Double Spiral Energy Surface in One-dimensional Quantum Mechanics of Generalized Pointlike Potentials

Simple item page
dc.creatorCheon, Taksu
dc.date1998-03-10
dc.date1998-05-10
dc.date.accessioned2026-07-07T12:47:16Z
dc.date.available2026-07-07T12:47:16Z
dc.descriptionWe analyze the eigenvalue problem of a quantum particle on the line with the generalized pointlike potential of three parameter family. It is shown that the energy surface in the parameter space has a set of singularities, around which different eigenstates are connected in the form of paired spiral stairway. An examplar wave-function aholonomy is displayed where the ground state is adiabatically turned into the second excited state after cyclic rotation in the parameter space. KEYWORDS: one-dimensional system, $δ'$ potential, non-trivial topology in quantum mechanics, exotic wave-function aholonomy
dc.description4 pages ReVTeX 4 epsf figures included, correction expanded refs
dc.identifierhttps://arxiv.org/abs/quant-ph/9803020
dc.identifierhttp://arxiv.org/abs/quant-ph/9803020
dc.identifierPhysics Letters A 248 (1998) 285-289
dc.identifierdoi:10.1016/S0375-9601(98)00725-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221661
dc.subjectQuantum Physics
dc.subjectCondensed Matter
dc.subjectExactly Solvable and Integrable Systems
dc.subjectNuclear Theory
dc.titleDouble Spiral Energy Surface in One-dimensional Quantum Mechanics of Generalized Pointlike Potentials
dc.typetext

Files

Collections

arXiv