The gap between the first two eigenvalues of Schrödinger operators with single-well potential

Xiu-Juan Yu and Chuan-Fu Yang

Applied Mathematics and Computation, 2015, vol. 268, issue C, 275-283

Abstract: In this paper the Schrödinger operators endowed with Neumann or Dirichlet boundary conditions, where the potential q ∈ L1[0, π] is single-well with transition point a ∈ (0, π), are considered. Suppose {νn}n ≥ 0 and {λn}n ≥ 1 are the set of eigenvalues for Neumann or Dirichlet problem, respectively, and the potential q(x) possesses an additional condition, we present estimates of lower bound for the differences ν1−ν0 and λ2−λ1, respectively. The results show that the energy transition for quantum particles jumping to the ground state is related to transition point a.

Keywords: Schrödinger operator; Single-well potential; Eigenvalue gap (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300315008590
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:275-283

DOI: 10.1016/j.amc.2015.06.078

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().