Evaluation of correlation functions and wave-functions of the Gaussian random potentials by numerical shooting method
DOI10.1007/S10910-014-0359-4zbMath1301.65061OpenAlexW2063723024MaRDI QIDQ460953
Publication date: 9 October 2014
Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10910-014-0359-4
finite difference methodnumerical examplesSchrödinger equationcorrelation functionquantum systemnumerical shooting methodatomic density fluctuationGaussian random potentials
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)
Cites Work
- Excited-state energy eigenvalue and wave-function evaluation of the Gaussian symmetric double-well potential problem via numerical shooting method. I
- Numerical solution of the one-dimensional time-independent Schrödinger's equation by recursive evaluation of derivatives
- Accurate analytic presentation of solution for the spiked harmonic oscillator problem
- Excited-state energy eigenvalue and wave-function evaluation of the Gaussian asymmetric double-well potential problem via numerical shooting method 2
- Ground-state energy eigenvalue calculation of the quantum mechanical well V(x)=\frac{1}{2}kx^{2}+\lambda {x^{4}} via analytical transfer matrix method
- Shooting methods for the Schrodinger equation
- Application of the eigenvalue moment method to important one-dimensional quantum systems
- Regularization of the WKB integrals
- Study of a class of non-polynomial oscillator potentials
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