Petković, Dragan

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  • Petković, Dragan (1)
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Solving Schrödinger Equation for a Particle in One-Dimensional Lattice: An Homotopy Perturbations Approach

Kevkić, Tijana; Stojanović, Vladica; Petković, Dragan

(Bucuresti : Editura Academiei Romane, 2019)

TY  - JOUR
AU  - Kevkić, Tijana
AU  - Stojanović, Vladica
AU  - Petković, Dragan
PY  - 2019
UR  - https://jakov.kpu.edu.rs/handle/123456789/1661
AB  - In this paper, a novel approach for an approximate solving Schrödinger equation for a particle in the one-dimensional lattice with the periodic potential is described. This approach, based on the homotopy perturbation method (HPM), gives an approximate analytic solution which has a high degree of convergence, and at the same time high degree of accuracy. The convergence of the HPM is examined and formally confirmed. In addition, the efficiency of the HPM method is illustrated in two examples.
PB  - Bucuresti : Editura Academiei Romane
T2  - Romanian Reports in Physics
T1  - Solving Schrödinger Equation for a Particle in One-Dimensional Lattice: An Homotopy Perturbations Approach
VL  - 71
IS  - 1
SP  - 101
UR  - https://hdl.handle.net/21.15107/rcub_jakov_1661
ER  - 
@article{
author = "Kevkić, Tijana and Stojanović, Vladica and Petković, Dragan",
year = "2019",
abstract = "In this paper, a novel approach for an approximate solving Schrödinger equation for a particle in the one-dimensional lattice with the periodic potential is described. This approach, based on the homotopy perturbation method (HPM), gives an approximate analytic solution which has a high degree of convergence, and at the same time high degree of accuracy. The convergence of the HPM is examined and formally confirmed. In addition, the efficiency of the HPM method is illustrated in two examples.",
publisher = "Bucuresti : Editura Academiei Romane",
journal = "Romanian Reports in Physics",
title = "Solving Schrödinger Equation for a Particle in One-Dimensional Lattice: An Homotopy Perturbations Approach",
volume = "71",
number = "1",
pages = "101",
url = "https://hdl.handle.net/21.15107/rcub_jakov_1661"
}
Kevkić, T., Stojanović, V.,& Petković, D.. (2019). Solving Schrödinger Equation for a Particle in One-Dimensional Lattice: An Homotopy Perturbations Approach. in Romanian Reports in Physics
Bucuresti : Editura Academiei Romane., 71(1), 101.
https://hdl.handle.net/21.15107/rcub_jakov_1661
Kevkić T, Stojanović V, Petković D. Solving Schrödinger Equation for a Particle in One-Dimensional Lattice: An Homotopy Perturbations Approach. in Romanian Reports in Physics. 2019;71(1):101.
https://hdl.handle.net/21.15107/rcub_jakov_1661 .
Kevkić, Tijana, Stojanović, Vladica, Petković, Dragan, "Solving Schrödinger Equation for a Particle in One-Dimensional Lattice: An Homotopy Perturbations Approach" in Romanian Reports in Physics, 71, no. 1 (2019):101,
https://hdl.handle.net/21.15107/rcub_jakov_1661 .