Lagrangian form of Schrodinger equation
Апстракт
Lagrangian formulation of quantum mechanical Schrodinger equation is developed in general and illustrated in the eigenbasis of the Hamiltonian and in the coordinate representation. The Lagrangian formulation of physically plausible quantum system results in a well defined second order equation on a real vector space. The Klein-Gordon equation for a real field is shown to be the Lagrangian form of the corresponding Schrodinger equation.
Извор:
Foundations of Physics, 2014, 44, 7, 725-735Финансирање / 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)
- COST [MP1006]
DOI: 10.1007/s10701-014-9810-4
ISSN: 0015-9018; 1572-9516
WoS: 000339383500002
Scopus: 2-s2.0-84939898353
Колекције
Институција/група
VinčaTY - JOUR AU - Arsenović, Dušan AU - Buric, N. AU - Davidović, Dragomir M. AU - Prvanovic, S. PY - 2014 UR - https://vinar.vin.bg.ac.rs/handle/123456789/5452 AB - Lagrangian formulation of quantum mechanical Schrodinger equation is developed in general and illustrated in the eigenbasis of the Hamiltonian and in the coordinate representation. The Lagrangian formulation of physically plausible quantum system results in a well defined second order equation on a real vector space. The Klein-Gordon equation for a real field is shown to be the Lagrangian form of the corresponding Schrodinger equation. T2 - Foundations of Physics T1 - Lagrangian form of Schrodinger equation VL - 44 IS - 7 SP - 725 EP - 735 DO - 10.1007/s10701-014-9810-4 ER -
@article{ author = "Arsenović, Dušan and Buric, N. and Davidović, Dragomir M. and Prvanovic, S.", year = "2014", abstract = "Lagrangian formulation of quantum mechanical Schrodinger equation is developed in general and illustrated in the eigenbasis of the Hamiltonian and in the coordinate representation. The Lagrangian formulation of physically plausible quantum system results in a well defined second order equation on a real vector space. The Klein-Gordon equation for a real field is shown to be the Lagrangian form of the corresponding Schrodinger equation.", journal = "Foundations of Physics", title = "Lagrangian form of Schrodinger equation", volume = "44", number = "7", pages = "725-735", doi = "10.1007/s10701-014-9810-4" }
Arsenović, D., Buric, N., Davidović, D. M.,& Prvanovic, S.. (2014). Lagrangian form of Schrodinger equation. in Foundations of Physics, 44(7), 725-735. https://doi.org/10.1007/s10701-014-9810-4
Arsenović D, Buric N, Davidović DM, Prvanovic S. Lagrangian form of Schrodinger equation. in Foundations of Physics. 2014;44(7):725-735. doi:10.1007/s10701-014-9810-4 .
Arsenović, Dušan, Buric, N., Davidović, Dragomir M., Prvanovic, S., "Lagrangian form of Schrodinger equation" in Foundations of Physics, 44, no. 7 (2014):725-735, https://doi.org/10.1007/s10701-014-9810-4 . .