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On The Critical Point Structure of Eigenfunctions Belonging to the First Nonzero Eigenvalue of a Genus Two Closed Hyperbolic Surface
(Science Journal Publication, 2012-05-01)
We develop a method based on spectral graph theory to approximate the eigenvalues and eigenfunctions of the Laplace-Beltrami operator of a compact riemannian manifold. The method is applied to a closed hyperbolic surface ...
Energy spectrum and eigenfunctions through the Quantum Section Method
(Sociedade Brasileira de Física, 2001-12-01)
We present the Quantum Section Method as a quantization technique to compute the eigenvalues and the eigenfunctions of quantum systems. As an instructive example we apply this procedure to quantize the annular billiard. ...
Energy spectrum and eigenfunctions through the Quantum Section Method
(Sociedade Brasileira de Física, 2001-12-01)
We present the Quantum Section Method as a quantization technique to compute the eigenvalues and the eigenfunctions of quantum systems. As an instructive example we apply this procedure to quantize the annular billiard. ...
Variational method for excited states from supersymmetric techniques
(2003-11-01)
We suggest a method for constructing trial eigenfunctions for excited states to be used in the variational method. This method is a generalization of the one that uses a superpotential to obtain the trial functions for the ...
Variational method for excited states from supersymmetric techniques
(2003-11-01)
We suggest a method for constructing trial eigenfunctions for excited states to be used in the variational method. This method is a generalization of the one that uses a superpotential to obtain the trial functions for the ...