Solving Schrödinger Equation for a Particle in One-Dimensional Lattice: An Homotopy Perturbations Approach
Само за регистроване кориснике
2019
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
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.
Кључне речи:
Homotopy perturbations / Schrödinger equation / periodic potential / wave function / periodic boundary conditions / approximationИзвор:
Romanian Reports in Physics, 2019, 71, 1, 101-Издавач:
- Bucuresti : Editura Academiei Romane
Институција/група
JakovTY - 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 .