Modified homotopy perturbation method for modeling quantum dots in the quantum clusters

DOI10.1007/s10773-012-1231-6zbMath1262.81057OpenAlexW1979266037MaRDI QIDQ1930601

Yanyan Li

Publication date: 11 January 2013

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-012-1231-6

zbMATH Keywords

homotopy perturbation methodquantum dotsself-limiting model and clusters

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbation theories for operators and differential equations in quantum theory (81Q15) Quantum dots, waveguides, ratchets, etc. (81Q37)

Cites Work

• Homotopy perturbation method for nonlinear partial differential equations of fractional order
• Study on nonlinear Jeffery-Hamel flow by He's semi-analytical methods and comparison with numerical results
• Bifurcation sequences of vibroimpact systems near a 1:2 strong resonance point
• Haar wavelet in estimating depth profile of soil temperature
• Homotopy perturbation method for solving reaction-diffusion equations
• The application of the modified variational iteration method on the generalized Fisher's equation
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Homotopy perturbation method for solving boundary value problems
• Iterated He's homotopy perturbation method for quadratic Riccati differential equation
• Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order
• Analytical approximate solutions of the fractional convection–diffusion equation with nonlinear source term by He's homotopy perturbation method

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