Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 42, Issue 15, Pages 5072-5093Publisher
WILEY
DOI: 10.1002/mma.5444
Keywords
delta- and delta '-interactions; associate functions in the Jordan chain; complex eigenvalues; nonself-adjoint problems; point interactions; spectral parameter power series (SPPS) method
Categories
Funding
- Consejo Nacional de Ciencia y Tecnologia [283133]
Ask authors/readers for more resources
In this paper, we consider one-dimensional Schrodinger operators S-q on R with a bounded potential q supported on the segment h0,h1 and a singular potential supported at the ends h(0), h(1). We consider an extension of the operator S-q in L2 mml:mfenced close=) open=(separators=R defined by the Schrodinger operator Hq=-d2dx2+q and matrix point conditions at the ends h(0), h(1). By using the spectral parameter power series method, we derive the characteristic equation for calculating the discrete spectra of operator Hq. Moreover, we provide closed-form expressions for the eigenfunctions and associate functions in the Jordan chain given in the form of power series of the spectral parameter. The validity of our approach is proven in several numerical examples including self-adjoint and nonself-adjoint problems involving general point interactions described in terms of delta- and delta '-distributions.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available