The one-dimensional harmonic oscillator in the presence of a dipole-like interaction

Palma, G; Raff U.

Abstract

The Schrödinger equation for a one-dimensional harmonic oscillator is solved in the presence of an external dipole field. The solution is obtained in closed form and resembles the solution of the three-dimensional harmonic oscillator in spherical coordinates. Due to the existence of a singularity at the origin and the absence of tunneling, this one-dimensional system has a twofold degeneracy. Therefore, the nondegeneracy of the eigenvalues breaks down as has been observed in other systems. © 2003 American Association of Physics Teachers.

Más información

Título según WOS: The one-dimensional harmonic oscillator in the presence of a dipole-like interaction
Título según SCOPUS: The one-dimensional harmonic oscillator in the presence of a dipole-like interaction
Título de la Revista: AMERICAN JOURNAL OF PHYSICS
Volumen: 71
Número: 3
Editorial: AMER ASSOC PHYSICS TEACHERS
Fecha de publicación: 2003
Página de inicio: 247
Página final: 249
Idioma: English
URL: http://link.aip.org/link/AJPIAS/v71/i3/p247/s1&Agg=doi
DOI:

10.1119/1.1526131

Notas: ISI, SCOPUS