Variational collocation for systems of coupled anharmonic oscillators

Abstract

We have applied a collocation approach to obtain the numerical solution to the stationary Schrödinger equation for systems of coupled oscillators. The dependence of the discretized Hamiltonian on scale and angle parameters is exploited to obtain optimal convergence to the exact results. A careful comparison with results taken from the literature is performed, showing the advantages of the present approach.

14 pages, 10 tables

References in corpus (5)

• Solving the Helmholtz equation for membranes of arbitrary shape
• Variational collocation on finite intervals
• A new method for studying the vibration of non-homogeneous membranes
• The optimized Rayleigh-Ritz scheme for determining the quantum-mechanical spectrum
• A new representation for non--local operators and path integrals

Cited by in corpus (3)

• Is space-time symmetry a suitable generalization of parity-time symmetry?
• Harmonic oscillator in a one-dimensional box
• Coupled anharmonic oscillators: the Rayleigh-Ritz approach versus the collocation approach