Kernel polynomial approximations for densities of states and spectral functions

DOI10.1006/jcph.1996.0048zbMath0863.65080OpenAlexW2024211806MaRDI QIDQ1913742

Yanyan Li

Publication date: 2 July 1996

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1996.0048

zbMATH Keywords

uniform approximationChebyshev polynomial expansionsspectral functionsdensity of statesJackson kernelFermi projection operatorskernel polynomial methodvery large Hamiltonians

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Quantum equilibrium statistical mechanics (general) (82B10) Applications to the sciences (65Z05)

Related Items (20)

Electronic structure calculations for plane-wave codes without diagonalization ⋮ The Chebyshev propagator for quantum systems ⋮ An estimator for the diagonal of a matrix ⋮ Determination of eigenstates via Lanczos-based forward substitution and filter- diagonalization ⋮ Fast Computation of Spectral Densities for Generalized Eigenvalue Problems ⋮ High-performance implementation of Chebyshev filter diagonalization for interior eigenvalue computations ⋮ Body-ordered approximations of atomic properties ⋮ A general method for calculating lattice green functions on the branch cut ⋮ Efficient estimation of eigenvalue counts in an interval ⋮ Fast methods for resumming matrix polynomials and Chebyshev matrix polynomials. ⋮ Linear scaling quantum transport methodologies ⋮ Cucheb: a GPU implementation of the filtered Lanczos procedure ⋮ Solving large-scale interior eigenvalue problems to investigate the vibrational properties of the boson peak regime in amorphous materials ⋮ Electronic Density of States for Incommensurate Layers ⋮ The forced oscillator method: eigenvalue analysis and computing linear response functions ⋮ Error estimation of recursive orthogonal polynomial expansion method for large Hamiltonian system ⋮ Order-\(N\) methodologies and their applications ⋮ Approximating Spectral Densities of Large Matrices ⋮ The kernel polynomial method ⋮ Quantum Percolation in Disordered Structures

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