250
21 Piecewise Interpolation Polynomials
Calling E = Hatomeig(n, m, rmax) with n = 6; m = 1000;
rmax= 100000; returns the first 25 eigenvalues together with a figure uncovering
the structure of the Hamiltonian matrix and its sparsity. The differences between the
computed values and the correct values are approximately 10 −12 for the example
above. A more thorough discussion with additional examples can be found in [1],
and some additional MATLAB-programs in [2].
References
1. Schweizer, W.: Numerical Quantum Dynamics. Kluwer Academic Publishers, Dordrecht (2001)
2. Schweizer, W.: Simulation physikalischer Systeme - Computational Physics mit MATLAB.
Walter de Gruyter GmbH, Berlin (2017)
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