Auxiliary fields as a tool for computing analytical solutions of the Schrödinger equation

Simple item page
dc.creatorSilvestre-Brac, B.
dc.creatorSemay, C.
dc.creatorBuisseret, F.
dc.date2008-02-25
dc.date2008-06-13
dc.date.accessioned2026-07-07T09:44:07Z
dc.date.available2026-07-07T09:44:07Z
dc.descriptionWe propose a new method to obtain approximate solutions for the Schrödinger equation with an arbitrary potential that possesses bound states. This method, relying on the auxiliary field technique, allows in many cases to find analytical solutions. It offers a convenient way to study the qualitative features of the energy spectrum of bound states in any potential. In particular, we illustrate our method by solving the case of central potentials with power-law form and with logarithmic form. For these types of potentials, we propose very accurate analytical energy formulae which improve a lot the corresponding formulae that can be found in literature.
dc.description2 figures
dc.identifierhttps://arxiv.org/abs/0802.3601
dc.identifierhttp://arxiv.org/abs/0802.3601
dc.identifierJ. Phys. A: Math. Theor. 41 (2008) 275301
dc.identifierdoi:10.1088/1751-8113/41/27/275301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162754
dc.subjectQuantum Physics
dc.subjectComputational Physics
dc.titleAuxiliary fields as a tool for computing analytical solutions of the Schrödinger equation
dc.typetext

Files

Collections

arXiv