Function Spaces Associated with Schrodinger Operators: the PoEschl-Teller Potential

Abstract

We address the function space theory associated with the Schr??odinger operator H = -d2/dx2+V . The discussion is featured with potential V (x) = -n(n+1) sech2x, which is called in quantum physics Poschl-Teller potential. Using a dyadic system, we introduce Triebel-Lizorkin spaces and Besov spaces associated with H.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 30, 2006
Accession Number
ADA633511

Entities

People

  • Gestur Olafsson
  • Shijun Zheng

Organizations

  • University of South Carolina

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Banach Space
  • Continuous Spectra
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Functional Analysis
  • Inequalities
  • Interpolation
  • Mathematics
  • Partial Differential Equations
  • Physics
  • Quantum Mechanics
  • Scattering
  • Schrodinger Equation
  • Wave Equations
  • Wave Functions

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.
  • Systems Analysis and Design

Technology Areas

  • Quantum Computing
  • Space