TY  - JOUR
T1  - Energy Levels and Absorption Coefficients for Diverse Bounded Potentials: A Comprehensive Analysis
TT  - Çeşitli Bağlı Potansiyeller için Enerji Seviyeleri ve Soğurma Katsayıları: Kapsamlı Bir Analiz
AU  - Çakır, Raşit
AU  - Zərbaliyev, Tərlan
AU  - Yıldırım, Hasan
PY  - 2025
DA  - June
Y2  - 2025
DO  - 10.53501/rteufemud.1446402
JF  - Recep Tayyip Erdogan University Journal of Science and Engineering
JO  - RTEÜ-FEMÜD
PB  - Recep Tayyip Erdoğan Üniversitesi
WT  - DergiPark
SN  - 2687-2315
SP  - 14
EP  - 31
VL  - 6
IS  - 1
LA  - en
AB  - This article presents a comprehensive numerical investigation into the energy levels and absorption coefficients within quantum well structures, with a particular focus on the GaAs/AlGaAs system. Various bounded potentials, including the Rosen-Morse potential, Wood-Saxon potential, Pöschl-Teller potential, Razavy potential, inversely quadratic Hellmann potential, Kratzer-Fues potential, and Morse potential, are explored. Employing the Schrödinger equation, with considerations for effective mass and envelope function approximations, a discrete formulation is attained through finite differences. Throughout the analysis, the effective mass ratio is upheld as a constant value characteristic of GaAs. The study reveals that transition energies and absorption coefficients exhibit subtle variations in response to alterations in well parameters, spanning from the lower bounds of the near-infrared spectrum to the midpoints of the far-infrared region. By comprehensively studying these phenomena across a spectrum of potentials, this research contributes valuable insights into the behavior and characteristics of quantum well structures, particularly within the context of the GaAs/AlGaAs system.
KW  - Quantum well
KW  - intersubband absorption
KW  - GaAs
KW  - finite difference method
N2  - Bu makale, GaAs/AlGaAs sistemi üzerinde odaklanarak kuantum kuyu yapıları içindeki enerji seviyeleri ve soğurma katsayıları üzerine kapsamlı bir sayısal incelemeyi sunmaktadır. Rosen-Morse potansiyeli, Wood-Saxon potansiyeli, Pöschl-Teller potansiyeli, Razavy potansiyeli, ters kuadratik Hellmann potansiyeli, Kratzer-Fues potansiyeli ve Morse potansiyeli gibi çeşitli bağlı potansiyeller keşfedilmektedir. Etkin kütle ve zarf fonksiyonu yaklaşımlarını dikkate alarak, Schrödinger denklemi, sonlu farklar kullanılarak bir ayrık forma dönüştürülür. Analiz boyunca, etkin kütle oranı GaAs'ın karakteristik bir sabit değeri olarak tutulmuştur. Çalışma, kuyu parametrelerindeki değişikliklere karşı geçiş enerjileri ve emilim katsayılarının ince farklılıklar sergilediğini ortaya koymaktadır. Bu, yakın kızılötesi spektrumun alt sınırlarından uzak kızılötesi bölgenin ortalarına kadar uzanır. Farklı potansiyeller yelpazesinde bu fiziksel olayları kapsamlı bir şekilde inceleyerek, özellikle GaAs/AlGaAs sistemi bağlamında, bu araştırma kuantum kuyu yapılarının davranışı ve özellikleri hakkında değerli görüşler sunmaktadır.
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UR  - https://doi.org/10.53501/rteufemud.1446402
L1  - https://dergipark.org.tr/tr/download/article-file/3769212
ER  -