Lagrangian form of Schrodinger equation
Apstrakt
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.
Izvor:
Foundations of Physics, 2014, 44, 7, 725-735Finansiranje / projekti:
- Modeliranje i numeričke simulacije složenih višečestičnih sistema (RS-MESTD-Basic Research (BR or ON)-171017)
- Novi pristup problemima zasnivanja kvantne mehanike sa aspekta primene u kvantnim tehnologijama i interpretacijama signala različitog porekla (RS-MESTD-Basic Research (BR or ON)-171028)
- Nelinearna dinamika lokalizovanih samoorganizovanih struktura u plazmi, nano-kompozitnim materijalima, tečnim i fotoničnim kristalima i ultrahladnim kondenzatima (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
Kolekcije
Institucija/grupa
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 . .