The discrete spectrum of the spinless one-dimensional Salpeter Hamiltonian perturbed byδ-interactions

DOI10.1088/1751-8113/48/18/185301zbMath1314.81058OpenAlexW1985532054MaRDI QIDQ5251076

Fabio Rinaldi, Silvestro Fassari, Sergio A. Albeverio

Publication date: 22 May 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/48/18/185301

zbMATH Keywords

eigenvaluesrenormalizationdiscrete spectrumbound statespoint interactionsspinless Salpeter Hamiltonian

Mathematics Subject Classification ID

Model quantum field theories (81T10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Operations with distributions and generalized functions (46F10) Eigenvalue problems for linear operators (47A75) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (5)

On the spectrum of two-particle Schrödinger operator with point interaction ⋮ On the spectrum of the one-particle Schrödinger operator with point interaction ⋮ The 3D perturbed Schrödinger Hamiltonian in a Friedmann flat spacetime testing the primordial universe in a non commutative spacetime ⋮ On the spectrum of the two-particle Schrödinger operator with point interaction ⋮ Unnamed Item

This page was built for publication: The discrete spectrum of the spinless one-dimensional Salpeter Hamiltonian perturbed byδ-interactions