Dynamical time versus system time in quantum mechanics
Апстракт
Properties of an operator representing the dynamical time in the extended parameterization invariant formulation of quantum mechanics are studied. It is shown that this time operator is given by a positive operator measure analogously to the quantities that are known to represent various measurable time operators. The relation between the dynamical time of the extended formulation and the best known example of the system time operator, i.e., for the free one-dimensional particle, is obtained.
Кључне речи:
time operators / extended state space / positive operator valued measureИзвор:
Chinese Physics B, 2012, 21, 7Финансирање / пројекти:
- Моделирање и нумеричке симулације сложених вишечестичних система (RS-MESTD-Basic Research (BR or ON)-171017)
- Нови приступ проблемима заснивања квантне механике са аспекта примене у квантним технологијама и интерпретацијама сигнала различитог порекла (RS-MESTD-Basic Research (BR or ON)-171028)
- Нелинеарна динамика локализованих самоорганизованих структура у плазми, нано-композитним материјалима, течним и фотоничним кристалима и ултрахладним кондензатима (RS-MESTD-Basic Research (BR or ON)-171006)
DOI: 10.1088/1674-1056/21/7/070302
ISSN: 1674-1056
WoS: 000306558300014
Scopus: 2-s2.0-84864203237
Колекције
Институција/група
VinčaTY - JOUR AU - Arsenović, Dušan AU - Buric, Nikola AU - Davidovic, Dragomir AU - Prvanovic, Slobodan PY - 2012 UR - https://vinar.vin.bg.ac.rs/handle/123456789/4958 AB - Properties of an operator representing the dynamical time in the extended parameterization invariant formulation of quantum mechanics are studied. It is shown that this time operator is given by a positive operator measure analogously to the quantities that are known to represent various measurable time operators. The relation between the dynamical time of the extended formulation and the best known example of the system time operator, i.e., for the free one-dimensional particle, is obtained. T2 - Chinese Physics B T1 - Dynamical time versus system time in quantum mechanics VL - 21 IS - 7 DO - 10.1088/1674-1056/21/7/070302 ER -
@article{ author = "Arsenović, Dušan and Buric, Nikola and Davidovic, Dragomir and Prvanovic, Slobodan", year = "2012", abstract = "Properties of an operator representing the dynamical time in the extended parameterization invariant formulation of quantum mechanics are studied. It is shown that this time operator is given by a positive operator measure analogously to the quantities that are known to represent various measurable time operators. The relation between the dynamical time of the extended formulation and the best known example of the system time operator, i.e., for the free one-dimensional particle, is obtained.", journal = "Chinese Physics B", title = "Dynamical time versus system time in quantum mechanics", volume = "21", number = "7", doi = "10.1088/1674-1056/21/7/070302" }
Arsenović, D., Buric, N., Davidovic, D.,& Prvanovic, S.. (2012). Dynamical time versus system time in quantum mechanics. in Chinese Physics B, 21(7). https://doi.org/10.1088/1674-1056/21/7/070302
Arsenović D, Buric N, Davidovic D, Prvanovic S. Dynamical time versus system time in quantum mechanics. in Chinese Physics B. 2012;21(7). doi:10.1088/1674-1056/21/7/070302 .
Arsenović, Dušan, Buric, Nikola, Davidovic, Dragomir, Prvanovic, Slobodan, "Dynamical time versus system time in quantum mechanics" in Chinese Physics B, 21, no. 7 (2012), https://doi.org/10.1088/1674-1056/21/7/070302 . .