A power series analysis of bound and resonance states of one-dimensional Schrödinger operators with finite point interactions
DOI10.1016/J.AMC.2021.126774OpenAlexW3212738945MaRDI QIDQ2060233
Publication date: 13 December 2021
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2021.126774
bound statesone-dimensional Schrödinger operatorspoint interactionsspectral parameter power seriesresonance states
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Distributions and ultradistributions as boundary values of analytic functions (46F20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Non-Hermitian Hamiltonians in quantum physics. Selected contributions from the 15th international conference on non-Hermitian Hamiltonians in quantum physics, Palermo, Italy, May 18--23, 2015
- Bound states and scattering coefficients of the \(-a\delta(x)+b{\delta}'(x)\) potential
- Exact solution of the Schrödinger equation with a new expansion of anharmonic potential with the use of the supersymmetric quantum mechanics and factorization method
- Gamow-Siegert functions and Darboux-deformed short range potentials
- Symmetries of Schrödinger operators with point interactions
- Spectral theory of one-dimensional Schrödinger operators with point interactions
- Spectral asymptotics for Schrödinger operators with periodic point interactions
- A new class of point interactions in one dimension
- Fundamental solution of the heat and Schrödinger equations with point interaction
- Distribution theory for discontinuous test functions and differential operators with generalized coefficients
- One-dimensional Schrödinger operator with \(\delta\)-interactions
- Non-Hermitian Quantum Mechanics
- On the existence of resonances in the transmission probability for interactions arising from derivatives of Dirac s delta function
- Numerical estimates of the essential spectra of quantum graphs with delta-interactions at vertices
- Four-parameter point-interaction in 1D quantum systems
- Spectral parameter power series for Sturm–Liouville problems
- Numerical calculation of the discrete spectra of one‐dimensional Schrödinger operators with point interactions
- One-dimensional Schrödinger operators with singular potentials: a Schwartz distributional formulation
This page was built for publication: A power series analysis of bound and resonance states of one-dimensional Schrödinger operators with finite point interactions