Abstract:The solution of the multi-dimensional Schrödinger equation in the generalized spherical coordinates is constructed in the Lagrange-mesh method. Laguerre and Jacobi meshes are used to construct matrix elements for the generalized Hamiltonian. The matrix elements are functions of quadrature abscissas and involve few free parameters for each angular dimension. A ring-shaped non-central separable potential, and a system of four linearly coupled anharmonic oscillators are used for illustrations of the efficiency an… Show more
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