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