INIFTA 05425
INSTITUTO DE INVESTIGACIONES FISICO-QUIMICAS TEORICAS Y APLICADAS
Unidad Ejecutora - UE
artículos
Título:
One-Dimensional Quantum-Mechanical Model for a Particle Attached to a Surface
Autor/es:
FRANCISCO M. FERNÁNDEZ
Revista:
EUROPEAN JOURNAL OF PHYSICS
Editorial:
IOP PUBLISHING LTD
Referencias:
Año: 2010 vol. 31 p. 961 - 967
ISSN:
0143-0807
Resumen:
We present a simple one-dimensional quantum-mechanical model for a particle attached to a surface. It leads to the Schr¨odinger equation for a harmonic oscillator bounded on one side that we solve in terms of Weber functions and discuss the behaviour of the eigenvalues and eigenfunctions. We derive the virial theorem and other exact relationships as well as the asymptotic behaviour of the eigenvalues. We calculate the zero-point energy for model parameters corresponding to H adsorbed on Pd(1 0 0). The model is suitable for an advanced undergraduate or graduate course on quantum mechanics.
