traveling-standing de Broglie waves in both models.

Авторы
Редакторы
-
Издательство
-
Номер выпуска
3
Язык
Английский
Страницы
1277-1294
Статус
Опубликовано
Подразделение
-
Номер
-
Том
132
Год
2002
Организации
  • 1 Russ. Univ. of Peoples' Friendship, Moscow, Russian Federation
Ключевые слова
Antiphase and inphase correlation of fluctuations; Correlated-coherent states; Generalized correlator; Schrödinger universal uncertainty relations
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/133/