Efficient Energy Level Calculations in InP 2D-Quantum Box with Two Distinct Potentials Using the Sparse Numerov Method

Fatih Koç

Makale detayları

Efficient Energy Level Calculations in InP 2D-Quantum Box with Two Distinct Potentials Using the Sparse Numerov Method

Yazarlar:

Fatih Koç

Yayıncı:

Igdir University

Ana Başlıklar:

Yoğun Maddenin Elektronik ve Manyetik Özellikleri; Süperiletkenlik

Dergi:

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.14 Issue 1, pp.209-218

Belge Tipi:

Makale

Yayın Tarihi:

1/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001311760

pISSN:

2536-4618

Anahtar kelimeler:

Özet:

 In this study, energy level calculations for an InP 2D quantum box structure with two distinct infinite potential power-exponential potential potentials have been conducted using the sparse Numerov method. The 2D Schrödinger equation has been transformed in accordance with the sparse Numerov approach, followed by the creation of the solution matrix employing appropriate finite difference expressions. A comparative analysis of calculation results has been performed with respect to CPU time, memory usage, and ground state energy for both Oh4 and Oh6 accuracy. The suitability of the sparse Numerov method for 2D nanostructures has been thoroughly discussed. The results revealed that the sparse Numerov approach yields physically meaningful and rational outcomes in the InP 2D quantum box structure. Importantly, it demands significantly lower CPU time and memory resources compared to the classical Numerov method, emphasizing its practical applicability in this context.

 In this study, energy level calculations for an InP 2D quantum box structure with two distinct infinite potential power-exponential potential potentials have been conducted using the sparse Numerov method. The 2D Schrödinger equation has been transformed in accordance with the sparse Numerov approach, followed by the creation of the solution matrix employing appropriate finite difference expressions. A comparative analysis of calculation results has been performed with respect to CPU time, memory usage, and ground state energy for both Oh4 and Oh6 accuracy. The suitability of the sparse Numerov method for 2D nanostructures has been thoroughly discussed. The results revealed that the sparse Numerov approach yields physically meaningful and rational outcomes in the InP 2D quantum box structure. Importantly, it demands significantly lower CPU time and memory resources compared to the classical Numerov method, emphasizing its practical applicability in this context.

 In this study, energy level calculations for an InP 2D quantum box structure with two distinct infinite potential power-exponential potential potentials have been conducted using the sparse Numerov method. The 2D Schrödinger equation has been transformed in accordance with the sparse Numerov approach, followed by the creation of the solution matrix employing appropriate finite difference expressions. A comparative analysis of calculation results has been performed with respect to CPU time, memory usage, and ground state energy for both Oh4 and Oh6 accuracy. The suitability of the sparse Numerov method for 2D nanostructures has been thoroughly discussed. The results revealed that the sparse Numerov approach yields physically meaningful and rational outcomes in the InP 2D quantum box structure. Importantly, it demands significantly lower CPU time and memory resources compared to the classical Numerov method, emphasizing its practical applicability in this context.

 In this study, energy level calculations for an InP 2D quantum box structure with two distinct infinite potential power-exponential potential potentials have been conducted using the sparse Numerov method. The 2D Schrödinger equation has been transformed in accordance with the sparse Numerov approach, followed by the creation of the solution matrix employing appropriate finite difference expressions. A comparative analysis of calculation results has been performed with respect to CPU time, memory usage, and ground state energy for both Oh4 and Oh6 accuracy. The suitability of the sparse Numerov method for 2D nanostructures has been thoroughly discussed. The results revealed that the sparse Numerov approach yields physically meaningful and rational outcomes in the InP 2D quantum box structure. Importantly, it demands significantly lower CPU time and memory resources compared to the classical Numerov method, emphasizing its practical applicability in this context.

Makale detayları

Efficient Energy Level Calculations in InP 2D-Quantum Box with Two Distinct Potentials Using the Sparse Numerov Method

Yazarlar:

Fatih Koç

Yayıncı:

Igdir University

Ana Başlıklar:

Yoğun Maddenin Elektronik ve Manyetik Özellikleri; Süperiletkenlik

Dergi:

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.14 Issue 1, pp.209-218

Belge Tipi:

Makale

Yayın Tarihi:

1/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001311760

pISSN:

2536-4618

Sparse Numerov

approach 2D quantum box

Nanostructure

2D-Stencil

Sayı

Makale detayları

Efficient Energy Level Calculations in InP 2D-Quantum Box with Two Distinct Potentials Using the Sparse Numerov Method

Yazarlar: Fatih Koç

Yayıncı: Igdir University

Ana Başlıklar: Yoğun Maddenin Elektronik ve Manyetik Özellikleri; Süperiletkenlik

Dergi: Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.14 Issue 1, pp.209-218

Belge Tipi: Makale

Yayın Tarihi: 1/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001311760

pISSN: 2536-4618

Sparse Numerov

approach 2D quantum box

Nanostructure

2D-Stencil

Sayı

Yazarlar:

Fatih Koç

Yayıncı:

Igdir University

Ana Başlıklar:

Yoğun Maddenin Elektronik ve Manyetik Özellikleri; Süperiletkenlik

Dergi:

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.14 Issue 1, pp.209-218

Belge Tipi:

Makale

Yayın Tarihi:

1/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001311760

pISSN:

2536-4618